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A diatomic ideal gas (gamma = 7/5) initially at 300 K is compressed…
Question
A diatomic ideal gas (gamma = 7/5) initially at 300 K is compressed adiabatically until its volume becomes one-half of the initial volume. Find the final temperature in kelvin.
✓ Verified answer: 395.8524checked by our engine — not a guess
Step-by-step solution
Adiabatic: T*V^(gamma-1) = constant, so T2 = T1*(V1/V2)^(gamma-1).
T2 = 300*(2)^(0.4) = 300*1.31951 = 395.8524 K.
Final answer395.8524
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