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Chapter 2: Problem 19

Which has more atoms: \(1.008 \mathrm{~g}\) of hydrogen or \(39.95 \mathrm{~g}\) of argon? Explain your reasoning.

Short Answer

Expert verified
1.008 g of hydrogen and 39.95 g of argon both have the same number of atoms.

Step by step solution

01

Calculate the number of moles

To calculate the number of moles, use the formula: \(\mathrm{Number~of~moles = \frac{mass}{molar~mass}}\). \For hydrogen: \(\mathrm{Number~of~moles = \frac{1.008g}{1.008~g/mol} = 1~mol}\). \For argon: \(\mathrm{Number~of~moles = \frac{39.95g}{39.95~g/mol} = 1~mol}\). \Both hydrogen and argon have 1 mole according to the given weights.
02

Calculate the number of atoms

Use Avogadro's number to calculate the number of atoms. For hydrogen and argon, since they both have 1 mole, it means they both have \(6.022 × 10^{23} \mathrm{~atoms}\), as per Avogadro's number.
03

Compare the number of atoms

In comparing the number of atoms, since they both have \(6.022 × 10^{23} \mathrm{~atoms}\) the conclusion is that 1.008 g of hydrogen and 39.95 g of argon have the same number of atoms.

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