30. A rigid plastic container holds 1.00 L methane gas at 0.9
atm pressure when the temperature is 22.0°C. How much
more pressure will the gas exert if the temperature is raised
to 44.6°C?

The new pressure exerted by the gas is 0.646 atm

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 new pressure exerted by the gas is 0.646 atm