Copper ball

Classical Mechanics Level 2

A copper ball of mass 100 100 gm is at temperature T T . It is dropped in a copper calorimeter of mass 100 100 gm, filled with 170 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be 75 75 ∘ C ^\circ C .

T T is given by:

Details and assumptions:

  • Room temperature = 30 =30 ∘ C ^{\circ}C

  • Specific heat of copper = 0.1 cal/gm = 0.1 ~ \text{cal/gm} ∘ C ^\circ C

1200 1200 ∘ C ^\circ C 825 825 ∘ C ^\circ C 885 885 ∘ C ^\circ C 800 800 ∘ C ^\circ C 1250 1250 ∘ C ^\circ C

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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1 solution

Munem Shahriar
Aug 3, 2017

Heat given = Heat taken

⇒ ( 100 ) ( 0.1 ) ( T − 75 ) = ( 100 ) ( 0.1 ) ( 45 ) + ( 170 ) ( 1 ) ( 45 ) \Rightarrow (100) (0.1) (T - 75) = (100) (0.1) (45) + (170) (1) (45)

⇒ 10 ( T − 75 ) = 450 + 7650 = 8100 \Rightarrow 10(T - 75) = 450 + 7650 = 8100

T − 75 = 810 ⟹ 810 + 75 = 885 ∘ C T - 75 = 810 \implies 810 + 75 = \boxed{885 ~ ^\circ C}

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