Calculate the resonance energy of isoprene `(C_(5)H_(8))` from the data given. Standard Heats of combustion of isoprene, carbon and hydrogen are `-3186, -393.5`, and `-285.83 kJ mol^(-1)`, respectively. Bond energies of `C=C, C-C, C-H` and `H-H` bonds are `615, 348, 413` and `435.8 kJ mol^(-1)` respectively. Standard heat of sublimation of graphite is `718.3 kJ mol^(-1)`.

Explanation

To calculate the resonance energy of isoprene (C₅H₈), we will follow these steps:

### Step 1: Write the formation reaction of isoprene
The formation reaction of isoprene from its elements in their standard states can be represented as:
\[ 5 \text{C (s)} + 4 \text{H}_2 \text{(g)} \rightarrow \text{C}_5\text{H}_8 \text{(g)} \]
We denote the standard heat of formation of isoprene as \(\Delta H_f\).

### Step 2: Write the combustion reactions
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