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Q. Two litres of an ideal gas at apressure of $10\,atm$ expands isothermally into a vacuum until its total volume is $10$ litres. How much heat is absorbed and how much work is done in the expansion?

Thermodynamics

Solution:

$q = -w = P_{ex} (10 -2) = 0(8) = 0$
For isothermal expansion in vacuum, $P_{ex} = 0$