How many molecules are present in 0.500 moles of H_2?

• A. 1.50 \times 10^{22} molecules
• B. 1.20 \times 10^{24} molecules
• C. 6.02 \times 10^{23} molecules
• D. 3.01 \times 10^{23} molecules

Answer: (D)

Verified step by step guidance

1. Recall that one mole of any substance contains Avogadro's number of molecules, which is \$6.02 \times 10^{23}$ molecules per mole.
2. Identify the given quantity: 0.500 moles of \(H_2\) molecules.
3. Set up the calculation to find the number of molecules by multiplying the number of moles by Avogadro's number: \(\text{Number of molecules} = 0.500 \text{ moles} \times 6.02 \times 10^{23} \frac{\text{molecules}}{\text{mole}}\).
4. Perform the multiplication of the numerical values and keep track of the powers of ten separately to maintain accuracy.
5. Express the final answer in scientific notation to represent the number of molecules in 0.500 moles of \(H_2\).