Questions: A penny has a mass of 2.50 g and the Moon has a mass of 7.35 × 10^22 kg. Use this information to answer the questions below. Be sure your answers have the correct number of significant digits. What is the mass of 1 mole of pennies? Round your answer to 3 significant digits. g How many moles of pennies have a mass equal to the mass of the Moon? Round your answer to 3 significant digits.

A penny has a mass of 2.50 g and the Moon has a mass of 7.35 × 10^22 kg.
Use this information to answer the questions below. Be sure your answers have the correct number of significant digits.

What is the mass of 1 mole of pennies?
Round your answer to 3 significant digits. g

How many moles of pennies have a mass equal to the mass of the Moon?
Round your answer to 3 significant digits.

Transcript text: A penny has a mass of 2.50 g and the Moon has a mass of $7.35 \times 10^{22} \mathrm{~kg}$. Use this information to answer the questions below. Be sure your answers have the correct number of significant digits. \begin{tabular}{|l|l|} \hline What is the mass of 1 mole of pennies? \\ Round your answer to 3 significant digits. & $\square \mathrm{g}$ \\ \hline \begin{tabular}{l} How many moles of pennies have a mass equal to the mass \\ of the Moon? \\ Round your answer to 3 significant digits. \end{tabular} \\ \hline \end{tabular} Explanation Check

Solution

Solution Steps

Step 1: Calculating the mass of 1 mole of objects

To calculate the mass of 1 mole of objects, we multiply the mass of a single object by Avogadro's number. \[ \text{Mass of 1 mole of objects} = m \times N_A = 2.5 \times 6.022\times 10^{23} = 1.5055\times 10^{24} \,\text{g} \]

Step 2: Comparing the mass of objects to another mass

To find how many moles of the objects have a mass equal to another known mass, we divide the target mass by the mass of one mole of the objects. \[ \text{Number of moles} = \frac{M_{target}}{m \times N_A} = \frac{7.35\times 10^{22}}{1.5055\times 10^{24}} = 0.0488 \,\text{moles} \]