A container holds 1 kg of water in sunlight. The average solar energy received is 700 W m⁻² and is absorbed over an effective area of 0.05 m². Heat loss to the surroundings follows Newton's law of cooling with constant 0.001 s⁻¹. Take the heat capacity of water as 4200 J kg⁻¹ K⁻¹. Find the long-time temperature difference, in °C, between the water and the surroundings.

Physics · Thermodynamics

JEE Advanced 2021

A container holds 1 kg of water in sunlight. The average solar energy received is 700 W m⁻² and is absorbed over an effective area of 0.05 m². Heat loss to the surroundings follows Newton's law of cooling with constant 0.001 s⁻¹. Take the heat capacity of water as 4200 J kg⁻¹ K⁻¹. Find the long-time temperature difference, in °C, between the water and the surroundings.