A cup of water contains 13.9 moles of water. How many molecules of water are in the cup?

• A. 6.02 × 10^{23} molecules
• B. 2.34 × 10^{25} molecules
• C. 8.37 × 10^{24} molecules
• D. 1.39 × 10^{25} molecules

Answer: (C)

Verified step by step guidance

1. Identify the given quantity: the number of moles of water, which is 13.9 moles.
2. Recall Avogadro's number, which is the number of molecules in one mole of any substance: \$6.02 \times 10^{23}$ molecules/mole.
3. Set up the calculation to find the total 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: \(\text{Number of molecules} = 13.9 \times 6.02 \times 10^{23}\).
5. Perform the multiplication to find the total number of water molecules in the cup.