Which one among the following is the correct option for right relationship between C p and C v for one mole…

Which one among the following is the correct option for right relationship between Cp and Cv for one mole of ideal gas?
  1. Cp+CV=R
  2. Cp-Cv=R
  3. Cp=RCV
  4. Cv=RCp

Solution

For one mole of ideal gas

ΔH=ΔU+Δ(PV)

=ΔU+Δ(RT)

=ΔU+RΔT

ΔH=CpΔT,ΔU=CVΔT

CpΔT=CVΔT+RΔT

Cp=CV+R

Cp-CV=R

Asked in: NEET 2021

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