Calculate the standard enthalpy of formation of acetylene from the following data `:`
`C_((g))+O_(2(g))rarr CO_(2(g)),DeltaH^(@)=-393kJ mol^(-1)`
`H_(2(g))+(1)/(2)O_(2(g)) rarr H_(2)O_((l)),DeltaH^(@)=-285.8kJ mol^(-1)`
`2C_(2)H_(2(g))+5O_(2(g))rarr 4CO_(2(g))+2H_(2)O_((l)),DeltaH^(@)=-2598.8kJ mol^(-1)`.

Explanation

To calculate the standard enthalpy of formation of acetylene (C₂H₂) from the given reactions, we will 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 1: Write the desired reaction
The standard enthalpy of formation of acetylene can be represented by the following reaction:
\[ 2C(s) + H_2(g) \rightarrow C_2H_2(g) \]

### Step 2: Identify the given reactions
We have three reactions with their respective enthalpy changes:
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