Question

A monoatomic gas at pressure P and volume V is suddenly compressed to one eights of its original volume. The final pressure at constant entropy will be ______.

पर्याय

• P

• 8P

• 32 P

• 64 P

Answer 1

A monoatomic gas at pressure P and volume V is suddenly compressed to one eights of its original volume. The final pressure at constant entropy will be 32 P.

Explanation:

For monoatomic gas, γ = `5/3`

For an adiabatic process, PV^γ = constant

For an adiabatic process, PV^γ = P'(V')^γ

⇒ PV^5/3 = P'`("V"/8)^(5//3)`       `("Given", "V'" = "V"/8 )`

⇒ P' = (8)^5/3

P = (2)⁵

P = 32 P