Final answer:
Using Boyle's law, the new volume of gas when the pressure doubles from 20 kPa to 40 kPa is found to be 11 liters, indicating an inverse relationship between pressure and volume.
Step-by-step explanation:
To calculate the new volume of a gas when the pressure increases from 20 kPa to 40 kPa, we can use the Boyle's law, which states that the pressure of a gas times its volume is constant when the temperature and quantity of gas are held constant.
Boyle's law formula:
P1V1 = P2V2
Where:
P1 is the initial pressure,
V1 is the initial volume,
P2 is the final pressure,
V2 is the final volume.
Given the initial conditions V1 = 22 L and P1 = 20 kPa, and the final pressure P2 = 40 kPa, we can substitute these values into the formula to find the new volume (V2):
20 kPa x 22 L = 40 kPa x V2
Dividing both sides by 40 kPa to isolate V2:
V2 = (20 kPa x 22 L) / 40 kPa
V2 = 11 L
So, when the pressure increases to 40 kPa, the volume of the gas decreases to 11 liters.