A thermocouple lead consists of a small sphere of constantan (a Cu-Ni alloy) having a diameter of 1 mm. Constantan has a density (ρ) of 8920 kg/m3 , a thermal conductivity (k) of 24 W/(m.K), and a heat capacity (Cp) of 410 J/(kg.K). The thermocouple lead is initially at 20 ºC. It is placed into a hot air stream at 200 ºC. The heat transfer coefficient, h between the thermocouple lead and the air is 300 W/(m2 .K). a) Determine which resistance controls the heat transfer process. b) Determine the time required for the thermocouple reading to reach 95% of its total temperature change.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A thermocouple lead consists of a small sphere of constantan (a Cu-Ni alloy) having a diameter of 1 mm. Constantan has a density (ρ) of 8920 kg/m3 , a thermal conductivity (k) of 24 W/(m.K), and a heat capacity (Cp) of 410 J/(kg.K). The thermocouple lead is initially at 20 ºC. It is placed into a hot air stream at 200 ºC. The heat transfer coefficient, h between the thermocouple lead and the air is 300 W/(m2 .K).

a) Determine which resistance controls the heat transfer process.

b) Determine the time required for the thermocouple reading to reach 95% of its total temperature change.

***Do not copy from chegg. That one is not correct.

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