Answer: New absolute pressure is [tex]1.07\times p_1[/tex]
Explanation:
Gay-Lussac's Law:
This law states that pressure is directly proportional to the temperature of the gas at constant volume and number of moles. As the gas is enclosed in a rigid metal container the volume of the gas is fixed.
[tex]P\propto T[/tex] (At constant volume and number of moles)
[tex] \frac{P_1}{T_1}=\frac{P_2}{T_2} [/tex]
Given:
[tex] P_1 =p_1[/tex]
[tex]T_1=20^0C=(20+273)=293 K[/tex]
[tex] P_2=p_2[/tex]
[tex] T_2=40^0C=40+273=313 K[/tex]
[tex] \frac{p_1}{293}=\frac{P_2}{313} [/tex]
[tex]p_2=1.07\times p_1[/tex]