document.write( "Question 673759: The volume of gas varies directly as its temperature and inversely as its pressure. At a temperature of 100 kelvin and a pressure of 15 kilograms per square meter, the gas occupies a volume of 20 cubic meters. Find the volume at a temperature of 150 kelvin and a pressure of 20 kilograms per square meter. \n" ); document.write( "
Algebra.Com's Answer #418852 by Theo(13342)\"\" \"About 
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direct proportion is z = kx
\n" ); document.write( "inverse proportion is z = k/y
\n" ); document.write( "direct and inverse proportion together is z = kx/y
\n" ); document.write( "z = volume of gas in cubic meters
\n" ); document.write( "x = temperature in kelvin
\n" ); document.write( "y = pressure in kilograms per square meter.
\n" ); document.write( "when volume of gas is 20 cubic meters and temperature is 100 kelvin and pressure is 15 kilograms per square meter, equation of z = kx/y becomes 20 = 100k/15.
\n" ); document.write( "solve for k to get k = 20*15/100 which results in k = 3.
\n" ); document.write( "now that you know k, you can use that to solve the problem.
\n" ); document.write( "when the temperature is 150 kelvin and the pressure is 20 kilograms per square and k = 3, the equation of z = kx/y becomes z = 3*150/20 which becomes z = 22.5 cubic meters.
\n" ); document.write( "that's your answer.\r
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