Final answer:
To find the mass in grams of 0.137 moles of H2SO4, multiply the number of moles by the molar mass of H2SO4 (98.09 g/mol) to get 13.4 grams, expressed to three significant figures.
Step-by-step explanation:
To calculate the number of grams in 0.137 mols of H2SO4, we need to multiply the number of moles by the molar mass of H2SO4. The molar mass is the sum of the atomic masses of all the atoms in the molecule: H (1.01 g/mol) × 2 + S (32.07 g/mol) + O (16.00 g/mol) × 4 = 2.02 g + 32.07 g + 64.00 g = 98.09 g/mol. So, 0.137 mols × 98.09 g/mol gives us the mass in grams of the sulfuric acid.
Calculation: 0.137 mol × 98.09 g/mol = 13.4393 g of H2SO4
Our final answer, expressed to three significant figures, is 13.4 grams of H2SO4.