Questions: Calculate the mass in grams of 2.52 mol of (NH4)2SO4. Express your answer to three significant figures and include the appropriate units.

Solution Steps

Calculate the molar mass of ammonium sulfate, (NH₄)₂SO₄, by summing the atomic masses of all atoms in the formula:

• N: 14.01 g/mol × 2 = 28.02 g/mol
• H: 1.01 g/mol × 8 = 8.08 g/mol
• S: 32.07 g/mol × 1 = 32.07 g/mol
• O: 16.00 g/mol × 4 = 64.00 g/mol

Total molar mass = 28.02 + 8.08 + 32.07 + 64.00 = 132.17 g/mol

Multiply the number of moles by the molar mass to find the mass: \[ \text{Mass} = \text{moles} \times \text{molar mass} \] \[ \text{Mass} = 2.52 \, \text{mol} \times 132.17 \, \text{g/mol} \]

\[ \text{Mass} = 2.52 \times 132.17 = 332.06 \, \text{g} \]

Final Answer