Two identical containers of the same emissivity contain liquid A and B at same initial temperature 60 o C and densities ρ A & ρ B ρ A < ρ B . Which of the following plot best represents the temperature variation of both with time? (Given S A = 1000 J k g - 1 K - 1 & S B = 2000 J k g - 1 K - 1 )

Step-by-step solution

From Newton's law of cooling, rate of cooling: - d T d t = 4 σ e A T 0 3 T - T 0 m s ∵ ρ A < ρ B m A < m B And s A < s B ∴ m A s A < m B s B At t = 0, - d T d t A > - d T d t B Initially, the rate of cooling for A will be higher than B and temperature ( T ) vs time ( t ) graph will be a curve.