SOLUTION: The volume of a gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, t

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The volume of a gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, t      Log On

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Question 148864: The volume of a gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, then what is the volume when the pressure is 12 kilograms per square centimeter?
Answer by nerdybill(6951) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, then what is the volume when the pressure is 12 kilograms per square centimeter?
.
Let k = constant
then we would have:
"vol of gas" = k/"pressure of gas"
.
6 = k/8
solving for k we get:
k = 48
.
Now, to solve our problem:
"vol of gas" = 48/12
"vol of gas" = 4 cubic centimeters