hey derivation of cp-cv=R in chemistry
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What is Cp-Cv= R?
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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!
Answer
1617
Follow
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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!
thanks
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