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CGP EDU Academic Team
Published on: September 12, 2026
An ideal gas at a pressures of 1 atmosphere and temperature of 27 o C is compressed adiabatically until its pressure becomes 8 times the initial pressure, then the final temperature is (γ = 3/2)
Text Solution
Verified by ExpertsThe correct answer is:
D
Using relation $\frac{T_2}{T_1} = \left(\frac{P_2}{P_1}\right)^{\frac{\gamma - 1}{\gamma}} = (8)^{\frac{\frac{3}{2} - 1}{\frac{3}{2}}} = 2.$ .
⇒ ⇒ $T_{2} = 2T_{1}$ ⇒ ⇒ $T_{2} = 2(273 + 27) = 600 K = 327^\circ C$
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