A 5 litre cylinder contained 10 moles of oxygen gas at `27^(@)C`. Due to sudden leakage through the hole, all the gas escaped into the atmosphere and the cylinder got empty. If the atmosphere pressure is 1.0 atm. Calculate the work done by the gas. Assuming gas to be ideal.

Explanation

To solve the problem, we need to calculate the work done by the gas when it escapes from the cylinder into the atmosphere. Here’s the step-by-step solution:

### Step 1: Identify the given data
- Volume of the cylinder, \( V_i = 5 \, \text{liters} \)
- Number of moles of gas, \( n = 10 \, \text{moles} \)
- Temperature, \( T = 27^\circ C = 27 + 273 = 300 \, \text{K} \)
- Atmospheric pressure, \( P_{\text{atm}} = 1.0 \, \text{atm} \)

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