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Question

Question: A gas cylinder containing cooking gas can withstand a pressure of 14.9 atmosphere. The pressure guaz...

A gas cylinder containing cooking gas can withstand a pressure of 14.9 atmosphere. The pressure guaze of cylinder indicates 12 atmosphere at 270C. Due to sudden fire in the building temperature starts rising. The temperature at which cylinder will explode is :

A

372.5 K

B

99.5 0C

C

199 0C

D

472.5 k

Answer

372.5 K

Explanation

Solution

Suppose the cylinder will burst at T2K

T2=P2T1P1(V1=V2)=14.9×30012=372.5KT_{2} = \frac{P_{2}T_{1}}{P_{1}}\left( V_{1} = V_{2} \right) = \frac{14.9 \times 300}{12} = 372.5K