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Problem 18 - Olympiad
A gas at 300 K is compressed adiabatically to 1/8 its volume (γ = 1.5). The final temperature is
A. 600 K
B. 900 K
C. 1200 K
D. 1800 K
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Correct: B
T₂ = T₁(V₁/V₂)^(γ-1) = 300·8^0.5 = 300·2.828 ≈ 848 K → 900 K nearest.