Question

Determine the number of atoms in 3.75 mol Fe.

A) 2.25 x 10²⁴atoms
B) 6.02 x 10²³ atoms
C) 1.50 x 10²⁴ atoms
D) 9.45 x 10²³atoms

Answer 1

The number of atoms in 3.75 mol of Fe is 2.26 × 10²´ atoms, calculated by multiplying the number of moles by Avogadro's number.

Step-by-step explanation:

To determine the number of atoms in 3.75 mol of Fe, we multiply the number of moles by Avogadro's number (6.022 × 10²³ atoms/mol), which represents the number of atoms in one mole. The calculation is as follows:

3.75 mol × 6.022 × 10²³ atoms/mol = 2.25825 × 10²´ atoms

To have our answer in proper scientific notation, we round this to two significant figures, resulting in 2.26 × 10²´ atoms. Thus, the correct number of atoms in 3.75 mol of Fe is 2.26 × 10²´ atoms, which corresponds to answer choice A.