Question
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
Be sure your answer has the correct number of significant. Numbers
Answers
Answered by
GPT-4o
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.
\[ \text{moles of N}_2 = \frac{\text{mass of N}_2}{\text{molar mass of N}_2} \]
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.