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AIPMT MAINS2010Physics-Thermodynamics

AIPMT MAINS 2010 Physics Adiabatic Processes MCQ Question

Type: MCQ-numerical-Medium-Class 11

A monoatomic gas at pressure P₁ and V₁ is compressed adiabatically to 1/8ᵗʰ its original volume. What is the final pressure of the gas?

A

64 P₁

B

P₁

C

16 P₁

D

32 P₁

Correct Answer

Option D

Detailed Explanation

For an adiabatic process, P₁V₁^γ = P₂V₂^γ. Given V₂ = V₁/8 and γ = 5/3 for a monoatomic gas, P₂ = P₁(8)^(5/3) = 32P₁.

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