How many silver atoms are present in 3.75 moles of silver (Ag)?

• A. 6.02 × 10^{23} atoms
• B. 3.75 × 10^{23} atoms
• C. 1.50 × 10^{24} atoms
• D. 2.26 × 10^{24} atoms

Answer: (D)

Verified step by step guidance

1. Identify the given quantity: 3.75 moles of silver (Ag).
2. Recall that 1 mole of any substance contains Avogadro's number of particles, which is \$6.02 \times 10^{23}$ atoms/mole.
3. Set up the calculation to find the total number of silver atoms by multiplying the number of moles by Avogadro's number: \(\text{Number of atoms} = 3.75 \text{ moles} \times 6.02 \times 10^{23} \text{ atoms/mole}\).
4. Perform the multiplication of the numerical values and add the exponents of 10 according to the rules of exponents (when multiplying powers of 10, add the exponents).
5. Express the final answer in scientific notation to represent the total number of silver atoms in 3.75 moles.