If #14/3 L# of a gas at room temperature exerts a pressure of #45 kPa# on its container, what pressure will the gas exert if the container's volume changes to #13/7 L#?

1 Answer
Aug 22, 2016

Answer:

#1470/13 kPa#

Explanation:

Let's begin by identifying our known and unknown variables:

#color(red)("Knowns:")#
- Initial Volume
- Final Volume
- Initial Pressure

#color(gold)("Unknowns:")#
- Final Pressure

We can obtain the answer using Boyle's Law:
www.physbot.co.uk

The letters i and f represent the initial and final conditions, respectively.

All we have to do is rearrange the equation to solve for the final pressure.

We do this by dividing both sides by #V_f# in order to get #P_f# by itself like this:
#P_f=(P_ixxV_i)/V_f#

Now all we do is plug in the values and we're done!

#P_f= (45\kPa xx 14/3\ cancel"L")/(13/7\cancel"L")# = #1470/13kPa#