SOLUTION: The pressure P of a perfect gas varies inversely to the volume V. The pressure of a gas in a 4-L container under specific conditions is 100 atm. What is the pressure of the gas in

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Question 1179570: The pressure P of a perfect gas varies inversely to the volume V. The pressure of a gas in a 4-L container under specific conditions is 100 atm. What is the pressure of the gas in a 45-L container under the same conditions? Use the equation P=K/V
Answer by greenestamps(13203) About Me  (Show Source):
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One very formal method: Use the given parameters to determine the value of the constant K and then use that constant with the one new parameter to determine the other new parameter.

P=K/V
100=K/4
400=K

P=K/V
P=400/45 = 80/9

For inverse variation, I think a problem is more easily solved by rewriting the formula as

PV=K

In that form, the relation says that the product of the pressure and the volume is a constant. So the path to the answer to the problem is shorter:

100(4)=P(45)
P=400/45 = 80/9