A gas is confined to a steel tank with a fixed volume . At 293 K, the gas exerts a pressure of 8.53 atm. After heating the tank , the pressure of the gas increases to 10.4 atm. What is the temperature of the heated gas?

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,

where,

are the initial pressure and temperature of the gas.

are the final pressure and temperature of the gas.

We are given:

Putting values in above equation, we get:

Hence, the temperature of the heated gas is 357 K