document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=378673>Question 378673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I have four gallons of 50 degree farenheit water and I need to add one more gallon of water what does the temperature of the last gallon need to be if the whole mixture ends up at 70 degrees.\r<BR>\n" );
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document.write( "This is used to mix up home brewed beer where the ideal temperature is 70 to add the yeast. The last gallon actually has a sugar solution.\r<BR>\n" );
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document.write( "The entire specific gravity of the mix ends up at 1035 just in case that needs to be figured in.\r<BR>\n" );
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document.write( "My name is Gerard and I am not smarter than a fifth grader. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268962 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Keep in mind that since we're measuring heat and heat transfer, temperature needs to be measured in Kelvins as we can accurately measure the amount of heat and kinetic energy within the two mixtures.\r<BR>\n" );
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document.write( "50 F = 283 Kelvins (rounded to the nearest Kelvin)<BR>\n" );
document.write( "70 F = 294 Kelvins\r<BR>\n" );
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document.write( "(283 Kelvins)*(4 gallons) + (x Kelvins)*(1 gallon) = (294 Kelvins)*(5 gallons)\r<BR>\n" );
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document.write( "As the units are consistent (Kelvins*gallons), we can solve this as a normal algebra problem and obtain x = 338 Kelvins, i.e. the temperature of the fifth gallon is 338 Kelvins, or 149 degrees Fahrenheit.\r<BR>\n" );
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document.write( "However, I solved the problem using the fifth gallon being water. If you're using a sugar mixture, it might have a different heat capacity but I anticipate no significant difference in heat capacity as the sugar is dissolved. </SPAN>\n" );
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