SOLUTION: For a constant temperature, the pressure (P) of a gas varies inversely as the volume (V). If the pressure is 25 psi when the volume is 400 f, find the pressure when the volume is

Algebra ->  Rate-of-work-word-problems -> SOLUTION: For a constant temperature, the pressure (P) of a gas varies inversely as the volume (V). If the pressure is 25 psi when the volume is 400 f, find the pressure when the volume is       Log On


   

Question 1198768: For a constant temperature, the pressure (P) of a gas varies inversely as the volume (V). If
the pressure is 25 psi when the volume is 400 f, find the pressure when the volume is 150
fB.
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
For a constant temperature, the pressure (P) of a gas varies inversely as the volume (V). If
the pressure is 25 psi when the volume is 400 f, find the pressure when the volume is 150
--------------------------
P = k/V --- k is a constant
25 = k/400
k = 10000
------
P = k/150 = 10000/150
P = 200/3 psi

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The volume changes by a factor of 150/400 = 3/8. Since the variation is inverse, the pressure changes by a factor of 8/3.

ANSWER: 25*(8/3) = 200/3