The signal (e.m.f.) produced by a thermocouple with its test junction at ToC is given by ε = aT + bT2 [mV], where a = 0.2 mV/oC and b = 5.1 x 10-4 mV/oC2.
(a) Draw a graph of ε against T within the range of -200oC to 500oC. Suppose you define a new scale after your name. The temperature in your scale is assumed to be linearly related to the signal through T'= a' + b' ε with T' = 25 at ice point and T' = 150 at the steam point.
(b) Find the values of a' and b', and plot T' against T.