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Thermodynamics question

2021 · Q94
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Thermodynamics question

2021 · Q94

NEETChemistryThermodynamicsMCQ+4 / −1
Which one among the following is the correct option for right relationship between CP and CV for one mole of ideal gas?
  1. A
    CV = RCP
  2. B
    CP + CV = R
  3. C
    CP −-− CV = R
  4. D
    CP = RCV
View written solutionFree

Correct answer: C

At constant volume, qV = CVΔ\DeltaΔT = Δ\DeltaΔU

At constant pressure, qP = CPΔ\DeltaΔT = Δ\DeltaΔH

For a mole of an ideal gas,

Δ\DeltaΔH = Δ\DeltaΔU + Δ\DeltaΔ(PV)

= Δ\DeltaΔU + Δ\DeltaΔ(RT)

= Δ\DeltaΔU + RΔ\DeltaΔT

On putting the values of Δ\DeltaΔH and Δ\DeltaΔU, we have

CPΔ\DeltaΔT = CVΔ\DeltaΔT + RΔ\DeltaΔT

CP = CV + R

CP −-− CV = R

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