document.write( "Question 1057150: The volume occupied by a fixed weight of gas (held at a constant temperature) varies inversely as the pressure placed on it. If a gas occupies a volume of 40 cubic meters under a pressure of 7 atmospheres, find the volume that the gas occupies when the pressure is changed to 6 atmospheres. \n" ); document.write( "
Algebra.Com's Answer #672222 by ikleyn(52790)\"\" \"About 
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\n" ); document.write( "The volume occupied by a fixed weight of gas (held at a constant temperature) varies inversely as the pressure placed on it.
\n" ); document.write( "If a gas occupies a volume of 40 cubic meters under a pressure of 7 atmospheres, find the volume that the gas
\n" ); document.write( "occupies when the pressure is changed to 6 atmospheres.
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document.write( "The condition says that the ratio of volumes is inversely proportional to the ratio of pressures.\r\n" );
document.write( "In math terms, it means that\r\n" );
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document.write( "\"V%5B1%5D%2FV%5B2%5D\" = \"P%5B2%5D%2FP%5B1%5D\".\r\n" );
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document.write( "Substitute the given values \"V%5B1%5D\" = 40, \"P%5B1%5D\" = 7, \"P%5B2%5D\" = 6:\r\n" );
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document.write( "\"40%2FV%5B2%5D\" = \"6%2F7\"\r\n" );
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document.write( "and find \"v%5B2%5D\" from this proportion:\r\n" );
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document.write( "\"V%5B2%5D\" = \"%2840%2A7%29%2F6\".\r\n" );
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document.write( "You calculate \"V%5B2%5D\".\r\n" );
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