The internal energy of a gas is given by U = 1.5 pV. It expands from 100 cm3 to 200 cm3 against a constant pressure of 1.0 × 105 Pa. Calculate the heat absorbed by the gas in the process.
Given
Constant pressure p=1.0×105 Pa
Change in volume ΔV=(200-100)×10-6m3=10-4m3
Internal energy U= 1.5pV
So, change in internal energy ΔU=1.5pΔV
=1.5×1.0×105×10-4
=15J
We know that work done by the gas is given as
ΔW=pΔV=1.0×105×10-4=10J
From first law of thermodynamics, we know that,
ΔQ=ΔU+ΔW
Where ΔQ=heat supplied to the system
ΔU=change in internal energy
ΔW=work done by the system
Therefore,
ΔQ=15+10=25J
∴ heat absorbed by the system=25J.