A diatomic ideal gas at 27°C is compressed adiabatically to ½ its volume. Find final temperature (γ = 7/5):
A600 K
B395 K
C240 K
D420 K
Answer & Solution
Correct answer: B. 395 K
T₁V₁^(γ-1) = T₂V₂^(γ-1). T₁ = 300 K, V₂ = V₁/2. T₂ = T₁(V₁/V₂)^(γ-1) = 300 × 2^0.4 ≈ 300 × 1.32 ≈ 396 K. Adiabatic compression heats the gas.
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