The molar heats of combustion of `C_(2)H_(2)(g)`, C (graphite), and `H_(2)` are `-310.62`kcal, `-94.05` kcal and `-68.32` kcal respectively. Calculate the standard heat of formation of `C_(2)H_(2)(g)`.

Explanation

To calculate the standard heat of formation of \( C_2H_2(g) \), we will use the given molar heats of combustion of \( C_2H_2(g) \), \( C \) (graphite), and \( H_2 \). The heats of combustion provided are:

- \( \Delta H_c^\circ (C_2H_2) = -310.62 \) kcal
- \( \Delta H_c^\circ (C) = -94.05 \) kcal
- \( \Delta H_c^\circ (H_2) = -68.32 \) kcal

### Step 1: Write the combustion reaction for \( C_2H_2 \)

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