What is this formula called: #P_1V_1 = P_2V_2#?
For a given quantity of gas at a given temperature,
This is the formula of Boyle's Law.
Boyle's law states that for a fixed mass of an ideal gas, held at a constant temperature, the volume of the gas is inversely related to the pressure applied to it.
Which tell us that if
To sort out this inverse relationship we can use an example with the units Bole used. Pressure was measured in inches of mercury:
Volume was measured in cubic centimeters:
By doubling the pressure we have cut the volume of the gas by one half. Using the same formula you can calculate the opposite effect of cutting the pressure in half to double the volume.
It may be more clear if you write the formula in another way:
This shows as the pressure
As the pressure