SOLUTION: The pressure (P) of a gas varies inversely as the volume (V). What will happen to the volume if the pressure is doubled and all other things remain constant?

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Question 1173943: The pressure (P) of a gas varies inversely as the volume (V). What will happen to the volume if the pressure is doubled and all other things remain constant?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
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(P) of a gas varies inversely as the volume (V).
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P=k%2FV, and k is a constant.


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if the pressure is doubled and all other things remain constant?
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k%2FV=2P
V%2Fk=1%2F%282P%29
V=k%2F%282P%29----------------Volume would be half as much.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The formal definition of inverse variation tells us that the pressure and volume are related by the function

P+=+k%2FV

However, computations involving inverse variation are nearly always easier if you think of the relation as

PV+=+k

That is, the product of pressure and volume is constant.

That makes this problem trivial. The constant product means that if the pressure is doubled, the volume has to be cut in half.

ANSWER: The volume will be cut in half.