STANDARDPhysics-Thermodynamics
STANDARD Physics Adiabatic Processes MCQ Question
Type: MCQ-numerical-Hard-Class 11
A mass of diatomic gas (γ = 1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27°C to 927°C. The pressure of the gas in the final state is
A
8 atm
B
28 atm
C
68.7 atm
D
256 atm
Correct Answer
Option D
Detailed Explanation
For an adiabatic process, (T₁/T₂) = (P₂/P₁)^(γ-1)/γ. Substituting T₁ = 300 K, T₂ = 1200 K, P₁ = 2 atm, and γ = 1.4, we find P₂ ≈ 256 atm.
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