Transcription of T V v /nR
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T V v /nR
Application of the First Law to Ideal Gases Calculate q,w, U, and H for ideal gas processes: dU = q + w dU = Cv dT dH = Cp dT. U . U = q + w for any process since = 0. V T. Isothermal Reversible Expansion dT = 0 so dU = and dH =. q = w V2 . w = nRT ln . V1 . V2 P1. P2V2 = P1 V1 or V1 = P2. P1 . w = nRT ln P . 2 . Adiabatic Reversible Expansion q = so dU = w = P dV. dU = P dV or dU = Cv dT. Cv dT = P dV. dT dV. Cv T = nR V. T 2 dT V dV. Cv = 2 nR. T 1 T V1 V. T2 V2. Cv ln T |T 1. = nR ln V |V. 1. T2 V2 . Cv ln = nR ln . T1 V1 . Cv T2 V2.
Colby College Application of the First Law to Ideal Gases Calculate q,w, ∆U, and ∆H for ideal gas processes: dU = ñq + ñw dU = C v dT dH = C p dT ∆U = q + w for any process since
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