JEE Advanced 2019 Physics question

PhysicsThermal Properties of MatterJEE Advanced 2019

A liquid at 30°C is poured very slowly into a Calorimeter that is at temperature of 110°C. The boiling temperature of the liquid is 80°C. It is found that the first 5 gm of the liquid completely evaporates. After pouring another 80 gm of the liquid the equilibrium temperature is found to be 50°C. The ratio of the Latent heat of the liquid to its specific heat will be °C. [Neglect the heat exchange with surrounding]

Answer: 270

Solution

Let the heat capacity of the calorimeter be , the specific heat of the liquid and its latent heat . First 5 g: the liquid is heated from 30°C to 80°C and evaporated while the calorimeter cools from 110°C to 80°C:

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Question ID VK-026824