A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be 75°C. T is given by :?

1 Answer
A08
Aug 2, 2018

Using Law of conservation of energy for a closed system we have

Heat given by copper ball
#=# Heat taken by water and copper calorimeter .....(1)

Taking room temperature to be #=30^@C#
Specific heat capacity of copper #=0.385\ Jg^-1K^-1#
Specific heat capacity of water #=4.1813\ Jg^-1K^-1#

Inserting various values in (1) we get

#(100) (0.385) (T - 75) = (100) (0.385) (75-30)+(170) (4.1813) (75-30)#
#=> (T - 75) = (38.5 (45)+(170) (4.1813) (45))/38.5#
#=>T - 75 = 875.8#
#=>T = 800.8^@ C#

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