To calculate the number of moles of nitrogen gas (N₂) produced from the mass, you can use the molar mass of nitrogen gas and the formula:
\[ \text{moles of N}_2 = \frac{\text{mass of N}_2}{\text{molar mass of N}_2} \]
First, determine the molar mass of nitrogen gas (N₂). Since nitrogen gas is diatomic, it consists of two nitrogen atoms (N). The atomic mass of nitrogen (N) is approximately 14.01 g/mol. Therefore, the molar mass of N₂ is:
\[ \text{Molar mass of N}_2 = 2 \times 14.01 \, \text{g/mol} = 28.02 \, \text{g/mol} \]
Now, use the given mass of nitrogen gas to find the number of moles:
\[ \text{moles of N}_2 = \frac{83.5 \, \text{g}}{28.02 \, \text{g/mol}} \]
\[ \text{moles of N}_2 = 2.980 \]
The given value has three significant figures, so the result should also be reported with three significant figures:
\[ \text{moles of N}_2 \approx 2.98 \]
Therefore, the number of moles of nitrogen gas produced is approximately \(2.98\) moles.
A chemist measures the amount of nitrogen gas produced during an experiment. She finds that 83.5 g of nitrogen gas is produced. Calculate the number of moles of nitrogen gas produced
Be sure your answer has the correct number of significant. Numbers
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