College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question 3: 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 Tc is accurately captured by the formula
R = Ro (1 + A Tc + B (Tc)²)
where A and B are constants determined by measurements at the ice point of water, the steam
point of water, and the melting point of zinc (419.514°C). (a) If R equals 10.000 ohms at the
freezing point of water, 13.946 ohms at the boiling point of water, and 24.174 ohms at the
melting point of zinc, find RO, A, and B (b) If the resistance is measured to be 17.7 ohms, what
is the temperature? (c) Plot R versus Tc in the range from 0°C to 700.0°C.
Math tip: When we have several equations for several unknown variables, we can use the first
equation to solve for one of the variables in terms of the others and then replace that variable
in the remaining equations with this new expression. Or we can add/subtract equations with
different coefficients to get a simpler equation where one or more of the variables has been
eliminated.
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Transcribed Image Text:Question 3: 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 Tc is accurately captured by the formula R = Ro (1 + A Tc + B (Tc)²) where A and B are constants determined by measurements at the ice point of water, the steam point of water, and the melting point of zinc (419.514°C). (a) If R equals 10.000 ohms at the freezing point of water, 13.946 ohms at the boiling point of water, and 24.174 ohms at the melting point of zinc, find RO, A, and B (b) If the resistance is measured to be 17.7 ohms, what is the temperature? (c) Plot R versus Tc in the range from 0°C to 700.0°C. Math tip: When we have several equations for several unknown variables, we can use the first equation to solve for one of the variables in terms of the others and then replace that variable in the remaining equations with this new expression. Or we can add/subtract equations with different coefficients to get a simpler equation where one or more of the variables has been eliminated.
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