A Aluminium Sphere 100 gram mass is heated to raise it's temperature to 100°C and it is released in water of mass 100 gram and temperature is 20°C in a Copper calorimeter. If the mass of calorimeter is 50 grams, what will be the maximum temperature of water?
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Answer:
The amount of heat last by copper ball =m
ball
C Cu
ΔT bballl
=(100gm)(0.1cal/gm˚C)(T−75)˚C
The amount of heat gained by calorimeter =m
calorie
CCu
ΔT Calorie
=(100gm)(0.1cal/gm˚C)(75−30)˚C
Amount of heat gained by water =m
w C Cu ΔT w
(170gm)(1cal/gm˚C)(75−30)˚C
Hence, from conservation of energy,
100×0.1×(T−75)=100×0.1×(75−30)+170×1×(75−30)
⇒T=885˚C
Hence, correct answer is option C.
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