Answer: The pressure that the gas exert at high temperature is 9.63 atm
Explanation:
To calculate the final pressure of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.
Mathematically,
[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]
where,
[tex]P_1\text{ and }T_1[/tex] are the initial pressure and temperature of the gas.
[tex]P_2\text{ and }T_2[/tex] are the final pressure and temperature of the gas.
We are given:
[tex]P_1=5.0atm\\T_1=76^oC=[76+273]K=349K\\P_2=?\\T_2=399^oC=[273+399]K=672K[/tex]
Putting values in above equation, we get:
[tex]\frac{5.0atm}{349K}=\frac{P_2}{672K}\\\\P_2=9.63atm[/tex]
Hence, the pressure that the gas exert at high temperature is 9.63 atm
