Studying the specifications of a thermocouple, you notice that it has the following properties when immersed into a stirred bath:

Mass of thermocouple, m = 20 g Heat capacity of thermocouple, C = 4 cal/g C Heat transfer coefficient h = 0.4 cal/cm² h C Surface area of thermocouple A = 5 cm²

What is the energy balance of the thermocouple? Assume that the rate of change of the temperature is proportional to h, A and also to the difference between the temperature of the surroundings, Ts, and the temperature of the thermocouple, T.