A vessel of volume `8.0 xx 10^(-3)m^(3)` contains an ideal gas at `300 K` and pressure `200 kPa`. The gas is allowed to leak till the pressure falls to `125 k Pa`. Calculate the amount of the gas (in moles) leaked assuming that the temperature remains constants.

Explanation

To solve the problem of calculating the amount of gas leaked from a vessel, we can follow these steps:

### Step 1: Identify the Given Values
- Initial Pressure, \( P_1 = 200 \, \text{kPa} = 200 \times 10^3 \, \text{Pa} \)
- Final Pressure, \( P_2 = 125 \, \text{kPa} = 125 \times 10^3 \, \text{Pa} \)
- Volume of the vessel, \( V = 8.0 \times 10^{-3} \, \text{m}^3 \)
- Temperature, \( T = 300 \, \text{K} \)
- Ideal Gas Constant, \( R = 8.31 \, \text{J/(mol K)} \)
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