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?

Answer 1

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

Answer 2

PROOF: 2/LOG A BASE 9 - 1/ LOG A BASE 5 = 3/ LOG A BASE 3

Answer 3

thanks but how did you get 1000 by dividing k by 500?

Answer 4

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

Answer 5

thank you so much! i really appreciate it!

Answer 6

The pressure P of a compressed gas is inversely proportional to the volume V. If there is a pressure of 25 pounds per square inch when the volume of gas is 400 cubic inches, write the equation that can be used to find the pressure when the gas is compressed to 200 cubic inches?

Answer 7

W varies inversely as the square of t. If W = 12 when t = 2, what equation can be used to solve for t when W = 27.

Answer 8

2+2