document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #799276 by greenestamps(13206)\"\" \"About 
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\n" ); document.write( "The formal definition of inverse variation tells us that the pressure and volume are related by the function

\n" ); document.write( "\"P+=+k%2FV\"

\n" ); document.write( "However, computations involving inverse variation are nearly always easier if you think of the relation as

\n" ); document.write( "\"PV+=+k\"

\n" ); document.write( "That is, the product of pressure and volume is constant.

\n" ); document.write( "That makes this problem trivial. The constant product means that if the pressure is doubled, the volume has to be cut in half.

\n" ); document.write( "ANSWER: The volume will be cut in half.

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