According to Newton’s law of cooling, we have:
Where,
Temperature of the body = T
Temperature of the surroundings = T0 = 20°C
K is a constant
Temperature of the body falls from 80°C to 50°C in time, t = 5 min = 300 s
Integrating equation (i), we get:
The temperature of the body falls from 60°C to 30°C in time = t’
Therefore, the time taken to cool the body from 60°C to 30°C is 10 minutes.
