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Question

A piece of metal weighing 100 g is heated to 80o C and dropped into 1 kg of cold water in an insulated container at 15o C. If the final temperature of the water in the container is 15.69o C, the specific heat of the metal in J/go.C is:

A
0.38
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B
0.24
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C
0.45
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D
0.13
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Solution

The correct option is C 0.45
Heat exchanged is given by,
Q=m×s×(T2T1) where s= specific heat

So, when heated metal is dropped into the cold water, we can write:

mmetal×smetal×(T2T1)metal=mwater×swater×(T2T1)water

0.1×smetal×(8015.69)=1×4.18×(15.6915)

smetal=0.45J/g0 C

Hence, option C is correct.

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