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Physics Question

The value of specific heat for copper is 390 J/kg⋅C°, for aluminum is 900 J/kg⋅C°, and for water is 4186 J/kg⋅C°.
(a) What will be the equilibrium temperature in degrees Celsius when a 265g block of copper at 235°C is placed in a 145g aluminum calorimeter cup containing 875g of water at 12.0°C ? 

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Jim S. | Physics (and math) are fun, reallyPhysics (and math) are fun, really
4.7 4.7 (197 lesson ratings) (197)
      Let Te be the equilibrium temperature of all three bodies
So the energy given up by the hot copper block (.265*390*(235-Te)) has to be equal to the energy gained by the cup and the water which is (.145*900*(Te-12) +.875*4186*(Te-12)) if energy is to be conserved.
Doing all the arithmetic I get 103.35*(235-Te)=3793.25*(Te-12) from this if you solve for Te I got Te=17.91 deg C.
You can see from the equation above that the water absorbs most of the heat.