What is the molar mass of sucrose (C_{12}H_{22}O_{11})?

• A. 256 g/mol
• B. 294 g/mol
• C. 342 g/mol
• D. 180 g/mol

Answer: (C)

Verified step by step guidance

1. Identify the molecular formula of sucrose, which is \(C_{12}H_{22}O_{11}\).
2. Find the atomic masses of each element from the periodic table: Carbon (C) ≈ 12 g/mol, Hydrogen (H) ≈ 1 g/mol, Oxygen (O) ≈ 16 g/mol.
3. Calculate the total mass contributed by each element by multiplying the atomic mass by the number of atoms in the formula: For Carbon, multiply 12 atoms by 12 g/mol; for Hydrogen, multiply 22 atoms by 1 g/mol; for Oxygen, multiply 11 atoms by 16 g/mol.
4. Add the total masses of Carbon, Hydrogen, and Oxygen together to get the molar mass of sucrose: \(\text{Molar mass} = (12 \times 12) + (22 \times 1) + (11 \times 16)\) g/mol.
5. Sum these values to find the final molar mass of sucrose, which will help you identify the correct answer from the given options.