A sample of gas has a pressure of 245 kPa and a volume of 500 mL. Assuming constant temperature, what will the volume be when the pressure is 325 kPa?

1 Answer
May 10, 2018

#V_2# = ~376.9 mL

Explanation:

Boyle's Law

#P_1##V_1# = #P_2##V_2# , where #P# is the pressure and #V# is the volume. Note that this is an inversely proportional relationship. If the pressure increases, the volume decreases. If the pressure decreases, the volume increases.

Let's plug-in our data. Remove the units for now.

#(245 * 500)# = #(325 * V_2)#

First, multiply 245 by 500. Then, divide by 325 to isolate for #V_2#.

245 * 500 = 122,500

#122500/325# = 376.9230769 mL

Source and for more info:
https://en.wikipedia.org/wiki/Boyle%27s_law