First slide

Questions based on phase change

Question

A calorimeter contains 0.2 kg of water at 30°C. 0.1 kg of water at 60°C is added to it, the mixture is well stirred and the resulting temperature is found to be 35°C. The thermal capacity of the calorimeter is

Moderate

A

6300 J/K
B

1260 J/K
C

4200 J/K
D

None of these

Solution

Let X be the thermal capacity of calorimeter and specific heat of water = 4200 J/kg-K.
Heat lost by 0.1 kg of water = Heat gained by water in calorimeter + Heat gained by calorimeter
0.1 × 4200 × (60 - 35) = 0.2 × 4200 × (35 - 30) + X(35 - 30)
10500 = 4200 + 5X $\Rightarrow$ X = 1260 J/K

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