Question

what is the mass percentage of c in ch₃och₃? provide an answer to two decimal places.

Explanation:

Step1: Find molar mass of \( \text{CH}_3\text{OCH}_3 \) (dimethyl ether)

Molar mass of C: \( 12.01 \, \text{g/mol} \), H: \( 1.008 \, \text{g/mol} \), O: \( 16.00 \, \text{g/mol} \).
Formula: \( 2\times12.01 + 6\times1.008 + 16.00 \)
Calculation: \( 24.02 + 6.048 + 16.00 = 46.068 \, \text{g/mol} \)

Step2: Mass of C in compound

2 C atoms: \( 2\times12.01 = 24.02 \, \text{g/mol} \)

Step3: Calculate mass percentage

Formula: \( \frac{\text{Mass of C}}{\text{Molar mass of compound}} \times 100 \)
Calculation: \( \frac{24.02}{46.068} \times 100 \approx 52.14\% \)

Answer:

\( 52.14 \)