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State first law of thermodynamic on …

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State first law of thermodynamic on its basis establish the relation between two molar specific heat for a gas.
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Tushar Nigam 7 years, 9 months ago

It states that the amount of heat is equal to the sum of change in internal energy and amount of workdone dQ=dU+dW. [dW=PdV] --------------------------------------------------------------------------- Relation between Cp &Cv According to first law of thermodynamics. dQ=dU+dW-----(1) diffenciate w.r.t.time(t) dQ/dt=dU/dt+PdV/dt Cv=dQ/dt v=constant dV=0 Cv=dU/dt----(2) Cp=dQ/dt Cp=dU/dt+PdV/dt-----(3) Equation(3)-(2) Cp-Cv=PdV/dt------(4) PV=Rt [n=1mole] Differentiate w.r.t.time(t) PdV/dt=Rdt/dt=R [Cp-Cv=R]
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