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 )

Question

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 ), 825 ° C, 800 ° C, 885 ° C, 1250 ° C

MARKS App · Accepted Answer

m c b = 100 g , T o C m c = 100 g , 30 o C m w = 170 g , 30 o C 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 .

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