A 6 litre cylinder contained 280 g of `N_(2)` gas at `27^(@)`C. Due to sudden leakage through the hole, all the gas escaped into atmosphere and the cylinder became empty.If the atmospheric pressure is 1.0 atmosphere, calculate the work done by the gas.

Explanation

To solve the problem of calculating the work done by the gas when it escapes from the cylinder, we will follow these steps:

### Step 1: Identify the given values
- Volume of the cylinder, \( V_1 = 6 \, \text{liters} \)
- Mass of \( N_2 \) gas, \( m = 280 \, \text{g} \)
- Temperature, \( T = 27^\circ C = 300 \, \text{K} \) (since \( T(K) = T(°C) + 273 \))
- Atmospheric pressure, \( P = 1.0 \, \text{atm} \)

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