Which of the following is the correct molar mass (to two decimal places) of CH3OCH3 (dimethyl ether)?

• A. 44.10 g/mol
• B. 32.05 g/mol
• C. 46.07 g/mol
• D. 30.03 g/mol

Answer: (C)

Verified step by step guidance

1. Identify the molecular formula of dimethyl ether, which is CH\3OCH\3. This means the molecule contains 2 carbon (C) atoms, 6 hydrogen (H) atoms, and 1 oxygen (O) atom.
2. Find the atomic masses of each element from the periodic table: Carbon (C) is approximately 12.01 g/mol, Hydrogen (H) is approximately 1.008 g/mol, and Oxygen (O) is approximately 16.00 g/mol.
3. Calculate the total mass contributed by each element by multiplying the number of atoms by their atomic masses: For carbon, multiply 2 by 12.01; for hydrogen, multiply 6 by 1.008; for oxygen, multiply 1 by 16.00.
4. Add all these contributions together to get the molar mass of dimethyl ether: Molar mass = (2 \times 12.01) + (6 \times 1.008) + (1 \times 16.00).
5. Sum the values to find the total molar mass and round the result to two decimal places to match the precision requested.