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Reversible Isothermal Process Expansion In Thermodynamics

 When an Ideal gas of mass m undergoes a reversible isothermal process from state 1 to state 2, the work   done is given by , 

Integral dW  = Integral (pdV) 

or W = Integral (mRT / V) dV = mRT  ln ( V2 / V1 ).

        = mRT ln ( p1 / p2 ) 

The heat transfer involved in the process

     Q = U2 - U1 +W 1-2 

         =  mRT ln ( V2 /  V1 ) 

         =  T (S2 -S1)







      

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