A mixture of hydrocarbons containing acetylene and ethane, when burned under controlled consitions produced `16.20g` of water and `139.7 kcal` of heat. Given the molar composition of the mixture. Standard heats of combustion for acetylene and ethane are, respectively, `-310.6` and `-373.8 kcal`.

Explanation

To solve the problem, we need to determine the moles of acetylene (C2H2) and ethane (C2H6) in the mixture based on the amount of water produced and the heat released during combustion. Here’s a step-by-step solution:

### Step 1: Write the Combustion Reactions
The combustion reactions for acetylene and ethane are as follows:

1. For acetylene (C2H2):
\[
\text{C}_2\text{H}_2 + \frac{5}{2} \text{O}_2 \rightarrow 2 \text{CO}_2 + \text{H}_2\text{O}
...