document.write( "Question 53522: Water temp. coming into the house is 60 degrees f, some of the water goes into the hot water heater, which reaches 120 degrees f, you fill a bath tub with 22 gallons of water with a temp. of 80 degrees f. What is the volume of cold water and the volume of hot water. \n" ); document.write( "
Algebra.Com's Answer #35760 by stanbon(75887)\"\" \"About 
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Water temp. coming into the house is 60 degrees f, some of the water goes into the hot water heater, which reaches 120 degrees f, you fill a bath tub with 22 gallons of water with a temp. of 80 degrees f. What is the volume of cold water and the volume of hot water
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\n" ); document.write( "There is alot of assuming here regarding thermodynamics but here goes.
\n" ); document.write( "Let the amount of heated water be \"x\" ; its heat content is 120x
\n" ); document.write( "The amount of unheated water is \"22-x\" ; its heat content is 60(22-x)=1320-60x
\n" ); document.write( "The amount of mixed water is 22 gallons ; its heat content is 80(22)=1760
\n" ); document.write( "EQUATION:
\n" ); document.write( "heat + heat = heat
\n" ); document.write( "120x + 1320-60x = 1760
\n" ); document.write( "60x == 440
\n" ); document.write( "x=7 1/3 gallons of hot water
\n" ); document.write( "22-x= 14 2/3 gallons of unheated water
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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