(a) How many atomic mass units are there in one pound mass? (b) How many in one gram? Comment on

(a) How many atomic mass units are there in one pound mass?...

Key Concepts

Atomic Mass Unit

The atomic mass unit (amu) is a standard unit of mass that quantifies mass on an atomic or molecular scale. It is defined as one-twelfth of the mass of an unbound neutral carbon-12 atom in its nuclear and electronic ground state. This unit is essential in atomic, molecular, and nuclear physics as it provides a convenient measure to compare masses of atoms and molecules without dealing with extraordinarily small numbers when expressed in kilograms.

Unit Conversion

Unit conversion is the process of translating a measurement from one unit to another using a conversion factor. In physics and chemistry, converting between units such as pounds, grams, and atomic mass units is necessary to ensure that comparisons and calculations are made within the same dimension. This process involves identifying the correct conversion constants and applying them systematically to transition from macroscopic to atomic scales.

Dimensional Analysis

Dimensional analysis is a technique used to check the consistency of units within equations and during conversions. By ensuring that both sides of an equation or conversion calculation have the same dimensions, one can verify the accuracy and validity of the process. This method is particularly useful when converting between different units of mass as it provides a structured approach that minimizes errors in the conversion process.

Scale Comparison

Scale comparison helps in understanding the enormous difference in magnitude between everyday macroscopic masses (like grams or pounds) and the incredibly small masses of atoms measured in atomic mass units. Recognizing this vast difference is crucial when performing conversions, as it often results in very large conversion factors and highlights the relative scales of the objects being measured.

Transcript

00:01 In this particular question, we have been asked that how many atomic mass units amus are there in one pound mass and one gram.

00:10 So in order to answer this question, we'll move in the reverse direction.

00:15 So as to first find out how many atomic mass units are in one gram, then we will extrapolate that to one pound.

00:23 All right? now, before that, we should know that one pound is equivalent to 455.

00:32 So we'll use this conversion factor later.

00:36 Alright? so this is the conversion factor we'll be using later in the question.

00:42 All right.

00:44 Now for the second part we can find out that 1 amu corresponds to mass of one hydrogen atom.

00:59 Alright? so this is the mass of one hydrogen atom that we know.

01:03 And 1 gram is the mass of 1 mole of hydrogen atoms.

01:09 Mass of 1 mole of hydrogen atoms.

01:15 Now what is this 1 mole? 1 mole corresponds to number of atoms equivalent to a number given by avogadro's number.

01:26 All right? so this number is called avogadroes number of atoms.

01:33 And this is equal to 6 .022 into 10 to the power 23.

01:42 So these many atoms are there in one mole of hydrogen.

01:47 That means one gram we can say from this information that one gram contains 6 .022 into 10 to the power 23 atomic mass units.

02:05 So this is the final conclusion from our observation here.

02:12 So this is the final conclusion.

02:15 Answer number one.

02:18 All right? or we can set two...

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