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CGP EDU Academic Team
Published on: September 12, 2026
Air is filled in a motor tube at $27^\circ C$ and at a pressure of 8 atmospheres. The tube suddenly bursts, then temperature of air is
Text Solution
Verified by ExpertsThe correct answer is:
C
$\frac{T_2}{T_1} = \left(\frac{P_2}{P_1}\right)^{\frac{\gamma - 1}{\gamma}} \Rightarrow \frac{T_2}{T_1} = \left(\frac{1}{8}\right)^{\frac{1.5 - 1}{1.5}} = \left(\frac{1}{8}\right)^{\frac{1}{3}} = \frac{1}{2} \Rightarrow T_2 = \frac{T_1}{2} = \frac{300}{2} = 150K.$
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