A temperature measurement probe includes a highly sensitive temperature sensing element inside a cylindrical metal rod, called thermo-well, with the mass of M kg. The reading temperature is the temperature of the thermo-well itself. The measured fluid is assumed to maintain a constant temperature at 200 C. Determine the mathematical model and examine its temperature dynamics of the metal rod, after the probe is suddenly immerged into the measured fluid. Hint: Draw a schematic process diagram. Make assumptions as required. Specify variables as needed.