Calculate the standard free energy change for the following reaction at `27^@C`.
`H_2(g) + I_2(g) to 2HI(g) , DeltaH^@ = + 51.9 kJ`
[Given : `DeltaS_(H_2)^@ = 130.6 JK^(-1) mol^(-1)`
`DeltaS_(I_2)^@ = 116.7 JK^(-1) mol^(-1)`
`DeltaS_(HI)^@ = 206.3 JK^(-1) mol^(-1)]`.
Predict whether the reaction is feasible at 27°C or not.

Explanation

To calculate the standard free energy change (ΔG°) for the reaction \( H_2(g) + I_2(g) \rightarrow 2HI(g) \) at \( 27^\circ C \), we will follow these steps:

### Step 1: Calculate the standard entropy change (ΔS°) for the reaction.

The standard entropy change for the reaction can be calculated using the formula:

\[
\Delta S^\circ = \sum \Delta S^\circ_{\text{products}} - \sum \Delta S^\circ_{\text{reactants}}
...