Question

During adiabatic process, the pressure of a gas is proportional to power of three of temperature. Then for gas the value of C_P/C_V will be:

(a) \(\frac{4}{3}\)

(b) 2

(c) \(\frac{5}{2}\)

(d) \(\frac{3}{2}\)

Answer 1

Correct option is : (d) \(\frac{3}{2}\)

(d) According to the question,

p ∝ T³

but pV = nRT

p ∝ T³

∴ p ∝ (pV)³

⇒ p² V³ = constant

pV^3/2 = constant

∵ pV^γ = constant

∴ γ = 3/2