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 Values
- Initial volume (V1) = 2 liters
- Final volume (V2) = 10 liters
- Initial pressure (P1) = 10 atm
- Temperature (T) = 25°C = 298 K (convert Celsius to Kelvin by adding 273)
- External pressure (P_external) = 0 atm (since it expands into a vacuum)
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