Posted by **Roger** on Wednesday, January 7, 2009 at 8:51pm.

According to Boyle's law, the pressure p of a compressed gas is inversely proportional to the volume, v. If a pressure of 20 pounds per square inch exists when the volume of the gas is 500 cubic inches, what is the pressure when the gas is compressed to 400 cubic inches?

- MATH PLEASE HELP! -
**Reiny**, Wednesday, January 7, 2009 at 9:25pm
P = k/V

when P=20, V=500, so

20 = k/500

k = 10000

then P = 10000/V

if V - 400,

P = 10000/400 = 25

don't forget the units

- MATH PLEASE HELP! -
**MAYA**, Wednesday, January 7, 2009 at 9:33pm
PROOF: 2/LOG A BASE 9 - 1/ LOG A BASE 5 = 3/ LOG A BASE 3

- MATH PLEASE HELP! -
**Roger**, Wednesday, January 7, 2009 at 9:37pm
thanks but how did you get 1000 by dividing k by 500?

- MATH PLEASE HELP! -
**Reiny**, Wednesday, January 7, 2009 at 9:40pm
I had 20 = k/500

now multiply both sides by 500

20(500) = (k/500)(500

10000=k

the 500's canceled on the right side

- MATH PLEASE HELP! -
**Roger**, Wednesday, January 7, 2009 at 10:01pm
thank you so much! i really appreciate it!

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