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A rectangular slab of butter which is 46.2 mm thick at a temperature of 277.6 K (4.4°C) in a cooler is removed and placed in an environment at 297.1 K (23.9°C). The sides and bottom of the butter container can be considered to be insulated by the container sidewalls. The flat top surface of the butter is exposed to the environment. The convective coefficient is constant and is 8.52 W/m2-K. Calculate the temperature in the butter at the surface, at 25.4 mm below the surface, and at 46.2 mm below the surface at the insulated bottom after 5 h of exposure. The physical properties of butter are k = 0.197 W/m-K, CP = 2.30 kJ/kg-K and ρ = 998 kg/m3.

A rectangular slab of butter which is 46.2 mm thick at a temperature of 277.6 K (4.4°C) in a cooler is removed and placed in an environment at 297.1 K (23.9°C). The sides and bottom of the butter container can be considered to be insulated by the container sidewalls. The flat top surface of the butter is exposed to the environment. The convective coefficient is constant and is 8.52 W/m2-K. Calculate the temperature in the butter at the surface, at 25.4 mm below the surface, and at 46.2 mm below the surface at the insulated bottom after 5 h of exposure. The physical properties of butter are k = 0.197 W/m-K, CP = 2.30 kJ/kg-K and ρ = 998 kg/m3.

Introduction to Chemical Engineering Thermodynamics
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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A rectangular slab of butter which is 46.2 mm thick at a temperature of 277.6 K (4.4°C) in a cooler is removed and placed in an environment at 297.1 K (23.9°C). The sides and bottom of the butter container can be considered to be insulated by the container sidewalls. The flat top surface of the butter is exposed to the environment. The convective coefficient is constant and is 8.52 W/m2-K. Calculate the temperature in the butter at the surface, at
25.4 mm below the surface, and at 46.2 mm below the surface at the insulated bottom after 5 h of exposure. The physical properties of butter are k = 0.197 W/m-K, CP = 2.30 kJ/kg-K and ρ = 998 kg/m3.

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