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.
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Expert's answer
2012-04-10T07:19:37-0400
Let's find out the relation between resistance and temperature. We assume that resistance changes linearly with respect to temperature, i.e. R = αT. Let's find coefficient α. Difference in temperature: 100-0 = 100 C. Difference in resistance: 52.5-9.75 = 42.75 Ohms. Therefore, & alpha; = 42.75/100 = 0.4275 Ohm/K. So, the temperature corresponding to the resistance of 8.25 ohms is T = R/α = 8.25/0.4275 ≈ 19.2982 K.
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