A hot liquid in a container of negligible heat capacity cools at 3 K min⁻¹ just before solidification begins. Its temperature remains constant for 30 min during solidification. If the ratio of specific heat capacity to latent heat of fusion is x/y K⁻¹ (heat-loss rate constant), find x+y.

Physics · Thermodynamics

JEE Advanced

A hot liquid in a container of negligible heat capacity cools at 3 K min⁻¹ just before solidification begins. Its temperature remains constant for 30 min during solidification. If the ratio of specific heat capacity to latent heat of fusion is x/y K⁻¹ (heat-loss rate constant), find x+y.