The mistake the student made in their calculations regarding the number of molecules of ammonium acetate is:
The student mistakenly calculated the mass instead of the number of molecules from moles.
While the calculation of mass (7.71 g) is correct, the misinterpretation occurs during the transition from moles to molecules. The correct method involves converting directly from moles to molecules using Avogadro's number (6.022 × 10²³ molecules/mol) on the original amount of moles (0.100 mol). The calculation should be \(0.100 , \text{mol} \times 6.022 \times 10^{23} , \text{molecules/mol} = 6.022 \times 10^{22} , \text{molecules}\), not involving the mass at all.
Therefore, the student's final answer for the number of molecules of ammonium acetate is incorrect.