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NEET 2021
Exam
NEET
Year
2021
Subject
Chemistry
Chapter
Thermodynamics (C)

NEET 2021 · Chemistry · Thermodynamics (C)

Which one among the following is the correct option for right...

Which one among the following is the correct option for right relationship between Cp{C}_{p} and Cv{C}_{v} for one mole of ideal gas?

Options

  1. ACp+CV=R{C}_{p} + {C}_{V} = R
  2. BCp−Cv=R{C}_{p} - {C}_{v} = R
  3. CCp=RCV{C}_{p} = {RC}_{V}
  4. DCv=RCp{C}_{v} = {RC}_{p}

Correct answer

B. Cp−Cv=R{C}_{p} - {C}_{v} = R

Step-by-step solution

For one mole of ideal gas

ΔH=ΔU+Δ(PV)\Delta H = \Delta U + \Delta ( PV )

=ΔU+Δ(RT)= \Delta U + \Delta ( RT )

=ΔU+RΔT= \Delta U + R \Delta T

ΔH=CpΔT,ΔU=CVΔT\Delta H = {C}_{p}\Delta T, \Delta U = {C}_{V}\Delta T

CpΔT=CVΔT+RΔT{C}_{p}\Delta T = {C}_{V}\Delta T + R \Delta T

Cp=CV+R{C}_{p} = {C}_{V} + R

Cp−CV=R{C}_{p} - {C}_{V} = R

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