A 5.0 litres cylinder contained 10 moles of hydrogen gas at 27°C. Due to leakage, entire gas escaped into the atmosphere. The atmospheric pressure is 1.0 atm. Calculate the work done by the gas assuming hydrogen to be an ideal gas.

Explanation

To calculate the work done by the hydrogen gas escaping from the cylinder, we will follow these steps:

### Step 1: Identify the initial conditions
- The volume of the gas (V_initial) = 5.0 liters
- The number of moles of hydrogen gas (n) = 10 moles
- The temperature (T) = 27°C = 27 + 273 = 300 K
- The atmospheric pressure (P) = 1.0 atm

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