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Question

A system absorbs 850 J of heat and has 400 J of work done on it. What is the change in internal energy?

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Explanation

**Isochoric work** zero because dV=0, so W=∫ P dV=0, internal energy change equals heat added, Q = n C_v ΔT, C_v molar specific heat at constant volume, for monatomic 3/2 R, for diatomic 5/2 R, temperature change directly from heat input. First Law: Δ Q = Δ U + Δ W . Δ Q = 850 , Δ W = -400 (work done on system). 850 = Δ U - 400 ⇒ Δ U = 850 + 400 = 1250 J . Using first law ΔU = Q - W, W = ∫ P dV, isobaric W = P ΔV, isothermal W = n R

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