If Heat is added at constant volume, $$6300$$ J of heat are required to raise the temperature of an ideal gas by $$150$$ K. If instead, heat is added at constant pressure, $$8800$$ joules are required for the same temperature change. When the temperature of the gas changes by $$300K$$, the internal energy of the gas changes by

Question

If  Heat is added at constant volume, $$6300$$ J of heat are required to raise the  temperature of an ideal gas by $$150$$ K. If instead, heat is added at constant  pressure, $$8800$$ joules are required for the same temperature change. When the  temperature of the gas changes by $$300K$$, the internal energy of the gas  changes by

Infinity Learn · Accepted Answer

Δ$$U=nCV$$ΔT $$Given6300=$$Δ$$Ui=nCv(150)---(1)$$Δ$$U=nCV300---(2)divide$$ (2) by (1) we get so,  Δ$$U=6300150$$×$$300$$Δ$$U=12600J$$

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