A sample of 100 g water is slowly heated from `27^(o)C` to `87^(o)C`. Calculate the change in the entropy of the water. specific heat capacity of water =4200 j/kg k .

Explanation

To calculate the change in entropy of the water as it is heated from \(27^{\circ}C\) to \(87^{\circ}C\), we can follow these steps:

### Step 1: Convert temperatures to Kelvin
First, we need to convert the temperatures from Celsius to Kelvin since the entropy formula requires absolute temperatures.

\[ T_1 = 27^{\circ}C + 273.15 = 300.15 \, K \]
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