Questions: Chapter 7 Question 46 - Multiple Choice Part A 3.00 moles of NO2 have a mass of 46.0 g. 30.0 g. 138 g. 45.0 g. 90.0 g.

Chapter 7 Question 46 - Multiple Choice

Part A 3.00 moles of NO2 have a mass of 46.0 g. 30.0 g. 138 g. 45.0 g. 90.0 g.
Transcript text: Chapter 7 Question 46 - Multiple Choice Part A 3.00 moles of $\mathrm{NO}_{2}$ have a mass of 46.0 g. 30.0 g. 138 g. 45.0 g. 90.0 g.
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Solution

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Solution Steps

Step 1: Determine the Molar Mass of \(\mathrm{NO}_2\)

To find the mass of 3.00 moles of \(\mathrm{NO}_2\), we first need to determine the molar mass of \(\mathrm{NO}_2\). The molar mass is calculated by adding the atomic masses of nitrogen (N) and oxygen (O) in the compound:

  • Atomic mass of nitrogen (N) = 14.01 g/mol
  • Atomic mass of oxygen (O) = 16.00 g/mol

Since \(\mathrm{NO}_2\) contains one nitrogen atom and two oxygen atoms, its molar mass is:

\[ \text{Molar mass of } \mathrm{NO}_2 = 14.01 + 2 \times 16.00 = 46.01 \, \text{g/mol} \]

Step 2: Calculate the Mass of 3.00 Moles of \(\mathrm{NO}_2\)

Now, we use the molar mass to calculate the mass of 3.00 moles of \(\mathrm{NO}_2\):

\[ \text{Mass} = \text{Number of moles} \times \text{Molar mass} = 3.00 \, \text{moles} \times 46.01 \, \text{g/mol} = 138.03 \, \text{g} \]

Final Answer

The mass of 3.00 moles of \(\mathrm{NO}_2\) is approximately 138 g. Therefore, the correct answer is:

\(\boxed{138 \, \text{g}}\)

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