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  4. Two litres of an ideal gas at a pressure of 10 atm expands isothermally into a vacuum until its total volume is 10 litres. How much heat is absorbed?

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Q. Two litres of an ideal gas at a pressure of $10 \,atm$ expands isothermally into a vacuum until its total volume is $10$ litres. How much heat is absorbed?

Thermodynamics

Solution:

For isothermal irreversible change
$q =-W =P_{ex}(V_{f}-V_{i})$
For expansion of an ideal gas in vacuum,
$p_{ex}=0$
$q=-W=0 (10-2)=0(8)=0$
$\therefore q=0$