Prove that Cp-Cv = R

1.	Prove that Cp-Cv = R
Answer» 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 Like my answer if you find it useful!

Answer»

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

Like my answer if you find it useful!

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