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Question

A cylinder containing cooking gas can withstand a pressure of 15 atm. The pressure gauge of the cylinder indicates 12 atm at 27C. Due to a sudden fire in the building, the temperature starts rising. At what temperature will the cylinder explode?


A

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B

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C

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D

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Solution

The correct option is C


Given, P1 = 15 atm, T1 = ?

P2 = 12 atm, T2 = 300 K (273+27)

Since the volume of the cylinder remains constant,
P1T1=P2T2

Therefore,15T1=12300

T1 = 375 K.

i.e., the cylinder will explode above 375 K or 102C.


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