Answer :

To convert grams of nitrogen gas to moles, you need to follow these steps:

1. Identify the Molar Mass of Nitrogen Gas (N₂):
Nitrogen gas (N₂) is diatomic, meaning each molecule consists of two nitrogen atoms. The atomic mass of a single nitrogen atom is approximately 14.01 grams/mol. Therefore, the molar mass of nitrogen gas (N₂) is:
[tex]\[
2 \times 14.01 \text{ grams/mol} = 28.02 \text{ grams/mol}
\][/tex]

2. Given Mass of Nitrogen Gas:
You have 36.2 grams of nitrogen gas.

3. Use the Formula to Find Moles:
The formula to convert the mass of a substance to moles is:
[tex]\[
\text{moles} = \frac{\text{mass (grams)}}{\text{molar mass (grams/mol)}}
\][/tex]

4. Substitute the Values into the Formula:
[tex]\[
\text{moles of N}_2 = \frac{36.2 \text{ grams}}{28.02 \text{ grams/mol}}
\][/tex]

5. Calculate the Moles:
Calculate the division to find the number of moles of nitrogen gas:
[tex]\[
\text{moles of N}_2 = 1.2919343326195576
\][/tex]

Therefore, 36.2 grams of nitrogen gas is approximately 1.29 moles of nitrogen gas when rounded to two decimal places.

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