Ethylene on combustion gives carbon dioxide and water. Its heat of combustion is `1410.0 kJ mol^(-1)`. If the heat of formation of `CO_(2)` and `H_(2)O` are `393.3 kJ` and `286.2 kJ`, respectively. Calculate the heat of formation of ethylene.

Explanation

To calculate the heat of formation of ethylene (C₂H₄) from the given data, we can use Hess's law, which states that the total enthalpy change for a reaction is the sum of the enthalpy changes for the individual steps of the reaction.

### Step-by-Step Solution:

1. **Write the combustion reaction of ethylene:**
The combustion of ethylene can be represented as:
\[
\text{C}_2\text{H}_4(g) + 3\text{O}_2(g) \rightarrow 2\text{CO}_2(g) + 2\text{H}_2\text{O}(l)
...