document.write( "Question 161607This question is from textbook College Algebra
\n" ); document.write( ": Another Inverse and Joint Variation question.
\n" ); document.write( "Chemistry Gas Laws. The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. Write an equation relating V,T, and P using k as the constant of proportionality. If a cylinder contains oxygen at a temperature of 300 K and a pressure of 15 atmospheres in a volume of 100 liters, what is the constant of proportionality k? If a pistion is lowered into the cylinder, decreasing the volume occupied by the gas to 80 liters and raising the temperature to 310 K, what is the gas pressure. \n" ); document.write( "
Algebra.Com's Answer #119153 by ankor@dixie-net.com(22740)\"\" \"About 
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The volume V of an ideal gas varies directly with the temperature T & inversely
\n" ); document.write( " with the pressure P. Write an equation relating V,T, and P using k as the
\n" ); document.write( " constant of proportionality. If a cylinder contains oxygen at a temperature of
\n" ); document.write( " 300 K and a pressure of 15 atmospheres in a volume of 100 liters, what is the
\n" ); document.write( " constant of proportionality k?
\n" ); document.write( "The equation for this:
\n" ); document.write( "V = \"%28Tk%29%2FP\"
\n" ); document.write( "Where:
\n" ); document.write( "V = 100
\n" ); document.write( "T = 300
\n" ); document.write( "P = 15
\n" ); document.write( ":
\n" ); document.write( "\"%28300k%29%2F15\" = 100
\n" ); document.write( "Multiply both sides by 15, results:
\n" ); document.write( "300k = 15(100)
\n" ); document.write( "k = \"1500%2F300\"
\n" ); document.write( "k = 5
\n" ); document.write( ":
\n" ); document.write( "V = \"%285T%29%2FP\" is the formula
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "If a piston is lowered into the cylinder, decreasing the volume occupied by
\n" ); document.write( " the gas to 80 liters and raising the temperature to 310 K, what is the gas
\n" ); document.write( " pressure
\n" ); document.write( ":
\n" ); document.write( "In the above equation:
\n" ); document.write( "V = 80
\n" ); document.write( "T = 310
\n" ); document.write( "find P
\n" ); document.write( ":
\n" ); document.write( "80 = \"%285%2A310%29%2FP\"
\n" ); document.write( "Multiply both sides by P
\n" ); document.write( "80P = 1550
\n" ); document.write( "P = \"1550%2F80\"
\n" ); document.write( "P = 19.375 atmospheres \n" ); document.write( "
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