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Multiple Choice
How many iron atoms are contained in 354 g of iron, given that the molar mass of iron is 55.85 g/mol?
A
3.82 x 10^24 atoms
B
6.02 x 10^23 atoms
C
7.11 x 10^23 atoms
D
1.23 x 10^24 atoms
Verified step by step guidance
1
First, identify the given information: the mass of iron is 354 g, and the molar mass of iron is 55.85 g/mol.
Calculate the number of moles of iron using the formula: \( \text{moles of iron} = \frac{\text{mass of iron}}{\text{molar mass of iron}} \). Substitute the given values into the formula: \( \text{moles of iron} = \frac{354 \text{ g}}{55.85 \text{ g/mol}} \).
Use Avogadro's number to convert moles of iron to atoms. Avogadro's number is \( 6.02 \times 10^{23} \text{ atoms/mol} \).
Multiply the number of moles of iron by Avogadro's number to find the number of iron atoms: \( \text{number of iron atoms} = \text{moles of iron} \times 6.02 \times 10^{23} \text{ atoms/mol} \).
Review the calculation steps to ensure accuracy and compare the calculated number of atoms with the provided options to identify the correct answer.