A platinum resistance is used to interpolate between the triple point of water (0 ºC), the boiling point of water (100 ºC) and the freezing point of zinc (419.6 ºC). The correspondence resistance values are 100.0 Ω, 138.5 Ω and 253.7 Ω. The interpolation equation is given by RT = R0 (1+αT+βT2 ). Find α and β. What is the resistance if the temperature is 180 ºC?

A platinum resistance is used to interpolate between the triple point of water (0 ºC), the boiling point of water (100 ºC) and the freezing point of zinc (419.6 ºC). The correspondence resistance values are 100.0 Ω, 138.5 Ω and 253.7 Ω. The interpolation equation is given by RT = R0 (1+αT+βT2 ). Find α and β. What is the resistance if the temperature is 180 ºC?

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Question

A platinum resistance is used to interpolate between the triple point of water (0 ºC), the
boiling point of water (100 ºC) and the freezing point of zinc (419.6 ºC). The
correspondence resistance values are 100.0 Ω, 138.5 Ω and 253.7 Ω. The interpolation
equation is given by RT = R0 (1+αT+βT2
). Find α and β. What is the resistance if the
temperature is 180 ºC?

Expert Solution