Question

hey derivation of cp-cv=R in chemistry ​

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Answer 2

What is Cp-Cv= R?

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6 ANSWERS



Manpreet Kaur, studied at D.C.R.U.S.T , Murthal

Answered Feb 18, 2018

It is Mayer's equation.

Derivation:

ΔU = ΔQ + ΔW ΔU = Cv ΔT (At pressure is constant)

ΔQ = Cp ΔT (At pressure is constant)

ΔW = -P ΔV (Negative since the calculation been complete)

Pv = RT (1 mole of gas)

Because of pressure is constant, R is also constant

Change in V will make change in T

PΔV = R ΔT

Cv ΔT = CpΔT - RΔT

Divided by ΔT

Cv = Cp - R

Cp - Cv = R

Reference: Quora
Hope that helps mate!