A thermocouple is connected to a battery. The cold junction is maintained at 0.00°C while the temperature of the hot junction varies. When the hot junction is at 100.°C, the relative Peltier coefficient is measured to be 2.75 × 10-3 W/A, and when it is at 200.°C, it is 4.51 × 10-3 W/A. If the thermocouple potential is given by ? = aT + b2 , where T is in K, determine
a. The constants a and b.
b. The value of ? when the hot junction is at 100.°C and 200.°C.