Answer: The pressure of the gas changes by a factor of 2
Explanation:
An isothermal expansion is a process in which a gas expands (or contracts), keeping a constant temperature.
On the other hand, the expression for an Ideal Gas is:
(1)
Where:
is the pressure of the gas
is the volume of the gas
the number of moles of gas
is the gas constant
is the absolute temperature of the gas
Now, if the temperature keeps constant, we can use Boyle's law, which relates the volume and pressure of a certain amount of gas maintained at a constant temperature:
(2)
Where are the initial pressure and initial volume of the gas and are the final pressure and final volume of the gas.
If:
(3)
(4) where
Then:
(5)
(6)
(7)
Finally:
(8) This means the pressure of the gas changes by a factor of 2.