temp and volume relation for reversible adiabatic expansion of ideal gas
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the internal energy of an ideal gas depends only on the temperature and is independent of the volume (because there are no intermolecular forces), and so, for an ideal gas, CV = dU/dT, and so we have dU = CVdT. Thus for a reversible adiabatic process and an ideal gas, CVdT = −PdV.
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