For a sample of perfect gas when its pressure is changed isothermally from pi to pf, the entropy change is given by
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For measurable change between two states i and f ∆S =∫ifdqTAs the temperature is constant, the above equation becomes:∆S =1T∫ifdqrev =qrevTWe know thatqrev =-wrev =nRTlnVfVisubstituting the values we get:∆S =nRlnVfViWe know that for any two states, PiVi =PfVfso, VfVi=PiPf∆S =nRlnPiPf
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For measurable change between two states i and f ∆S =∫ifdqTAs the temperature is constant, the above equation becomes:∆S =1T∫ifdqrev =qrevTWe know thatqrev =-wrev =nRTlnVfVisubstituting the values we get:∆S =nRlnVfViWe know that for any two states, PiVi =PfVfso, VfVi=PiPf∆S =nRlnPiPf
Hope this information will clear your doubts regarding the topic. If you have any other doubts please ask here on the forum and our experts will try to solve them as soon as possible.
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