Calculate the equilibrium constant for the following reaction at `298K` and `1` atmospheric pressure:
`C(grap hite) +H_(2)O(l) rarr CO(g) +H_(2)(g)`
Given `Delta_(f)H^(Theta) at 298 K` for `H_(2)O(l) =- 286.0 kJ mol^(-1)`
for `CO(g) =- 110.5 kJ mol^(-1)`
`DeltaS^(Theta)` at `298K` for the reaction `= 252.6 J K^(-1) mol^(-1)`

Explanation

To calculate the equilibrium constant for the reaction

\[ \text{C (graphite) + H}_2\text{O (l)} \rightleftharpoons \text{CO (g) + H}_2\text{ (g)} \]

at 298 K and 1 atmospheric pressure, we will follow these steps:

### Step 1: Calculate ΔH° for the reaction
The standard enthalpy change of the reaction (ΔH°) can be calculated using the formula:
...