Question

A steel container filled with H₂ gas is at a pressure of 6.5 atm and a temperature of 22°C. If the container is placed near a furnace and is heated to a temperature of 50°C, what would be the new pressure in the container?

Answer 1

Answer: The new pressure is 7.1 atm

Step-by-step 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,

`(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=6.5atm\\T_1=22^0C=(22+273)K=295K\\P_2=?\\T_2=50^0C=(50+273)K=323K`

Putting values in above equation, we get:

`(6.5)/(295)=(P_2)/(323)\\\\P_2=7.1`

Hence, the new pressure is 7.1 atm