How many molecules are present in 0.500 mole of N_2O_5?

• A. 3.01 \times 10^{23} molecules
• B. 9.03 \times 10^{22} molecules
• C. 1.20 \times 10^{24} molecules
• D. 6.02 \times 10^{23} molecules

Answer: (A)

Verified step by step guidance

1. Identify the quantity given: 0.500 mole of N_2O_5. The problem asks for the number of molecules in this amount.
2. Recall Avogadro's number, which is the number of particles (atoms, molecules, ions) in one mole of a substance. Avogadro's number is \$6.02 \times 10^{23}$ particles per mole.
3. Set up the calculation to find the number of molecules by multiplying the number of moles by Avogadro's number: \(\text{Number of molecules} = \text{moles} \times 6.02 \times 10^{23}\).
4. Substitute the given value of moles into the equation: \(\text{Number of molecules} = 0.500 \times 6.02 \times 10^{23}\).
5. Perform the multiplication to find the number of molecules present in 0.500 mole of N_2O_5.