Physics
posted by Claire .
A solid iron cylinder of mass 0.2 kg is quickly transferred from inside boiling water in a beaker at 100 C into 90g of water at 15 C contained in a calorimeter of mass 150g and specific heat capacity equal to 800 J/kg/K. Find the final temperature of the water.
(The Specific Heat Capacity of iron is 400 J/kg/K and that of water is 4200 J/kg/K)
The answer has to be 27 C. Can someone help me please?

The sum of the heats gained is zero (some will be negative heat gained, or absorbed).
Heat gained by iron+heat gained by calorimeter+heat gained by water=0
miron*Ciron(Tf100)+mcalor*ccalor*(Tf15)+masswater*cwater*(Tf15)=0
do the algebra, solvr for Tf.
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