Consider the heating of a house by a furnace, which serves as a heat-source reservoir at ahigh temperature TF. The house acts as a heat-sink reservoir at temperature T, and heat Qmust be added to the house during a particular time interval to maintain this temperature.Heat IQ can of course be transferred directly from the furnace to the house, as is the usualpractice. However, a third heat reservoir is readily available, namely, the surroundings attemperature To, which can serve as another heat source, thus reducing the amount of heatrequired from the furnace. Given that TF=810 K, T=295 K, T=265 K, and |Q| = 1000 kJ,determine the minimum amount of heat QF which must be extracted from the heat-sourcereservoir (furnace) at TF. No other sources of energy are available.

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Answered: Consider the heating of a house by a…

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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Question

Consider the heating of a house by a furnace, which serves as a heat-source reservoir at a
high temperature TF. The house acts as a heat-sink reservoir at temperature T, and heat Q
must be added to the house during a particular time interval to maintain this temperature.
Heat IQ can of course be transferred directly from the furnace to the house, as is the usual
practice. However, a third heat reservoir is readily available, namely, the surroundings at
temperature To, which can serve as another heat source, thus reducing the amount of heat
required from the furnace. Given that TF=810 K, T=295 K, T=265 K, and |Q| = 1000 kJ,
determine the minimum amount of heat QF which must be extracted from the heat-source
reservoir (furnace) at TF. No other sources of energy are available.

Expert Solution

Step 1: Given data:

$T h e space t o t a l space a m o u n t space o f space h e a t space s u p p l i e d space t o space t h e space h o u s e comma backslash Q backslash equals 1000 k J The space temperture space of space the space first space heat space source space left parenthesis space furnace right parenthesis comma straight T subscript straight f equals 810 straight K The space temperture space of space the space second space heat space source space left parenthesis space surroundings right parenthesis comma straight T subscript straight sigma equals 265 straight K The space temperature space that space is space required space to space be space maintained space in space the space house comma straight T equals 295 straight K$