A piece of metal with a mass of 1.50 kilograms, specific heat of 200 J?/?kg?/?C°

Question

A piece of metal with a mass of 1.50 kilograms, specific heat of 200 J?/?kg?/?C°, and initial temperature of 100° C is dropped into an insulated jar that contains liquid with a mass of 3.00 kilograms, specific heat of 1,000 J?/?kg?•?C°, and initial temperature of 0° C. The piece of metal is removed after 5 seconds, at which time its temperature is 20° C. Neglect any effects of heat transfer to the air or to the insulated jar. The temperature of the liquid after the metal is removed is
0° C

4° C

8° C

10° C

20° C

Explanation / Answer

Using formula: Q=mct

Initial energy of metal= 1.5x200x100 J = 30,000J

Final energy of metal= 1.5x200x20 = 6,000J

Let be temperature of liquid as the metal is removed

Lost of energy of metal = Gained in energy of liquid

         (30,000 - 6,000)J =3.00x1000x(-0)

Therefore, = 8 degrees

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