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I don't think we can combine those two processes in one equation because to calculate entropy change for change in temperature, we assume that the volume is constant (ΔS=n.Cv.ln(T2/T1)) and for change in volume, we assume that the temperature is constant (ΔS=n.R.ln(V2/V1)). They have to be separate in order to use the formula for each process.
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