A resistance thermometer obeys R ( T ) = R 0 ( 1 + a T + b T 2 ) with T in °C. It reads 10Ω at 0°C, 14Ω at 100°C and 20Ω at 200°C. When it reads 11.75Ω , find T in °C in the interval 0 to 100.

Question

A resistance thermometer obeys R ( T ) = R 0 ​ ( 1 + a T + b T 2 ) with T in °C. It reads 10Ω at 0°C, 14Ω at 100°C and 20Ω at 200°C. When it reads 11.75Ω , find T in °C in the interval 0 to 100.

TestHub · Accepted Answer

100 a + 10000 b = 0.4 . 200 a + 40000 b = 1. Thus b = 1 0 − 5 and a = 0.003 . 0.003 T + 1 0 − 5 T 2 = 0.175. The roots are 50 and -350; only 50 lies in the stated interval.

Physics - Heat & Thermo Question with Solution | TestHub

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