Calculate the standard entropy change for the reaction `X hArr Y` if the value of `DeltaH^@ = 28.40 kJ` and equilibirum constant is `1.8 xx 10^(-7)` at 298 K.

Explanation

To calculate the standard entropy change (ΔS°) for the reaction \( X \rightleftharpoons Y \), we can use the relationship between Gibbs free energy change (ΔG°), enthalpy change (ΔH°), and entropy change (ΔS°). The steps are as follows:

### Step 1: Write down the relevant equations
We know that:
\[ \Delta G^\circ = \Delta H^\circ - T \Delta S^\circ \]
Also, we can express ΔG° in terms of the equilibrium constant (K):
...