SOLUTION: The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 240 cm3 under a pressure of 23 kg/cm2 What will be its volume under a pressure of 30 kg/cm2?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 240 cm3 under a pressure of 23 kg/cm2 What will be its volume under a pressure of 30 kg/cm2?       Log On


   

Question 111472: The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 240 cm3 under a pressure of 23 kg/cm2 What will be its volume under a pressure of 30 kg/cm2?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume V of a gas varies inversely as the pressure P on it.
V=k%2FP where k is a constant.
You can find the constant or re-write the equation another way.
PV=k where the product of pressure and volume equals the constant.
And then,
P%5B1%5DV%5B1%5D=P%5B2%5DV%5B2%5D
Substituting your values,
23%2A240=30%2AV%5B2%5D
V%5B2%5D=23%2A240%2F30
V%5B2%5D=184
The volume is then 184 cc.