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Question

A gas cylinder containing cooking gas can withstand a pressure 14.9 atmosphere. The pressure guage of the cylinder indicates 12 atmosphere at 27C. Due to a sudden fire in the building, the temperature starts rising. Find the temperature ( K) when the cylinder explodes?

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Solution

The cylinder can withstand a maximum pressure of 14.9 atm. So at this pressure, the cylinder explodes and this can be taken as the final pressure.
Given information:
Initial pressure of the gas P1=12 atm
Initial temperature of the gas T1=(27+273)=300 K
Final pressure of the gas P2=14.9 atm
Final temperature of the gas T2=?
From Gay lussac's law, P1T1=P2T2 at constant volume.

T2=P2T1/P1=14.9×30012=372.5 K

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