# Physics

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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?

• Physics -

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(Tf-100)+mcalor*ccalor*(Tf-15)+masswater*cwater*(Tf-15)=0

do the algebra, solvr for Tf.

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