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The gas inside a balloon has a pressure of 8 atmosphere at 27°C. It suddenly bursts. If for the gas $\frac{C_{p}}{C_{v}} = 1 .5$ ,find the resulting temperature.

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-37° C

-123° C

150° C

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detailed solution

Correct option is C

The expansion process is adiabatic.∴T2T1=P2P1γ−1γ⇒T2300=181.5−11.5=181/3=1/2T2=150K∴t2=(150−273)∘C=−123∘C.

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The gas inside a balloon has a pressure of 8 atmosphere at 27°C. It suddenly bursts. If for the gas CpCv=1.5,find the resulting temperature.

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The gas inside a balloon has a pressure of 8 atmosphere at 27°C. It suddenly bursts. If for the gas $\frac{C_{p}}{C_{v}} = 1 .5$ ,find the resulting temperature.