Perform the following conversions. (a) 0.127 L=mL (b) 15.8 mL=L (c) 2896 mm=L (d) 2.65 m^3=cm^3

Name: Problem 27, Chapter 1: General Chemistry: Principles and Modern Applications
Uploaded: 2021-03-02T03:58:17-08:00
Duration: 8 min 55 s
Channel: Yongyao Zhou
Description: Perform the following conversions. (a) 0.127 L=mL (b) 15.8 mL=L (c) 2896 mm=L (d) 2.65 m^3=cm^3

step 1 Now let's practice some unit conversion about volume. First one is from liter to militer, that i

Perform the following conversions. (a) 0.127 L=mL (b) 15.8...

Perform the following conversions.
(a) $0.127 \mathrm{L}=$_________$\mathrm{mL}$
(b) $15.8 \mathrm{mL}=$_________$\mathrm{L}$
(c) $2896 \mathrm{mm}=$__________$\mathrm{L}$
(d) $2.65 \mathrm{m}^{3}=$__________$\mathrm{cm}^{3}$

Key Concepts

Metric System

The metric system is a standardized system of measurement based on powers of ten, which simplifies the process of converting between units. It includes units for length (meters, centimeters, millimeters) and volume (liters, milliliters, cubic meters, cubic centimeters) that are interconnected by fixed conversion factors.

Unit Conversion

Unit conversion is the process of changing a measurement from one unit to another using established conversion factors. This process involves multiplying by ratios that express the equivalence between the original unit and the desired unit, ensuring that the original measurement is accurately expressed in a different unit.

Conversion Factors

Conversion factors are numerical multipliers that relate different units of measurement. They are derived from the relationships defined within the metric system, such as the fact that 1 liter equals 1000 milliliters or that converting between different scales of length involves multiplying or dividing by powers of ten.

Dimensional Analysis

Dimensional analysis is a technique used to convert units by analyzing the dimensions involved. It ensures that the conversion process is consistent by systematically canceling out units and accounting for the exponent applied to the conversion factor, which is especially important when converting between units in different dimensions, such as converting cubic meters to cubic centimeters.

Transcript

00:01 Now let's practice some unit conversion about volume.

00:10 First one is from liter to militer, that is 0 .1 to 7.

00:20 Leader is equal to how many mill liter.

00:29 So for this conversion, from liter to militer, that is volume, right? so we'll need to know the equality, the relationship between liter and militer.

00:54 So liter is a greater unit.

00:59 Mill liter is when we divide one liter into a thousand parts, each part is one militer.

01:10 So one liter is a thousand million liter and we can set up dimensional analysis to solve for this conversion.

01:32 And use the relationship as a conversion factor times the conversion factor.

01:43 So one liter at the bottom, a thousand militer on top.

01:50 And that way the liter cancels the liter and then is equal to 0 .1 to 7 times 1 ,000.

02:04 That equals 127 militer.

02:13 The next one will do the opposite.

02:18 If we know militer, which is 15 .8, how do we convert to liter? how many liter is it equal to? so again, we still use the same equality, but when we set up the dimensional analysis, the conversion factor is different.

02:48 So for this one, it's 15 .8 militer comes to conversion factor.

02:59 This time, we want to put the militer at the bottom because we're given militer.

03:07 We want to cancel it.

03:10 So we put one liter on top, 1 ,000 militer abound.

03:19 That way militer cancels militer, which means it's 15 .8 divided by a thousand...

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