Question

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?

Answer 1

Answer: The temperature of the heated gas is 357 K

Step-by-step 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,

`(P_1)/(T_1)=(P_2)/(T_2)`

where,

`P_1\text{ and }T_1` are the initial pressure and temperature of the gas.

`P_2\text{ and }T_2` are the final pressure and temperature of the gas.

We are given:

`P_1=8.53atm\\T_1=293K\\P_2=10.4atm\\T_2=?`

Putting values in above equation, we get:

`(8.53)/(293K)=(10.4)/(T_2)\\\\T_2=357K`

Hence, the temperature of the heated gas is 357 K