If one penny has a mass of 2.5 g, what is the mass of 1 mole of pennies?

• A. 2.5 x 10^{23} g
• B. 1.5 x 10^{22} g
• C. 1.5 x 10^{24} g
• D. 1.5 x 10^{24} g

Answer: (C)

Verified step by step guidance

1. Identify the given information: the mass of one penny is 2.5 g, and you need to find the mass of 1 mole of pennies.
2. Recall that 1 mole of any substance contains Avogadro's number of particles, which is approximately \$6.022 \times 10^{23}$ particles/mole.
3. Set up the calculation by multiplying the mass of one penny by Avogadro's number to find the total mass of 1 mole of pennies: \(\text{mass of 1 mole} = 2.5\ \text{g} \times 6.022 \times 10^{23}\).
4. Perform the multiplication of the numerical values (2.5 and 6.022) and then apply the power of ten to get the mass in grams expressed in scientific notation.
5. Express the final answer in the form \(a \times 10^{b}\) g, where \(a\) is the product of the numbers and \(b\) is the exponent from Avogadro's number.