The chemical formula for diethyl ether is

Question

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

Answer 1

To calculate the molar mass of diethyl ether, $(C{H}_{3}C{H}_2{)}_{2}O$, 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 $C{H}_{3}C{H}_2$ is repeated twice, each segment contributes 2 carbons).
- Hydrogen (H): There are 10 hydrogens (each $C{H}_3$ contributes 3 hydrogens and each $C{H}_2$ 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 $74.14\text{g/mol}$.