4) Consider the schematic diagram of a thermowell/thermocouple which is used to measure temperature (T) of…

4) Consider the schematic diagram of a thermowell/thermocouple which is used to measure temperature (T) of a fluid. The measured temperature Tm is recorded via thermocouple leads. The energy balance equation is given below. T. mc = UAT-T…) dt Here, m is the mass of the fluid in the thermowell, C is the specific heat, U is the heat transfer coefficient and A is the area of the thermowell wall. Page 2 of 2 (a) Derive the transfer function between the output Tm(s) and the input T” (s) (b) What are the ways in which we can decrease the measurement lag 7 for this system?