My Math Forum Thermal Equilibrium

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 June 13th, 2011, 04:11 AM #1 Senior Member   Joined: Apr 2010 Posts: 128 Thanks: 0 Thermal Equilibrium I need someone to show me steps in solving this...(should not be too hard for post graduate) *note : my syllabus only reach thermal equilibrium in 2 objects only (just my interest to know how) Given there are 3 beakers labeled A,B,C containing water with different mass and different temperature where beaker A : 500g of water with 30°C beaker B : 300g of water with 50°C beaker C : 200g of water with 20°C and specific heat capacity of water i found in my textbook is 4200. What is the temperature when all water from three beakers above is pour into one beaker? ( assume no heat loss to surroundings )
 June 13th, 2011, 04:52 AM #2 Member   Joined: May 2011 Posts: 90 Thanks: 1 Re: Thermal Equilibrium Neglecting the heat generated by turbulence and viscosity by the "pouring in" of water with kinetic energy you can assume that the " heat content" of the water (above that at 20 deg C) is Mass of water times temperature - 20 In other words you are assuming specific heat does NOT vary with temperature. So add up the "heat content" total and the total mass and use your common sense.
 June 13th, 2011, 03:10 PM #3 Senior Member   Joined: Apr 2010 Posts: 128 Thanks: 0 Re: Thermal Equilibrium So you mean like this? 500g+300g+200g = 1kg 0.5kg(4200)(30) + 0.3kg(4200)(50) + 0.2kg(4200)(16800) = 142800 So....what is water temperature in °C ? When i assume no heat loss to surroundings i just means the heat equalize out among water. Gin , mind show me a little steps ? Sorry for being lack of physics sense , i like how physics turn around in calculations but i myself not really master physics.
June 15th, 2011, 07:55 AM   #4
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Re: Thermal Equilibrium

Quote:
 Originally Posted by rnck So you mean like this? 500g+300g+200g = 1kg 0.5kg(4200)(30) + 0.3kg(4200)(50) + 0.2kg(4200)(16800) = 142800 So....what is water temperature in °C ? When i assume no heat loss to surroundings i just means the heat equalize out among water. Gin , mind show me a little steps ? Sorry for being lack of physics sense , i like how physics turn around in calculations but i myself not really master physics.
"Heat" = 500g times 30 gram.degrees + 300 times 50 gram.degrees + 200 times 20 gram.degrees
divide by total grams=1000 g, so temp above 0 C is 15 +15 + 4

 Tags equilibrium, thermal

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