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Introduction to Chemistry

Bishop

Chapter 8

Unit Conversions - all with Video Answers

Educators

Chapter Questions

02:19

Problem 1

Write the metric base units and their abbreviations for length, mass, and volume. (See Section 1.4.)

Mercedes Mazza
Mercedes Mazza
Numerade Educator
01:08

Problem 2

Complete the following table by writing the type of measurement the unit represents (mass, length, volume, or temperature), and either the name or the abbreviation for the unit. (See Section 1.4.)
$$
\begin{array}{|c|c|c|c|c|c|}
\hline \text { Unit } & \begin{array}{c}
\text { Type of } \\
\text { measurement }
\end{array} & \text { Abbreviations } & \text { Unit } & \begin{array}{c}
\text { Type of } \\
\text { measurement }
\end{array} & \text { Abbreviations } \\
\hline \text { milliliter } & & & \text { kilometer } & & \\
\hline & & \mu \mathrm{g} & & & \mathrm{~K} \\
\hline
\end{array}
$$

Emily Himsel
Emily Himsel
Numerade Educator
06:16

Problem 3

Complete the following relationships between units. (See Section 1.4.)
a. $\_\_\_\_\_ \mathrm{m}=1 \mu \mathrm{~m}$
b. $\_\_\_\_\_ \mathrm{g}=1 \mathrm{Mg}$
c. $\_\_\_\_\_ \mathrm{L}=1 \mathrm{~mL}$
d. $\_\_\_\_\_ \mathrm{m}=1 \mathrm{~nm}$
e. $\_\_\_\_\_ \mathrm{cm}^3=1 \mathrm{~mL}$
f. $\_\_\_\_\_ \mathrm{L}=1 \mathrm{~m}^3$
g. $\_\_\_\_\_ \mathrm{kg}=1 \mathrm{t}(\mathrm{t}=$ metric ton $)$
h. $\_\_\_\_\_ \mathrm{Mg}=1 \mathrm{t}(\mathrm{t}=$ metric ton $)$

Amit Srivastava
Amit Srivastava
Numerade Educator
04:42

Problem 4

An empty 2-L graduated cylinder is weighed on a balance and found to have a mass of 1124.2 g . Liquid methanol, $\mathrm{CH}_3 \mathrm{OH}$, is added to the cylinder, and its volume measured as 1.20 L . The total mass of the methanol and the cylinder is measured as 2073.9 g . Based on the way these data are reported, what do you assume is the range of possible values that each represents? (See Section 1.5.)

Nicole Wood
Nicole Wood
Numerade Educator

Problem 5

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

You will find that the stepwise thought process associated with the procedure called unit analysis not only guides you in figuring out how to set up _____________ problems but also gives you confidence that your answers are _____________.

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Problem 6

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

The first step in the unit analysis procedure is to identify the unit for the value we want to calculate. We write this on the _____________ side of an equals sign. Next, we identify the _____________ that we will convert into the desired value, and we write it on the other side of the equals sign.

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Problem 7

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

In the unit analysis process, we multiply by one or more conversion factors that cancel the _____________ units and generate the _____________ units.

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Problem 8

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Note that the units in a unit analysis setup cancel just like _____________ in an algebraic equation.

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Problem 9

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

If you have used correct conversion factors in a unit analysis setup, and if your units _____________ to yield the desired unit or units, you can be confident that you will arrive at the correct answer.

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Problem 10

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Because the English inch is _____________ as 2.54 cm, the number 2.54 in this value is exact.

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Problem 11

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Unless we are told otherwise, we assume that values from measurements have an uncertainty of plus or minus _____________ in the last decimal place reported.

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Problem 12

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

If a calculation is performed using all exact values and if the answer is not rounded off, the answer is _____________.

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Problem 13

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

When an answer is calculated by multiplying or dividing, we round it off to thesame number of significant figures as the _____________ value with the _____________ significant figures.

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Problem 14

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

The number of significant figures, which is equal to the number of meaningful digits in a value, reflects the degree of _____________ in the value.

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Problem 15

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Numbers that come from definitions and from _____________ are exact.

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Problem 16

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Values that come from measurements are _____________.

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Problem 17

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

When adding or subtracting, round your answer to the same number of _____________ as the inexact value with the _____________.

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Problem 18

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Although there are exceptions, the densities of liquids and solids generally _____________ with increasing temperature.

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Problem 19

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

The densities of liquids and solids are usually described in _____________ or _____________.

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Problem 20

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

The particles of a gas are much farther apart than the particles of a liquid or solid, so gases are much _____________ than solids and liquids. Thus it is more convenient to describe the densities of gases as _____________.

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Problem 21

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Because the density of a substance depends on the substance’s _____________ and its temperature, it is possible to identify an unknown substance by comparing its density at a particular temperature to the _____________ densities of substances at the same temperature.

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Problem 22

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Because density is reported as a ratio that describes a relationship between two units, the density of a substance can be used in unit analysis to convert between the substance’s _____________ and its _____________.

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Problem 23

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Percentage by mass, the most common form of percentage used in chemical descriptions, is a value that tells us the number of mass units of the _____________ for each 100 mass units of the _____________.

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Problem 24

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

Anything that can be read as _____________ can be used as a unit analysis conversion factor.

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Problem 25

Complete the following statements by writing one of these words or phrases in each blank.
$$
\begin{array}{ll}
\text { cancel } & \text { inexact } \\
\text { correct } & \text { known } \\
\text { counting } & \text { left } \\
\text { decimal places } & \text { less dense } \\
\text { decrease } & \text { mass } \\
\text { defined } & \text { never exact } \\
\text { definitions } & \text { one } \\
\text { desired } & \text { part } \\
\text { fewest decimal places } & \text { "something per something" } \\
\text { fewest } & \text { uncertainty } \\
\text { exact } & \text { unit conversion } \\
\text { given value } & \text { unwanted } \\
\text { grams per cubic centimeter } & \text { variables } \\
\text { grams per liter } & \text { volume } \\
\text { grams per milliliter } & \text { whole } \\
\text { identity } &
\end{array}
$$

The numbers 1.8, 32, and 273.15 in the equations used for temperature conversions all come from _____________, so they are all exact.

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00:56

Problem 26

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Convert the following ordinary decimal numbers to scientific notation.
a. 67,294
b. $438,763,102$
c. 0.000073
d. 0.0000000435

Ronald Prasad
Ronald Prasad
Numerade Educator
05:49

Problem 27

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Convert the following ordinary decimal numbers to scientific notation.
a. 1,346.41
b. 429,209
c. 0.000002056
d. 0.00488

Dr. Satish Ingale
Dr. Satish Ingale
Numerade Educator
05:49

Problem 28

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Convert the following numbers expressed in scientific notation to ordinary decimal numbers.
a. $4.097 \times 10^3$
b. $1.55412 \times 10^4$
c. $2.34 \times 10^{-5}$
d. $1.2 \times 10^{-8}$

Dr. Satish Ingale
Dr. Satish Ingale
Numerade Educator
View

Problem 29

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Convert the following numbers expressed in scientific notation to ordinary decimal numbers.
a. $6.99723 \times 10^5$
b. $2.333 \times 10^2$
c. $3.775 \times 10^{-3}$
d. $5.1012 \times 10^{-6}$

Ronald Prasad
Ronald Prasad
Numerade Educator
02:05

Problem 30

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Use your calculator to complete the following calculations.
a. $34.25 \times 84.00$
b. $2607 \div 8.25$
c. $425 \div 17 \times 0.22$
d. $(27.001-12.866) \div 5.000$

Crystal Wang
Crystal Wang
Numerade Educator
02:05

Problem 31

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Use your calculator to complete the following calculations.
a. $36.6 \div 0.0750$
b. $848.8 \times 0.6250$
c. $575.0 \div 5.00 \times 0.20$
d. $2.50 \times(33.141+5.099)$

Crystal Wang
Crystal Wang
Numerade Educator
00:57

Problem 32

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Use your calculator to complete the following calculations.
a. $10^9 \times 10^3$
b. $10^{12} \div 10^3$
c. $10^3 \times 10^6 \div 10^2$
d. $10^9 \times 10^{-4}$
e. $10^{23} \div 10^{-6}$
f. $10^{-4} \times 10^2 \div 10^{-5}$

Ronald Prasad
Ronald Prasad
Numerade Educator
00:57

Problem 33

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Use your calculator to complete the following calculations. (See your calculator’s instruction manual if you need help using a calculator.)
a. $10^{12} \div 10^9$
b. $10^{14} \times 10^5$
c. $10^{17} \div 10^3 \times 10^6$
d. $10^{-8} \div 10^5$
e. $10^{-11} \times 10^8$
f. $10^{17} \div 10^{-9} \times 10^3$

Ronald Prasad
Ronald Prasad
Numerade Educator
02:01

Problem 34

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Use your calculator to complete the following calculations. (See your calculator's instruction manual if you need help using a calculator.)
a. $\left(9.5 \times 10^5\right) \times\left(8.0 \times 10^9\right)$
b. $\left(6.12 \times 10^{19}\right) \div\left(6.00 \times 10^3\right)$
c. $\left(2.75 \times 10^4\right) \times\left(6.00 \times 10^7\right) \div\left(5.0 \times 10^6\right)$
d. $\left(8.50 \times 10^{-7}\right) \times\left(2.20 \times 10^3\right)$
e. $\left(8.203 \times 10^9\right) \div 10^{-4}$
f. $\left(7.679 \times 10^{-4}-3.457 \times 10^{-4}\right) \div\left(2.000 \times 10^{-8}\right)$

David Collins
David Collins
Numerade Educator
14:27

Problem 35

If you have not yet read Appendix B, which describes scientific notation, you might want to read it before working the problems that follow. For some of these problems, you might also want to consult your calculator's instruction manual to determine the most efficient way to complete calculations.
Use your calculator to complete the following calculations. (See your calculator's instruction manual if you need help using a calculator.)
a. $\left(1.206 \times 10^{13}\right) \div\left(6.00 \times 10^6\right)$
b. $\left(5.00 \times 10^{23}\right) \times\left(4.4 \times 10^{17}\right)$
c. $\left(7.500 \times 10^3\right) \times\left(3.500 \times 10^9\right) \div\left(2.50 \times 10^{15}\right)$
d. $\left(1.85 \times 10^4\right) \times\left(2.0 \times 10^{-12}\right)$
e. $\left(1.809 \times 10^{-9}\right) \div\left(9.00 \times 10^{-12}\right)$
f. $\left.\left(7.131 \times 10^6-4.006 \times 10^6\right) \div 10^{-12}\right)$

Shalini Tyagi
Shalini Tyagi
Numerade Educator
06:16

Problem 36

Complete each of the following conversion factors by filling in the blank on the top of the ratio.
a. $\frac{\_\_\_\_\_ \mathrm{m}}{1 \mathrm{~km}}$
b. $\frac{\_\_\_\_\_ \mathrm{cm}}{\mathrm{~m}}$
c. $\frac{\_\_\_\_\_ \mathrm{mm}}{\mathrm{~m}}$
d. $\frac{\_\_\_\_\_ \mathrm{cm}^3}{1 \mathrm{~mL}}$
e. $\frac{\_\_\_\_\_ \mathrm{cm}}{1 \mathrm{in} .}$
f. $\frac{\_\_\_\_\_ \mathrm{g}}{1 \mathrm{lb}}$

Amit Srivastava
Amit Srivastava
Numerade Educator
01:04

Problem 37

Complete each of the following conversion factors by filling in the blank on the top of the ratio.
a. $\frac{\_\_\_\_\_ \mu \mathrm{m}}{1 \mathrm{~m}}$
b. $\frac{\_\_\_\_\_ \mathrm{nm}}{1 \mathrm{~m}}$
c. $\frac{\_\_\_\_\_ \mathrm{kg}}{1 \text { metric ton }}$
d. $\frac{\_\_\_\_\_ \mathrm{L}}{1 \text { gal }}$
e. $\frac{\_\_\_\_\_ \mathrm{km}}{1 \text { mi }}$
f. $\frac{\_\_\_\_\_ \mathrm{in.}}{1 \text { m }}$

Crystal Wang
Crystal Wang
Numerade Educator
View

Problem 38

Complete each of the following conversion factors by filling in the blank on the top of the ratio.
a. $\frac{\_\_\_\_\_ \mathrm{g}}{1 \mathrm{~kg}}$
b. $\frac{\_\_\_\_\_ \mathrm{mg}}{1 \mathrm{~g}}$
c. $\frac{\_\_\_\_\_ \mathrm{yd}}{1 \mathrm{~m}}$
d. $\frac{\_\_\_\_\_ \mathrm{lb}}{1 \mathrm{~kg}}$

James Kiss
James Kiss
Numerade Educator
00:43

Problem 39

Complete each of the following conversion factors by filling in the blank on the top of the ratio.
a. $\frac{\_\_\_\_\_ \mu \mathrm{g}}{1 \mathrm{~g}}$
b. $\frac{\_\_\_\_\_ \mathrm{mL}}{\mathrm{L}}$
c. $\frac{\_\_\_\_\_ \mu \mathrm{L}}{1 \mathrm{~L}}$
d. $\frac{\_\_\_\_\_ \mathrm{g}}{1 \mathrm{~oz}}$
e. $\frac{\_\_\_\_\_ \mathrm{qt}}{1 \mathrm{~L}}$

Yokshitha Reddy Bathula
Yokshitha Reddy Bathula
Numerade Educator
00:58

Problem 40

The mass of an electron is $9.1093897 \times 10^{-31} \mathrm{~kg}$. What is this mass in grams?

Dharmendra Jain
Dharmendra Jain
Numerade Educator
01:51

Problem 41

The diameter of a human hair is 2.5 micrometers. What is this diameter in meters?

James Erikson
James Erikson
Numerade Educator
00:38

Problem 42

The diameter of typical bacteria cells is 0.00032 centimeters. What is this diameter in micrometers?

Rikhil Makwana
Rikhil Makwana
Numerade Educator
00:51

Problem 43

The mass of a proton is $1.6726231 \times 10^{-27} \mathrm{~kg}$. What is this mass in micrograms?

AG
Ankit Gupta
Numerade Educator
01:47

Problem 44

The thyroid gland is the largest of the endocrine glands, with a mass between 20 and 25 grams. What is the mass in pounds of a thyroid gland measuring 22.456 grams?

David Collins
David Collins
Numerade Educator
00:08

Problem 45

The average human body contains 5.2 liters of blood. What is this volume in gallons?

David Collins
David Collins
Numerade Educator
00:42

Problem 46

The mass of a neutron is $1.674929 \times 10^{-27} \mathrm{~kg}$. Convert this to ounces. (There are 16 oz/lb.)

AG
Ankit Gupta
Numerade Educator
01:46

Problem 47

The earth weighs about $1 \times 10^{21}$ tons. Convert this to gigagrams. (There are 2000 lb/ton.)

Aadit Sharma
Aadit Sharma
Numerade Educator
00:38

Problem 48

A red blood cell is $8.7 \times 10^{-5}$ inches thick. What is this thickness in micrometers?

Rikhil Makwana
Rikhil Makwana
Numerade Educator
00:59

Problem 49

The gallbladder has a capacity of between 1.2 and 1.7 fluid ounces. What is the capacity in milliliters of a gallbladder that can hold 1.42 fluid ounces? (There are $32 \mathrm{fl} \mathrm{oz} / \mathrm{qt}$.)

Victor Salazar
Victor Salazar
Numerade Educator
03:52

Problem 50

Decide whether each of the numbers shown in bold type below is exact or not. If it is not exact, write the number of significant figures in it.
a. The approximate volume of the ocean, $\mathbf{1 . 5} \times \mathbf{1 0}^{\mathbf{2 1}} \mathrm{L}$.
b. A count of 24 instructors in the physical science division of a state college.
c. The $\mathbf{5 4} \%$ of the instructors in the physical science division who are women (determined by counting 13 women in the total of 24 instructors and then calculating the percentage)
d. The $\mathbf{2 5 \%}$ of the instructors in the physical science division who are left handed (determined by counting 6 left handed instructors in the total of 24 and then calculating the percentage)
e. $\frac{16 \mathrm{oz}}{1 \mathrm{lb}}$
f. $\frac{10^6 \mu \mathrm{~m}}{1 \mathrm{~m}}$
g. $\frac{1.057 \mathrm{qt}}{1 \mathrm{~L}}$
h. A measurement of $\mathbf{1 0 7 . 2 0 0} \mathrm{g}$ water
i. A mass of 0.2363 lb water (calculated from Part h, using $\frac{453.6 \mathrm{~g}}{1 \mathrm{lb}}$ as a conversion factor)
j. A mass of $\mathbf{1 . 1 8 2} \times \mathbf{1 0}^{-4}$ tons (calculated from the 0.2363 lb of the water described in Part i.)

Daniel Lai
Daniel Lai
Numerade Educator
01:37

Problem 51

Decide whether each of the numbers shown in bold type below is exact or not. If it is not exact, write the number of significant figures in it.
a. $\frac{\mathbf{1 0}^{\mathbf{9}} \mathrm{ng}}{1 \mathrm{~g}}$
b. $\frac{32 \mathrm{fl} \mathrm{oz}}{1 \mathrm{qt}}$
c. $\frac{\mathbf{1 . 0 9 4} \text { yd }}{1 \mathrm{~m}}$
d. The diameter of the moon, $\mathbf{3 . 4 8 0} \times \mathbf{1 0}^{\mathbf{3}} \mathrm{km}$
e. A measured volume of $\mathbf{8 . 0} \mathrm{mL}$ water
f. A volume $\mathbf{0 . 0 0 8 0} \mathrm{L}$ water, calculated from the volume in Part e, using

$$
\frac{1 \mathrm{~L}}{10^3 \mathrm{~mL}}
$$

g. A volume of $\mathbf{0 . 0 0 8 5}$ qt water, calculated from the volume in Part f , using

$$
\frac{1.057 \mathrm{qt}}{1 \mathrm{~L}}
$$

h. The count of $\mathbf{1 1 4}$ symbols for elements on a periodic table
i. The $\mathbf{4 0} \%$ of halogens that are gases at normal room temperature and pressure (determined by counting 2 gaseous halogens out of the total of 5 halogens and then calculating the percentage)
j. The $\mathbf{9 . 6} \%$ of the known elements that are gases at normal room temperature and pressure (determined by counting 11 gaseous elements out of the 114 elements total and then calculating the percentage)
Figure can't copy

Ronald Prasad
Ronald Prasad
Numerade Educator
01:13

Problem 52

Assuming that the following numbers are not exact, how many significant figures does each number have?
a. 13.811
b. 0.0445
c. 505
d. 9.5004
e. 81.00

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:47

Problem 53

Assuming that the following numbers are not exact, how many significant figures does each number have?
a. 9,875
b. 102.405
c. 10.000
d. 0.00012
e. 0.411

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:09

Problem 54

Assuming that the following numbers are not exact, how many significant figures does each number have?
a. $4.75 \times 10^{23}$
b. $3.009 \times 10^{-3}$
c. $4.000 \times 10^{13}$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:09

Problem 55

Assuming that the following numbers are not exact, how many significant figures does each number have?
a. $2.00 \times 10^8$
b. $1.998 \times 10^{-7}$
c. $2.0045 \times 10^{-5}$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:08

Problem 56

Convert each of the following numbers to a number having 3 significant figures.
a. 34.579
b. 193.405
c. 23.995
d. 0.003882
e. 0.023
f. $2,846.5$
g. $7.8354 \times 10^4$

David Collins
David Collins
Numerade Educator
00:55

Problem 57

Convert each of the following numbers to a number having 4 significant figures.
a. 4.30398
b. 0.000421
c. $4.44802 \times 10^{-19}$
d. 99.9975
e. 11,687.42
f. 874.992

Ronald Prasad
Ronald Prasad
Numerade Educator
03:25

Problem 58

Complete the following calculations and report your answers with the correct number of significant figures. The exponential factors, such as $10^3$, are exact, and the 2.54 in part (c) is exact. All the other numbers are not exact.
a. $\frac{2.45 \times 10^{-5}\left(10^{12}\right)}{\left(10^3\right) 237.00}=$
b. $\frac{16.050\left(10^3\right)}{(24.8-19.4)(1.057)(453.6)}=$
c. $\frac{4.77 \times 10^{11}(2.54)^3(73.00)}{\left(10^3\right)}=$

Evan Schroeder
Evan Schroeder
Numerade Educator
02:09

Problem 59

Complete the following calculations and report your answers with the correct number of significant figures. The exponential factors, such as $10^3$, are exact, and the 5280 in part (c) is exact. All the other numbers are not exact.
a. $\frac{8.9932 \times 10^{-2}\left(10^3\right) 0.0048}{\left(10^{-6}\right) 7.140}=$
b. $\frac{(44.945-23.775)\left(10^3\right) 3.785412}{(15.200)(453.59237)}=$
c. $\frac{456.8(5280)^2}{\left(10^3\right)^2(1.609)^2}=$

Ma Ednelyn Lim
Ma Ednelyn Lim
Numerade Educator
04:51

Problem 60

Report the answers to the following calculations to the correct number of decimal positions. Assume that each number is precise to $\pm 1$ in the last decimal position reported.
a. $0.8995+99.24=$
b. $88-87.3=$

Kim Trang Nguyen
Kim Trang Nguyen
Numerade Educator
View

Problem 61

Report the answers to the following calculations to the correct number of decimal positions. Assume that each number is precise to $\pm 1$ in the last decimal position reported.
a. $23.40-18.2=$
b. $948.75+62.45=$

Nicole Basile
Nicole Basile
Numerade Educator
01:41

Problem 62

Because the ability to make unit conversions using the unit analysis format is an extremely important skill, be sure to set up each of the following calculations using the unit analysis format, even if you see another way to work the problem, and even if another technique seems easier.
A piece of balsa wood has a mass of 15.196 g and a volume of 0.1266 L . What is its density in $\mathrm{g} / \mathrm{mL}$ ?

Ronald Prasad
Ronald Prasad
Numerade Educator
04:05

Problem 63

Because the ability to make unit conversions using the unit analysis format is an extremely important skill, be sure to set up each of the following calculations using the unit analysis format, even if you see another way to work the problem, and even if another technique seems easier.
A ball of clay has a mass of 2.65 lb and a volume of 0.5025 qt . What is its density in $\mathrm{g} / \mathrm{mL}$ ?

Ronald Prasad
Ronald Prasad
Numerade Educator
02:20

Problem 64

Because the ability to make unit conversions using the unit analysis format is an extremely important skill, be sure to set up each of the following calculations using the unit analysis format, even if you see another way to work the problem, and even if another technique seems easier.
The density of water at $0^{\circ} \mathrm{C}$ is $0.99987 \mathrm{~g} / \mathrm{mL}$. What is the mass in kilograms of 185.0 mL of water?

Hubert Agamasu
Hubert Agamasu
Numerade Educator
View

Problem 65

Because the ability to make unit conversions using the unit analysis format is an extremely important skill, be sure to set up each of the following calculations using the unit analysis format, even if you see another way to work the problem, and even if another technique seems easier.
The density of water at $3.98^{\circ} \mathrm{C}$ is $1.00000 \mathrm{~g} / \mathrm{mL}$. What is the mass in pounds of 16.785 L of water?

Ronald Prasad
Ronald Prasad
Numerade Educator
04:37

Problem 66

Because the ability to make unit conversions using the unit analysis format is an extremely important skill, be sure to set up each of the following calculations using the unit analysis format, even if you see another way to work the problem, and even if another technique seems easier.
The density of a piece of ebony wood is $1.174 \mathrm{~g} / \mathrm{mL}$. What is the volume in quarts of a 2.1549 lb piece of this ebony wood?

Kaila Lewis
Kaila Lewis
Numerade Educator
03:14

Problem 67

Because the ability to make unit conversions using the unit analysis format is an extremely important skill, be sure to set up each of the following calculations using the unit analysis format, even if you see another way to work the problem, and even if another technique seems easier.
The density of whole blood is $1.05 \mathrm{~g} / \mathrm{mL}$. A typical adult has about 5.5 L of whole blood. What is the mass in pounds of this amount of whole blood?

Evan Schroeder
Evan Schroeder
Numerade Educator
00:41

Problem 68

The mass of the ocean is about $1.8 \times 10^{21} \mathrm{~kg}$. If the ocean contains $1.076 \%$ by mass sodium ions, $\mathrm{Na}^{+}$, what is the mass in kilograms of $\mathrm{Na}^{+}$in the ocean?

David Collins
David Collins
Numerade Educator
02:56

Problem 69

While you are at rest, your brain gets about $15 \%$ by volume of your blood. If your body contains 5.2 L of blood, how many liters of blood are in your brain at rest?...how many quarts?

Alexander Allen
Alexander Allen
Numerade Educator
02:56

Problem 70

While you are doing heavy work, your heart pumps up to 25.0 L of blood per minute. Your brain gets about 3-4\% by volume of your blood under these conditions. What volume of blood in liters is pumped through your brain in 125 minutes of work that causes your heart to pump 22.0 L per minute, $3.43 \%$ of which goes to your brain?

Alexander Allen
Alexander Allen
Numerade Educator
02:56

Problem 71

While you are doing heavy work, your heart pumps up to 25.0 L of blood per minute. Your muscles get about $80 \%$ by volume of your blood under these conditions. What volume of blood in quarts is pumped through your muscles in 105 minutes of work that causes your heart to pump 21.0 L per minute, $79.25 \%$ by volume of which goes to your muscles?

Alexander Allen
Alexander Allen
Numerade Educator
04:03

Problem 72

In chemical reactions that release energy, from $10^{-8} \%$ to $10^{-7} \%$ of the mass of the reacting substances is converted to energy. Consider a chemical reaction for which $1.8 \times 10^{-8} \%$ of the mass is converted into energy. What mass in milligrams is converted into energy when $1.0 \times 10^3$ kilograms of substance reacts?

Dr. Satish Ingale
Dr. Satish Ingale
Numerade Educator
03:50

Problem 73

In nuclear fusion, about $0.60 \%$ of the mass of the fusing substances is converted to energy. What mass in grams is converted into energy when 22 kilograms of substance undergoes fusion?

Laszlo Zalavari
Laszlo Zalavari
Numerade Educator
03:54

Problem 74

If an elevator moves 1340 ft to the $103^{\text {rd }}$ floor of the Sears Tower in Chicago in 45 seconds, what is the velocity (distance traveled divided by time) of the elevator in kilometers per hour?
Figure can't copy

Susan Hallstrom
Susan Hallstrom
Numerade Educator
00:58

Problem 75

The moon orbits the sun with a velocity of $2.2 \times 10^4$ miles per hour. What is this velocity in meters per second?

Erika Bustos
Erika Bustos
Numerade Educator
01:14

Problem 76

Sound travels at a velocity of $333 \mathrm{~m} / \mathrm{s}$. How long does it take for sound to travel the length of a 100-yard football field?

Prabhu Ramji
Prabhu Ramji
Numerade Educator
00:40

Problem 77

How many miles can a commercial jetliner flying at 253 meters per second travel in 6.0 hours?

Emily Himsel
Emily Himsel
Numerade Educator
01:11

Problem 78

A peanut butter sandwich provides about $1.4 \times 10^3 \mathrm{~kJ}$ of energy. A typical adult uses about $95 \mathrm{kcal} / \mathrm{hr}$ of energy while sitting. If all of the energy in one peanut butter sandwich were to be burned off by sitting, how many hours would it be before this energy was used? (A kcal is a dietary calorie. There are $4.184 \mathrm{~J} / \mathrm{cal}$.)
Figure can't copy

Lottie Adams
Lottie Adams
Numerade Educator
03:02

Problem 79

One-third cup of vanilla ice cream provides about 145 kcal of energy. A typical adult uses about $195 \mathrm{kcal} / \mathrm{hr}$ of energy while walking. If all of the energy in onethird of a cup of vanilla ice cream were to be burned off by walking, how many minutes would it take for this energy to be used? (A kcal is a dietary calorie.)

Satpal Satpal
Satpal Satpal
Numerade Educator
01:11

Problem 80

When one gram of hydrogen gas, $\mathrm{H}_2(\mathrm{~g})$, is burned, 141.8 kJ of heat are released. How much heat is released when 2.3456 kg of hydrogen gas are burned?

David Collins
David Collins
Numerade Educator
01:54

Problem 81

When one gram of liquid ethanol, $\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}(l)$, is burned, 29.7 kJ of heat are released. How much heat is released when 4.274 pounds of liquid ethanol are burned?

Aadit Sharma
Aadit Sharma
Numerade Educator
03:18

Problem 82

When one gram of carbon in the graphite form is burned, 32.8 kJ of heat are released. How many kilograms of graphite must be burned to release $1.456 \times 10^4 \mathrm{~kJ}$ of heat?

Lottie Adams
Lottie Adams
Numerade Educator
01:57

Problem 83

When one gram of methane gas, $\mathrm{CH}_4(\mathrm{~g})$, is burned, 55.5 kJ of heat are released. How many pounds of methane gas must be burned to release $2.578 \times 10^3 \mathrm{~kJ}$ of heat?

Dominique Jan Tan
Dominique Jan Tan
Numerade Educator
05:42

Problem 84

The average adult male needs about 58 g of protein in the diet each day. A can of vegetarian refried beans has 6.0 g of protein per serving. Each serving is 128 g of beans. If your only dietary source of protein were vegetarian refried beans, how many pounds of beans would you need to eat each day?
Figure can't copy

Carson Merrill
Carson Merrill
Numerade Educator
05:42

Problem 85

The average adult needs at least $1.50 \times 10^2 \mathrm{~g}$ of carbohydrates in the diet each day. A can of vegetarian refried beans has 19 g of carbohydrate per serving. Each serving is 128 g of beans. If your only dietary source of carbohydrate were vegetarian refried beans, how many pounds of beans would you need to eat each day?

Carson Merrill
Carson Merrill
Numerade Educator
01:11

Problem 86

About $6.0 \times 10^5$ tons of $30 \%$ by mass hydrochloric acid, $\mathrm{HCl}(\mathrm{aq})$, are used to remove metal oxides from metals to prepare them for painting or for the addition of a chrome covering. How many kilograms of pure HCl would be used to make this hydrochloric acid? (Assume that 30\% has two significant figures. There are $2000 \mathrm{lb} /$ ton.)

David Collins
David Collins
Numerade Educator
02:15

Problem 87

Normal glucose levels in the blood are from 70 to 110 mg glucose per 100 mL of blood. If the level falls too low, there can be brain damage. If a person has a glucose level of $108 \mathrm{mg} / 100 \mathrm{~mL}$, what is the total mass of glucose in grams in 5.10 L of blood?

John Nicolle
John Nicolle
Numerade Educator
02:11

Problem 88

A typical non-obese male has about 11 kg of fat. Each gram of fat can provide the body with about 38 kJ of energy. If this person requires $8.0 \times 10^3 \mathrm{~kJ}$ of energy per day to survive, how many days could he survive on his fat alone?

Hailey Tomashek
Hailey Tomashek
Numerade Educator
00:56

Problem 89

The kidneys of a normal adult male filter 125 mL of blood per minute. How many gallons of blood are filtered in one day?

Dennis Howard
Dennis Howard
Numerade Educator
05:52

Problem 90

During quiet breathing, a person breathes in about 6 L of air per minute. If a person breathes in an average of 6.814 L of air per minute, what volume of air in liters does this person breathe in 1 day?

Diana Sechniasvili
Diana Sechniasvili
Numerade Educator
10:08

Problem 91

During exercise, a person breathes in between 100 and 200 L of air per minute. If a person is exercising enough to breathe in an average of 125.6 L of air per minute, what total volume of air in liters is breathed in exactly one hour of exercise?

Kaitlin Yaeger
Kaitlin Yaeger
Numerade Educator
00:56

Problem 92

The kidneys of a normal adult female filter 115 mL of blood per minute. If this person has 5.345 quarts of blood, how many minutes will it take to filter all of her blood once?

Dennis Howard
Dennis Howard
Numerade Educator
00:37

Problem 93

A normal hemoglobin concentration in the blood is $15 \mathrm{~g} / 100 \mathrm{~mL}$ of blood. How many kilograms of hemoglobin are there in a person who has 5.5 L of blood?

David Collins
David Collins
Numerade Educator
02:16

Problem 94

We lose between 0.2 and 1 liter of water from our skin and sweat glands each day. For a person who loses an average of $0.89 \mathrm{~L} \mathrm{H}_2 \mathrm{O}$ per day in this manner, how many quarts of water are lost from the skin and sweat glands in 30 days?

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
00:37

Problem 95

Normal blood contains from 3.3 to 5.1 mg of amino acids per 100 mL of blood. If a person has 5.33 L of blood and 4.784 mg of amino acids per 100 mL of blood, how many grams of amino acids does the blood contain?

David Collins
David Collins
Numerade Educator
02:18

Problem 96

The average heart rate is 75 beats $/ \mathrm{min}$. How many times does the average person's heart beat in a week?

Karly Williams
Karly Williams
Numerade Educator
01:59

Problem 97

The average heart rate is 75 beats $/ \mathrm{min}$. Each beat pumps about 75 mL of blood. How many liters of blood does the average person's heart pump in a week?

Molika So
Molika So
University of North Florida
07:38

Problem 98

In optimum conditions, one molecule of the enzyme carbonic anhydrase can convert $3.6 \times 10^5$ molecules per minute of carbonic acid, $\mathrm{H}_2 \mathrm{CO}_3$, to carbon dioxide, $\mathrm{CO}_2$, and water, $\mathrm{H}_2 \mathrm{O}$. How many molecules could be converted by one of these enzyme molecules in one week?

Preeti Kumari
Preeti Kumari
Numerade Educator
02:27

Problem 99

In optimum conditions, one molecule of the enzyme fumarase can convert $8 \times 10^2$ molecules per minute of fumarate to malate. How many molecules could be converted by one of these enzyme molecules in 30 days?

Banhishikha Sinha
Banhishikha Sinha
Numerade Educator
01:39

Problem 100

In optimum conditions, one molecule of the enzyme amylase can convert $1.0 \times 10^5$ molecules per minute of starch to the sugar maltose. How many days would it take one of these enzyme molecules to convert a billion $\left(1.0 \times 10^9\right)$ starch molecules?

Lottie Adams
Lottie Adams
Numerade Educator
01:56

Problem 101

There are about $1 \times 10^5$ chemical reactions per second in the 10 billion nerve cells in the brain. How many chemical reactions take place in a day in a single nerve cell?

Mitchell Cutler
Mitchell Cutler
Numerade Educator
01:11

Problem 102

When you sneeze, you close your eyes for about 1.00 s . If you are driving 65 miles per hour on the freeway and you sneeze, how many feet do you travel with your eyes closed?

Melissa Walsh
Melissa Walsh
Numerade Educator
01:52

Problem 103

Butter melts at $31^{\circ} \mathrm{C}$. What is this temperature in ${ }^{\circ} \mathrm{F}$ ? ....in K ?

Crystal Wang
Crystal Wang
Numerade Educator
00:55

Problem 104

Dry ice freezes at $-79^{\circ} \mathrm{C}$. What is this temperature in ${ }^{\circ} \mathrm{F}$ ? ....in K ?

Ma Ednelyn Lim
Ma Ednelyn Lim
Numerade Educator
01:18

Problem 105

A saturated salt solution boils at $226^{\circ} \mathrm{F}$. What is this temperature in ${ }^{\circ} \mathrm{C}$ ? ....in K ?

Narayan Hari
Narayan Hari
Numerade Educator
01:06

Problem 106

Table salt, sodium chloride, melts at $801^{\circ} \mathrm{C}$. What is this temperature in ${ }^{\circ} \mathrm{F}$ ? ....in K?

Crystal Wang
Crystal Wang
Numerade Educator
01:12

Problem 107

Iron boils at 3023 K . What is this temperature in ${ }^{\circ} \mathrm{C}$ ? ...in ${ }^{\circ} \mathrm{F}$ ?

Shahab Ullah
Shahab Ullah
Numerade Educator
01:25

Problem 108

Absolute zero, the lowest possible temperature, is exactly 0 K . What is this temperature in ${ }^{\circ} \mathrm{C}$ ?...in ${ }^{\circ} \mathrm{F}$ ?

Shahab Ullah
Shahab Ullah
Numerade Educator
02:22

Problem 109

The surface of the sun is $1.0 \times 10^4{ }^{\circ} \mathrm{F}$. What is this temperature in ${ }^{\circ} \mathrm{C}$ ? ...in K ?

Arpit Gupta
Arpit Gupta
Numerade Educator