(b) An electric kettle with a 3kW heater element is used to boil water. The kettle has a stainless steel heating element with a diameter of D = 8 mm and an overall length of 0.5 m. The thermal conductivity of the heating element is k₁ = 15 W m-¹ K-1. During steady state operation the outer surface temperature of the element is Ts = 110 °C. Determine the following: (i) The temperature at the centre of the wire (i.e. Tmax) (ii) The convective heat transfer coefficient, h, for water in the kettle provided that at steady state the bulk temperature of the water is at 100 °C (considering that no evaporation of the water occurs). You may ignore losses to the environment.
(b) An electric kettle with a 3kW heater element is used to boil water. The kettle has a stainless steel heating element with a diameter of D = 8 mm and an overall length of 0.5 m. The thermal conductivity of the heating element is k₁ = 15 W m-¹ K-1. During steady state operation the outer surface temperature of the element is Ts = 110 °C. Determine the following: (i) The temperature at the centre of the wire (i.e. Tmax) (ii) The convective heat transfer coefficient, h, for water in the kettle provided that at steady state the bulk temperature of the water is at 100 °C (considering that no evaporation of the water occurs). You may ignore losses to the environment.
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
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:(b) An electric kettle with a 3kW heater element is used to boil water. The kettle has a
stainless steel heating element with a diameter of D = 8 mm and an overall length of
0.5 m. The thermal conductivity of the heating element is k₁= 15 W m-¹ K-1. During
steady state operation the outer surface temperature of the element is Ts = 110 °C.
Determine the following:
(i) The temperature at the centre of the wire (i.e. Tmax)
(ii) The convective heat transfer coefficient, h, for water in the kettle provided that at
steady state the bulk temperature of the water is at 100 °C (considering that no
evaporation of the water occurs). You may ignore losses to the environment.
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