According to pressure law, at a constant volume, the pressure of a given mass of gas is directly proportional to its temperature in Kelvin scale.
[tex]\frac{P1}{T1} =\frac{P2}{T2}[/tex]
Here, P1 = Initial pressure of the gas = 1.22 atm
T1 = Initial temperature of the gas = 398 K
T2 = Final temperature of the gas = 455 K
P2 = Final pressure of the gas = ?
Therefore,
[tex]P2 = \frac{(P1)(T2)}{T1} = \frac{(1.22)(455)}{398} atm = 1.39 atm = 1.4 atm[/tex]
Therefore, the required pressure of the gas after the change in temperature is 1.4 atm.
