A body cools from a temperature 4T to 2T in 25 minutes. The room temperature is T. Assume that Newton's law of cooling is applicable. The temperature of the body at the end of next 25 minutes will be : 

T

According to Newton's Law of cooling : \(\frac{T_1 - T_2}{\Delta t} = K[\frac{T_1 + T_2}{2} - T_o]\)

T_o = T ; T₁ = 4T ; T₂ = 2T

⇒ K = \(\frac{1}{25}\)

Again, \(\frac{T - T'}{25} = K[\frac{T + T'}{2} - T]\)

⇒ x = \(T\)