An experiment is performed to measure the molar heat capacity of a gas at constant pressure using Regnault's method. The gas is initially contained in a cubical reservoir of size ` 40 cm xx 40 cm xx 40 cm xx at 600 kPa at 27^0C`. A part of the gas is brought out, heated to 100^0C and is passed through a calorimeter at constant pressure. The water equivalent of the calorimeter and its contents increases from `20^0C to 30^0C` during the experiment and the pressure in the reservoir decresases to `525 kPa`. Specific heat capacity of water =`4200 J kg^(-1) K^(1). Calculate the molar heat capacity Cp from these data.

Explanation

To calculate the molar heat capacity \( C_p \) of the gas using the provided data, we can follow these steps:

### Step 1: Calculate the initial and final number of moles of gas

1. **Initial conditions**:
- Pressure \( P_i = 600 \, \text{kPa} = 600 \times 10^3 \, \text{Pa} \)
- Volume \( V = 40 \, \text{cm} \times 40 \, \text{cm} \times 40 \, \text{cm} = 0.4 \, \text{m} \times 0.4 \, \text{m} \times 0.4 \, \text{m} = 0.064 \, \text{m}^3 \)
- Temperature \( T = 27^\circ C = 300 \, \text{K} \)
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