The molar specific heats of an ideal gas at constant pressure and volume are denoted

The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv, respectively. If γ = Cp/Cv and R is the universal gas constant, then Cv is equal to

Options

(a) R / ( γ – 1)
(b) (γ – 1) / R
(c) γ R
(d) 1 + γ / 1 – γ

Correct Answer:

R / ( γ – 1)

Explanation:

Cₚ – Cᵥ = R ⇒ Cₚ = Cᵥ + R
γ = Cₚ / Cᵥ = Cᵥ + R / Cᵥ = Cᵥ / Cᵥ + R / Cᵥ
⇒ γ = 1 + R / Cᵥ ⇒ R / Cᵥ = γ – 1
⇒ Cᵥ = R / γ – 1

admin:

Related Questions

  1. Fusion reaction takes place at high temperature because
  2. A battery of emf 10 V and internal resistance 3 ohm is connected to a resistor.
  3. A battery having e.m.f. 4 volt and internal resistance 0.5 Ω is connected
  4. An electron moving in a circular orbit of radius r makes n rotations per second.
  5. A coil of 40 henry inductance is connected in series with a resistance of 8 ohm