A sample of `10g H_(2)O` is slowly heated from `27^(@)C to 87^(@)C`. Calculate the change in entropy during heating. (specific heat of water `=4200 J kg^(-1)K^(-1))`.

Explanation

To calculate the change in entropy during the heating of a sample of water, we can follow these steps:

### Step 1: Identify the given values
- Mass of water, \( m = 10 \, \text{g} = 0.01 \, \text{kg} \)
- Specific heat of water, \( s = 4200 \, \text{J kg}^{-1} \text{K}^{-1} \)
- Initial temperature, \( T_1 = 27^\circ C = 300 \, \text{K} \)
- Final temperature, \( T_2 = 87^\circ C = 360 \, \text{K} \)

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