Calculate the entropy change accompanying the following change of state
`H_(2)O (s, 10^(@)C, 1 atm) rarr H_(2)O(l, 10^(@)C, 1atm)`
`C_(P)` for ice `= 9 cla deg^(-1) mol^(-1)`
`C_(P)` for `H_(2)O = 18 cal deg^(-1) mol^(-1)`
Latent heat of fustion of ice `= 1440 cal mol^(-1) at 0^(@)C`.

Explanation

To calculate the entropy change accompanying the change of state from solid water (ice) at -10°C to liquid water at 10°C, we will break the process down into three stages and calculate the entropy change for each stage.

### Step 1: Calculate the entropy change for heating ice from -10°C to 0°C (ΔS1)

1. **Identify the formula**: The entropy change for heating can be calculated using the formula:
\[ \Delta S_1 = n C_P \ln\left(\frac{T_f}{T_i}\right) \]
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