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  4. A gas cylinder containing cooking gas can withstand a pressure of 14.9 atm. The pressure gauge of cylinder indicates 12 atm at 27°C. Due to sudden fire in building the temperature starts rising. The temperature at which the cylinder will explode is

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Q. A gas cylinder containing cooking gas can withstand a pressure of $14.9\, atm$. The pressure gauge of cylinder indicates $12\, atm$ at $27^{\circ}C$. Due to sudden fire in building the temperature starts rising. The temperature at which the cylinder will explode is

States of Matter

Solution:

$\frac{P_{1}}{T_{2}}=\frac{P_{2}}{T_{2}}$
$\frac{12}{300}=\frac{14.9}{T_{2}}$
$T_{2}=372.5 \,K$
$=99.5^{\circ}C$