Answer: The temperature of the heated gas is 357 K
Explanation:
To calculate the final temperature 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=8.53atm\\T_1=293K\\P_2=10.4atm\\T_2=?[/tex]
Putting values in above equation, we get:
[tex]\frac{8.53}{293K}=\frac{10.4}{T_2}\\\\T_2=357K[/tex]
Hence, the temperature of the heated gas is 357 K
