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1. A wall of a house has a size of 20 mx 2 m. It consists of 3 layers of materials: 6 cm wood, 10 cm fiberglass, and 6 cm wood. The conduction coefficients of wood and fiberglass are 0.2 and 0.05, respectively. The radiation cannot be ignored, and the inner and outer surfaces of wall both have emissivity of 0.9. The room temperature in the house is always 20 C and the convection coefficient inside is always 5 W/m²-K. In a summer day, the outside temperature is 35 C and the convection coefficient outside is always 20 W/m²-K. In addition to the above heat transfer, the sunlight shines on the wall and gets absorbed. The energy of this additional sunlight heat absorbed by the wall is 800 W/m². (hint: the thermal circuit includes an additional heat source from the sunlight.) a.) What is the exterior temperature of the wall? b.) What is the the heat removal rate by AC to maintain the room temperature at 20 C ? c.) What would the exterior temperature and heat removal rate be if the fiberglass becomes 5 cm or 20 cm thick?

1. A wall of a house has a size of 20 mx 2 m. It consists of 3 layers of materials: 6 cm wood, 10 cm fiberglass, and 6 cm wood. The conduction coefficients of wood and fiberglass are 0.2 and 0.05, respectively. The radiation cannot be ignored, and the inner and outer surfaces of wall both have emissivity of 0.9. The room temperature in the house is always 20 C and the convection coefficient inside is always 5 W/m²-K. In a summer day, the outside temperature is 35 C and the convection coefficient outside is always 20 W/m²-K. In addition to the above heat transfer, the sunlight shines on the wall and gets absorbed. The energy of this additional sunlight heat absorbed by the wall is 800 W/m². (hint: the thermal circuit includes an additional heat source from the sunlight.) a.) What is the exterior temperature of the wall? b.) What is the the heat removal rate by AC to maintain the room temperature at 20 C ? c.) What would the exterior temperature and heat removal rate be if the fiberglass becomes 5 cm or 20 cm thick?

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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1. A wall of a house has a size of 20 mx 2 m. It consists of 3 layers of materials: 6 cm wood, 10 cm fiberglass, and 6 cm wood. The conduction coefficients of wood and fiberglass are 0.2 and 0.05, respectively. The radiation cannot be ignored, and the inner and outer surfaces of wall both have emissivity of 0.9. The room temperature in the house is always 20 C and the convection coefficient inside is always 5 W/m²-K. In a summer day, the outside temperature is 35 C and the convection coefficient outside is always 20 W/m²-K. In addition to the above heat transfer, the sunlight shines on the wall and gets absorbed. The energy of this additional sunlight heat absorbed by the wall is 800 W/m². (hint: the thermal circuit includes an additional heat source from the sunlight.) a.) What is the exterior temperature of the wall? b.) What is the the heat removal rate by AC to maintain the room temperature at 20 C ? c.) What would the exterior temperature and heat removal rate be if the fiberglass becomes 5 cm or 20 cm thick?
Transcribed Image Text:1. A wall of a house has a size of 20 mx 2 m. It consists of 3 layers of materials: 6 cm wood, 10 cm fiberglass, and 6 cm wood. The conduction coefficients of wood and fiberglass are 0.2 and 0.05, respectively. The radiation cannot be ignored, and the inner and outer surfaces of wall both have emissivity of 0.9. The room temperature in the house is always 20 C and the convection coefficient inside is always 5 W/m²-K. In a summer day, the outside temperature is 35 C and the convection coefficient outside is always 20 W/m²-K. In addition to the above heat transfer, the sunlight shines on the wall and gets absorbed. The energy of this additional sunlight heat absorbed by the wall is 800 W/m². (hint: the thermal circuit includes an additional heat source from the sunlight.) a.) What is the exterior temperature of the wall? b.) What is the the heat removal rate by AC to maintain the room temperature at 20 C ? c.) What would the exterior temperature and heat removal rate be if the fiberglass becomes 5 cm or 20 cm thick?
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