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  4. A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27 ° C. At 03:00 pm, when the temperature is 45° C, the pressure in the tank will be atm. [nearest integer]

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Q. A rigid nitrogen tank stored inside a laboratory has a pressure of $30$ atm at $06:00$ am when the temperature is $27{ }^{\circ} C$. At $03:00$ pm, when the temperature is $45^{\circ} C$, the pressure in the tank will be ____atm. [nearest integer]

JEE MainJEE Main 2022States of Matter

Solution:

$\frac{ P _{1}}{ T _{1}}=\frac{ P _{2}}{ T _{2}}$
$\frac{30}{300}=\frac{ P _{2}}{318}$
$P _{2}=\frac{30}{300} \times 318$
$=\frac{1}{10} \times 318$
$=32$