One kg of a diatomic ideal gas is heated at constant pressure from 100 K to 600 K by supplying 500 kJ. Find its constant-volume specific heat in kJ/(kg K) (two decimal places).
At constant pressure, $Q=mc_p\Delta T$, giving $c_p=500/(1\times500)=1$ kJ/(kg K). For the calorically perfect diatomic model, γ=7/5. Therefore $c_v=c_p/\gamma=1/1.4=0.7143$, or 0.71.
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