The Seebeck voltage (?) to relative temperature (T) conversion for an iron-constantan thermocouple with an ice point (0.00°C) reference is given over the range 0.00°C to 760.°C by T = a0 + a1? + a2?2 + a3?3 + a4?4 + a5?5 , where T is in °C and ? is the Seebeck voltage in microvolts (i.e., 10-6 V). The polynomial coefficients given by the National Bureau of Standards are
a0 = -0.048868252
a1 = 19873.14503
a2 = -218614.5353
a3 = 11569199.78
a4 = -264917531.4
a5 = 2018441314.
a. Write an interactive computer program that asks the user for the thermocouple voltage (in the proper units) and returns the temperature, Seebeck, Peltier, and difference in Kelvin coefficients (in proper units) to the screen.
b. Plot the Seebeck voltage and the Seebeck and Peltier coefficients vs. temperature over the temperature range of 0.00°C to 700.°C using at least 100 points per curve.