document.write( "Question 1172685: The pressure of the gas is directly proportional to the temperature and inversely proportional to
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\n" ); document.write( "\n" ); document.write( "A. Write the variation equation.
\n" ); document.write( "B. What will happen to the pressure if the volume is reduced to half and the temperature is
\n" ); document.write( "doubled? \n" ); document.write( "

Algebra.Com's Answer #797783 by Edwin McCravy(20060) $\"\"$ $\"About$

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The pressure of the gas is directly proportional to the temperature and inversely proportional to
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\n" ); document.write( "A. Write the variation equation.
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document.write( "For all proportion problems, start with this:\r\n" );
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document.write( "Varying           \"directly\" or product of \"jointlys\" or 1 if none \r\n" );
document.write( "quantity  = k × ----------------------------------------------------------\r\n" );
document.write( "                inversely variable or product of \"inverselys\" or 1 if none\r\n" );
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document.write( "In this problem the varying quantity is P for pressure. The \"directly\" is T for\r\n" );
document.write( "temperature.  We have one \"inversely\" variable, T for Volume.  We have no\r\n" );
document.write( "\"jointly\" variable. So we have P on the left, T on the top of the fraction and\r\n" );
document.write( "V on the bottom:\r\n" );
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document.write( "-----------------------\r\n" );
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B. What will happen to the pressure if the volume is reduced to half and the
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document.write( "Let's substitute 2V for V in , and  for P and simplify:\r\n" );
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document.write( "We simplify the complicated term \r\n" );
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document.write( "Since  is 4 times , the answer to B is:\r\n" );
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document.write( "\"The pressure will quadruple.\"\r\n" );
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document.write( "Edwin

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