Two litres of an ideal gas at a pressure of 10 atm expands isothermally at `25^(@)C` into a vacuum until its total volume is 10 litres. How much heat is absorbed and how much work is done in the expansion ?

Explanation

To solve the problem of an ideal gas expanding isothermally into a vacuum, we can follow these steps:

### Step 1: Identify the Given Information
- Initial volume, \( V_1 = 2 \) liters
- Final volume, \( V_2 = 10 \) liters
- Initial pressure, \( P = 10 \) atm
- Temperature, \( T = 25^\circ C = 298 \, K \) (convert Celsius to Kelvin)

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