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Question

A gas cylinder containing cooking gas can withstand a pressure of 14.9 atmospheres. The pressure gauge of the cylinder indicates that the pressure at 27C is 12 atmospheres. Due to sudden fire in the building, the temperature starts rising. The temperature at which the cylinder explodes is

A
200°C
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B
99.5°C
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C
67.3°C
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D
123.8°C
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Solution

The correct option is

D

99.5°C

Since the gas is confirmed in a cylinder, its volume will remain constant.

From the given data,

p1=12bar , P2=14.9bar , T1=27+273=300K

P1T1=P2T2
T2=14.9×30012=372.5K=99.5C


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