Question

The volume of a sample of a fixed amount of gas is decreased from 2.0 L to 1.0 L. The temperature of the gas in kelvin is then doubled. What is the final pressure of the gas in terms of the initial pressure?

a) The same as the initial pressure
b) Twice the initial pressure
c) Four times the initial pressure
d) Half the initial pressure

Answer 1

The final pressure of the gas will be twice the initial pressure.

Step-by-step explanation:

The volume of a gas is inversely proportional to its pressure when the temperature is constant, according to Boyle's law. In this case, the volume is halved from 2.0 L to 1.0 L, so the pressure will double.

When the temperature of a gas is doubled while keeping the amount and volume constant, the pressure will also double, according to Gay-Lussac's law. Therefore, the final pressure of the gas will be twice the initial pressure.

Therefore, the correct answer is b) Twice the initial pressure.