Quantifying Atoms Molecules & Moles: A Comprehensive Chemistry Guide

Chapter 0, Problem 7.3

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QUESTION:

Calculate each of the following:

a. number of \(\mathrm{C}\) atoms in 0.500 mole of \(\mathrm{C}\)

b. number of \(\mathrm{SO}_{2}\) molecules in 1.28 moles of \(\mathrm{SO}_{2}\)

c. moles of \(\mathrm{Fe}\) in \(5.22 \times 10^{22}\) atoms of \(\mathrm{Fe}\)

moles of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) in \(8.50 \times 10^{24}\) molecules of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\)

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QUESTION:

Calculate each of the following:

a. number of \(\mathrm{C}\) atoms in 0.500 mole of \(\mathrm{C}\)

b. number of \(\mathrm{SO}_{2}\) molecules in 1.28 moles of \(\mathrm{SO}_{2}\)

c. moles of \(\mathrm{Fe}\) in \(5.22 \times 10^{22}\) atoms of \(\mathrm{Fe}\)

moles of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) in \(8.50 \times 10^{24}\) molecules of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\)

ANSWER:

Step 1 of 4

Let’s calculate the number of carbon atoms in 0.500 moles.

As we know,

\(\begin{array}{l}1\text{ mole }=6.02\times10^{23}\text{ atoms }\\ \qquad\begin{aligned}\text{ Number of atoms }&=0.500\mathrm{\ mol}\text{ of }C\times\frac{6.02\times10^{23}\text{ atoms }}{1\mathrm{\ mol}\text{ of }C}\\ &=3.01\times10^{23}\text{ atoms }\end{aligned}\end{array}\)

Therefore, the number of carbon atoms in 0.500 moles of C is \(3.01 \times 10^{23}\) atoms.

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Quantifying Atoms Molecules & Moles: A Comprehensive Chemistry Guide
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Grasp the fundamental concept of moles in chemistry by equating it to the universally understood notion of a dozen. This video breaks down the usage of Avogadro's constant demonstrating calculations from moles to particles and vice versa. Using real-world examples like Carbon atoms Sulfur Dioxide molecules and Iron atoms viewers gain a clear understanding of moles and particle conversions

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