document.write( "Question 1137495: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. A cylinder contains oxygen at a temperature of 310 degrees K and a pressure of 18 atmospheres in a volume of 120 liters. What is the pressure if the volume is decreased to 100 liters and the temperature is increased to 320 degrees K? \n" ); document.write( "

Algebra.Com's Answer #755371 by ikleyn(52832) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "From the condition, you have this general formula\r\n" );
document.write( "\r\n" );
document.write( "    V = ,\r\n" );
document.write( "\r\n" );
document.write( "where \" k \" is  a constant value.\r\n" );
document.write( "    \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the condition, you also have these two expressions for two states of the gas:\r\n" );
document.write( "\r\n" );
document.write( "    120 =     (1)\r\n" );
document.write( "\r\n" );
document.write( "and\r\n" );
document.write( "\r\n" );
document.write( "    100 = ,    (2)\r\n" );
document.write( "\r\n" );
document.write( "where P is the unknown pressure under the question.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide expression (1) by expression (2) (both sides).  You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     = ,   or\r\n" );
document.write( "\r\n" );
document.write( "     1.2 = .\r\n" );
document.write( "\r\n" );
document.write( "which implies\r\n" );
document.write( "\r\n" );
document.write( "     P =  = 22.297   atmospheres.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is the shortest way to solve such problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The other approach with calculating the constant value \" k \" forces you to make unnecessary calculations on the way to the answer.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );