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

(a) 0.38

(b) 0.24

(c) 0.45

(d) 0.13

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Answer is : (c) 0.45

Given,

weight of metal = 100 g

T2 = 15.69° C, T1 = 80° C

Specific heat of water = 4.184 J/g°C

Heat gained by 100 g of metal = Heat lost by 1000 g of water.

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