Questions: What is the molar mass of nitrogen gas? 28.0 g / mol 1.20 x 10^23 g / mol 14.0 g / mol 6.02 x 10^23 g / mol

What is the molar mass of nitrogen gas? 28.0 g / mol 1.20 x 10^23 g / mol 14.0 g / mol 6.02 x 10^23 g / mol
Transcript text: What is the molar mass of nitrogen gas? $28.0 \mathrm{~g} / \mathrm{mol}$ $1.20 \times 10^{23} \mathrm{~g} / \mathrm{mol}$ $14.0 \mathrm{~g} / \mathrm{mol}$ $6.02 \times 10^{23} \mathrm{~g} / \mathrm{mol}$
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Solution

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Solution Steps

Step 1: Understanding the Composition of Nitrogen Gas

Nitrogen gas is diatomic, meaning it consists of two nitrogen atoms. The chemical formula for nitrogen gas is \( \text{N}_2 \).

Step 2: Calculating the Molar Mass of a Single Nitrogen Atom

The atomic mass of a single nitrogen atom is approximately \( 14.0 \, \text{g/mol} \).

Step 3: Calculating the Molar Mass of Nitrogen Gas

Since nitrogen gas is diatomic (\(\text{N}_2\)), its molar mass is twice the atomic mass of a single nitrogen atom: \[ \text{Molar mass of } \text{N}_2 = 2 \times 14.0 \, \text{g/mol} = 28.0 \, \text{g/mol} \]

Final Answer

\(\boxed{28.0 \, \text{g/mol}}\)

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