Question

A platinum resistance thermometer is a device that allows us to determine the temperature by measuring the resistance of a piece of pure platinum wire. In the interval between the freezing point of water and 700.0°C, the relationship between the resistance and the Celsius temperature T C is accurately captured by the formula

R = R0(1 + A TC+ B (TC)2)

where A and B are constants determined by measurements at the freezing point of water, the boiling point of water, and the melting point of lead (327.46°C). (a) If R equals 5.000 ohms at

the freezing point of water, 6.973 ohms at the boiling point of water, and 10.80 ohms at the melting point of lead, find R0, A, and B (b) If the resistance is measured to be 8.300 ohms, what

is the temperature? (c) Plot R versus TC in the range from 0°C to 700.0°C.

Answer 1

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