Q1) A brick 1m high, 3m long, and 0.5m thick leaves an oven, where it has been heated to a uniform temperature of 300-C. The brick is allowed to cool in a room at 35-C with an air-convection coefficient of 15 W/m2.C. The bottom surface of the brick is on an insulated stand. Thermal diffusivity = 1.16x10-6 m²/s, thermal conductivity = 2.2 W/m.K. (a) How much heat will have been lost when the bricks cool to room temperature? (b) How long will it take to lose half this amount? (c) What will the temperature at the geometric center of the stack be at this time?

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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Q1) A brick 1m high, 3m long, and 0.5m thick leaves an oven, where it has been
heated to a uniform temperature of 300-C. The brick is allowed to cool in a room
at 35-C with an air-convection coefficient of 15 W/m². C. The bottom surface of
the brick is on an insulated stand. Thermal diffusivity = 1.16x10-6 m2/s, thermal
conductivity = 2.2 W/m.K.
(a) How much heat will have been lost when the bricks cool to room temperature?
(b) How long will it take to lose half this amount?
(c) What will the temperature at the geometric center of the stack be at this time?
Transcribed Image Text:Q1) A brick 1m high, 3m long, and 0.5m thick leaves an oven, where it has been heated to a uniform temperature of 300-C. The brick is allowed to cool in a room at 35-C with an air-convection coefficient of 15 W/m². C. The bottom surface of the brick is on an insulated stand. Thermal diffusivity = 1.16x10-6 m2/s, thermal conductivity = 2.2 W/m.K. (a) How much heat will have been lost when the bricks cool to room temperature? (b) How long will it take to lose half this amount? (c) What will the temperature at the geometric center of the stack be at this time?
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