Answer to Question #8176 in Molecular Physics | Thermodynamics for Frank Omorogbe
A platinium resistance thermometer has resistance of 52.5 ohms and 9.75 ohms at 0 degrees Celsius and 100 degrees Celsius respectively. When the resistance is 8.25 ohms, find the temperature.
Let's find out the relation between termometer resistance and temperature. We assume that resistance changes linearly with respect to temperature, i.e. R = αT + C. We know that 52.5 = 0α + C ==> C = 52.5 and 9.75 = 100α + C ==> α = (9.75 - C)/100 = α = (9.75 - 52.5)/100 = -0.4275. So, the resistance of 8.25 ohms corresponds to the temperature of T = (R - C)/α = (8.25 - 52.5)/(-0.4275) = 103.5088°C.