document.write( "Question 1182893: A piston-cylinder of gas with a pressure of 45 psi is compressed from 25 gal to 20 gal at the same time it is heated from a temperature of 300 K to 360 K. What is the new pressure inside the cylinder \n" ); document.write( "
Algebra.Com's Answer #813001 by ikleyn(52776)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A piston-cylinder of gas with a pressure of 45 psi is compressed from 25 gal to 20 gal.
\n" ); document.write( "At the same time it is heated from a temperature of 300 K to 360 K. What is the new pressure inside the cylinder ?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Use the ideal gas equation  pV = nRT.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute the given data for two scenarious\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    45*25 = nR*300      (1)\r\n" );
document.write( "\r\n" );
document.write( "     p*20 = nR*360      (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide equation (1) by equation (2)  (side by side).  You will get then the proportion\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"%2845%2A25%29%2F%28p%2A20%29\" = \"360%2F300\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the proportion,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    p = \"%2845%2A25%2A300%29%2F%2820%2A360%29\" = 46.875  psi.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The final pressure is  46.875 psi.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            On ideal gas equation, see this Wikipedia article\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Ideal_gas_law\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Ideal_gas_law\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );