Given that the molar mass of NO_2 is 46.01 g/mol, what is the mass of 9.44 × 10^{24} molecules of NO_2?

• A. 722 g
• B. 4.32 g
• C. 72.2 g
• D. 432 g

Answer: (A)

Verified step by step guidance

1. Identify the given information: the number of molecules of NO\_2 is \$9.44 \times 10^{24}$ molecules, and the molar mass of NO\_2 is 46.01 g/mol.
2. Recall that 1 mole of any substance contains Avogadro's number of molecules, which is \$6.022 \times 10^{23}$ molecules/mol.
3. Calculate the number of moles of NO\_2 by dividing the given number of molecules by Avogadro's number using the formula: \(moles = \frac{\text{number of molecules}}{6.022 \times 10^{23}}\)
4. Use the molar mass to convert moles to mass with the formula: \(mass = moles \times 46.01 \text{ g/mol}\)
5. Combine the steps to find the mass of NO\_2 corresponding to the given number of molecules without calculating the final value.