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Use a linear trendline to find the coefficients of a straight line through the data

Use a linear trendline to find the coefficients of a straight line through the data

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Calibration Curve 6.3 Thermocouple Thermocouples are made by joining two dissimilar metal wires. The contact of the two metals results in a small, but measurable, voltage drop across the junc- tion. This voltage drop changes as the temperature of the junction changes; thus, the thermocouple can be used to measure temperature if you know the relationship between temperature and voltage. Equations for common types of thermocouples are available, or you can simply take a few data points and pre- pare a calibration curve. This is especially easy for thermocouples because for small temperature ranges, the relationship between temperature and voltage is nearly linear. Use a linear trendline to find the coefficients of a straight line through the data shown here: T (°C) 10 20 30 40 50 60 70 80 90 Problems 285 V (mv) 0.397 0.798 1.204 1.612 2.023 2.436 2.851 3.267 3.682 Note: The thermocouple voltage changes because the temperature changes- that is, the voltage depends on the temperature. For regression, the indepen- dent variable (temperature) should always be on the x axis, and the dependent variable (voltage) should be on the y axis.
Transcribed Image Text:Calibration Curve 6.3 Thermocouple Thermocouples are made by joining two dissimilar metal wires. The contact of the two metals results in a small, but measurable, voltage drop across the junc- tion. This voltage drop changes as the temperature of the junction changes; thus, the thermocouple can be used to measure temperature if you know the relationship between temperature and voltage. Equations for common types of thermocouples are available, or you can simply take a few data points and pre- pare a calibration curve. This is especially easy for thermocouples because for small temperature ranges, the relationship between temperature and voltage is nearly linear. Use a linear trendline to find the coefficients of a straight line through the data shown here: T (°C) 10 20 30 40 50 60 70 80 90 Problems 285 V (mv) 0.397 0.798 1.204 1.612 2.023 2.436 2.851 3.267 3.682 Note: The thermocouple voltage changes because the temperature changes- that is, the voltage depends on the temperature. For regression, the indepen- dent variable (temperature) should always be on the x axis, and the dependent variable (voltage) should be on the y axis.
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