Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 1, Problem 35P

An iron-constantan thermocouple is calibrated by inserting its junction in boiling water (100°C) and measuring a voltage V = 5.27 mV, and then inserting the junction in silver chloride at its melting point (455°C) and measuring V = 24.88 mV.

(a) Find the equation of the line for the measured temperature T as a function of the voltage V and determine the value of the sensitivity a and the reference temperature T R .

(h) Sketch the graph of T as a function of V and clearly indicate both the reference temperature T R ? and the sensitivity a on the graph.

(c) If the thermocouple is mounted in a chemical reactor and the voltage is observed to go from 10.0 mV to 13.6 mV, what is the change in temperature of the reactor?

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Chapter 1 Solutions

Introductory Mathematics for Engineering Applications

Ch. 1 - The velocity of a vehicle is measured at two...Ch. 1 - The velocity v (t ) of a vehicle during braking is...Ch. 1 - A linear trajectory is planned for a robot to pick...Ch. 1 - The acceleration of the linear trajectory of...Ch. 1 - The temperature distribution in a well-insulated...Ch. 1 - The temperature distribution in a well-insulated...Ch. 1 - The voltage-current relatonship for the cicuit...Ch. 1 - A voltage source Vs is used to apply two different...Ch. 1 - Repeat problem P1-18 for the data shown in Fig,...Ch. 1 - Repeat problem P1-18 for the data shown in Fig...Ch. 1 - A linear model of a diode is shown in Fig. P1.21....Ch. 1 - Repeat Problem P1-21 for the data given in Fig....Ch. 1 - The output voltage, v0, of the Op-Amp circuit...Ch. 1 - The output voltage, v0, of the Op-Amp circuit...Ch. 1 - A DC motor is driving an inertial load JL shown in...Ch. 1 - Repeat problem P1-25 for the data shown in Fig....Ch. 1 - In the active region, the output voltage v0 of the...Ch. 1 - Repeat problem P1-27 for the data given in Fig,...Ch. 1 - An actuator used in a prosthetic arm can produce...Ch. 1 - The following two measurements of maximum heart...Ch. 1 - The electrical activity of muscles can he...Ch. 1 - A civil engineer needs to establish the elevation...Ch. 1 - A thermocouple is a temperature measurement...Ch. 1 - The voltage across a thermocouple is calibrated...Ch. 1 - An iron-constantan thermocouple is calibrated by...Ch. 1 - Prob. 36PCh. 1 - Repeat problem P1-36 for the data shown in Fig....Ch. 1 - To determine the concentration of a purified...Ch. 1 - Repeat problem P1-38 lithe absorption-...Ch. 1 - A chemistry student is performing in experiment to...Ch. 1 - To obtain the linear relationship between the...Ch. 1 - A thermostat control with dial marking from 0 to...Ch. 1 - In a pressure-fed journal bearing, forced cooling...
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