The chemical formula for diethyl ether is

(CH3CH2)_2O
Calculate the molar mass of diethyl ether.
Round your answer to 2 decimal places.

1 answer

To calculate the molar mass of diethyl ether, \((CH_3CH_2)_2O\), we need to sum up the atomic masses of all the atoms in the molecule.

First, we identify the number of each type of atom in the formula:

- Carbon (C): There are 4 carbons in the molecule (since \(CH_3CH_2\) is repeated twice, each segment contributes 2 carbons).
- Hydrogen (H): There are 10 hydrogens (each \(CH_3\) contributes 3 hydrogens and each \(CH_2\) contributes 2 hydrogens; \(2 \times (3 + 2) = 10\)).
- Oxygen (O): There is 1 oxygen atom.

Next, we use the approximate atomic masses of these elements:
- Carbon (C): ~12.01 g/mol
- Hydrogen (H): ~1.01 g/mol
- Oxygen (O): ~16.00 g/mol

Now we calculate the molar mass by multiplying the atomic masses by the number of each atom and summing them up:

\[
\text{Molar mass} = (4 \times 12.01) + (10 \times 1.01) + (1 \times 16.00)
\]

\[
\text{Molar mass} = 48.04 + 10.10 + 16.00
\]

\[
\text{Molar mass} = 74.14 \, \text{g/mol}
\]

Thus, the molar mass of diethyl ether is \(74.14 \, \text{g/mol}\).