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
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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.
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.
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.
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).
Sum the values to find the total molar mass and round the result to two decimal places to match the precision requested.