A copper ball of mass 100   g is at a temperature T . It is dropped in a copper calorimeter of mass…

A copper ball of mass 100 g is at a temperature T. It is dropped in a copper calorimeter of mass 100 g, filled with 170 g of water at room temperature. Subsequently, the temperature of the system is found to be 75°C. T is given by:
(Given: room temperature =30°C, specific heat of copper =0.1 cal g-1 °C-1)
  1. 825°C
  2. 800°C
  3. 885°C
  4. 1250°C

Solution

mcb=100 g, ToCmc=100 g, 30oCmw=170 g, 30oC

Net heat loss = Net heat gain

⇒100×0.1×T-75=100×0.1×75-30+170×1×75-30

⇒T-75=45+17×45

⇒T=885°C.

Asked in: JEE Main 2017 (02 Apr)

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