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First law of thermodynamics, heat capacity

Problem 2.29

Gaseous hydrogen contained initially under standard conditions in a sealed vessel of volume V=5.0lV=5.0 \mathrm{l} was cooled by ΔT\Delta T =55 K=55 \mathrm{~K}. Find how much the internal energy of the gas will change and what amount of heat will be lost by the gas.

Reveal Answer
ΔU=−p0VΔT/T0(γ−1)=−0.25 kJ,Q′=−ΔU\Delta U=-p_{0} V \Delta T / T_{0}(\gamma-1)=-0.25 \mathrm{~kJ}, Q^{\prime}=-\Delta U
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