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Q.

A ball of thermal capacity 10 cal /o C is heated to the temperature of furnace. It is then transferred into a vessel containing water. The water equivalent of vessel and the contents is 200 gm. The temperature of the vessel and its contents rises from 10oC to 40oC. What is the temperature of furnace ?

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a

640oC

b

64oC

c

600oC

d

100oC

answer is A.

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Detailed Solution

Thermal capacity of ball = mc = 10 cal /o CLet T be the furnace temperature.Water eq. of vessel and contents = mc = 200 gm.Resultant temperature = 40oCAccording to principle of calorimetry,Heat lost by hot body = heat gained by cold bodymc(T−40)=mc(40−10)10(T−40)=200×30∴T=640∘C.
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