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NEET2021ChemistryThermodynamics (C)Actual

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

Options

  1. AC p + C V = R
  2. BC p - C v = R
  3. CC p = RC V
  4. DC v = RC p

Correct answer

B. C p - C v = R

Step-by-step solution

For one mole of ideal gas ΔH = ΔU + Δ ( PV ) = ΔU + Δ ( RT ) = ΔU + RΔT ΔH = C p ΔT , ΔU = C V ΔT C p ΔT = C V ΔT + RΔT C p = C V + R C p - C V = R

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