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Change in internal energy

An insulator container contains 4 moles of an ideal diatomic gas at temperature T. Heat Q is supplied to the gas, due to which 2 moles of the gas are dissociated into atoms but temperature of the gas remains constant.


Q=ΔU=UfUi= ( internal energy of 4 moles of a monoatomic gas + internal energy of the 2 moles of diatomic gas) – ( internal energy of 4 moles of diatomic ideal gas) =  (4×3RT2+2×52RT)(4×52RT)=RT

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