SOLUTION: Please help me with this question. 1. Gas laws. 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

Algebra ->  Linear-equations -> SOLUTION: Please help me with this question. 1. Gas laws. 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       Log On


   



Question 177137: Please help me with this question.
1. Gas laws. 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?

Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Gas laws. The volume of a gas is inversely proportional to the pressure on the gas.
v = k/p
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If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter,
Solve for "k":
6 = k/8
k = 48
Therefore equation: v = 48/p
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then what is the volume when the pressure is 12 kilograms per square centimeter?
v = 48/12
v = 4 cubic centimeters
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Cheers,
San H.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of variation:
V+=+k%2FP where: P = pressure, V = volume, and k is the constant of variation. Substitute the given V = 6 and P = 8 to find the value of k.
6+=+k%2F8 so...
k+=+48 Now the equation of variation is:
V+=+48%2FP Now substitute P = 12 to find the new volume (V).
V+=+48%2F12
V+=+4Cubic centimeters