an experiment, the temperature of a hot gas stream is to be measured by a thermocouple with a spherical junction. Due to the nature of this experiment, the response time of the thermocouple to register 99 percent of the initial temperature difference must be within 5 s. The properties of the thermocouple junction are k = 34 W/m·K, ρ= 8400 kg/m3 and Cp =310 J/kg·K. If the heat transfer coefficient between the thermocouple junction and the gas is 230 W/m2·K, determine the diameter of the junction. Answer: 0.59 mm

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
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In an experiment, the temperature of a hot gas stream is to be measured by a
thermocouple with a spherical junction. Due to the nature of this experiment, the
response time of the thermocouple to register 99 percent of the initial temperature
difference must be within 5 s. The properties of the thermocouple junction are k =
34 W/m·K, ρ= 8400 kg/m3 and Cp =310 J/kg·K. If the heat transfer coefficient
between the thermocouple junction and the gas is 230 W/m2·K, determine the
diameter of the junction. Answer: 0.59 mm 

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