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5.32. As everyne whw has useal a fireplace kuws, when a fire burus in a furnase, a draft, er slight vasuum, is induccd that causcs the hot combustion gascs and cntraincd particulatc matter to flow up and out of the stack. The reason is that the hot gas in the stack is less dense than air at ambient temperature, leading to a lower hydrostatic head inside the stack than at the furnace inlet. The theoretical draft D(N/m?) is the difference in these hydrostatic heads; the actual draft takes into account pressure losses undergone by the gases flowing in the stack. Let T,(K) be the average temperature in a stack of height L(m) and T, the ambient temperature, and let M, and M, be the average molecular weights of the gases inside and outside the stack. Assume that the pressures inside and outside the stack are both equal to atmospheric pressure, P,(N/m²). (In fact, the pressure inside the stack is normally a little lower.) * This problem is adapted from A. Saterbak, L. V. McIntire, and K.-Y. San, Bioengineering Fundamentals, Pearson Prentice Hall, Upper Saddle River, 2007. ** Adapted from a problem contributed by Stephanie Farrell of Rowan University. le-Phase Systems (a) Use the ideal-gas equation of state to prove that the theoretical draft is given by the expression D(N/m?) R =" -) P,Lg (M. M, T T, (b) Suppose the gas in a 53-m stack has an average temperature of 655 K and contains 18 mole% CO2, 2% O,, and 80% N, on a day when barometric pressure is 755 mm Hg and the outside temperature is 294 K. Calculate the theoretical draft (cm H,O) induced in the furnace.

5.32. As everyne whw has useal a fireplace kuws, when a fire burus in a furnase, a draft, er slight vasuum, is induccd that causcs the hot combustion gascs and cntraincd particulatc matter to flow up and out of the stack. The reason is that the hot gas in the stack is less dense than air at ambient temperature, leading to a lower hydrostatic head inside the stack than at the furnace inlet. The theoretical draft D(N/m?) is the difference in these hydrostatic heads; the actual draft takes into account pressure losses undergone by the gases flowing in the stack. Let T,(K) be the average temperature in a stack of height L(m) and T, the ambient temperature, and let M, and M, be the average molecular weights of the gases inside and outside the stack. Assume that the pressures inside and outside the stack are both equal to atmospheric pressure, P,(N/m²). (In fact, the pressure inside the stack is normally a little lower.) * This problem is adapted from A. Saterbak, L. V. McIntire, and K.-Y. San, Bioengineering Fundamentals, Pearson Prentice Hall, Upper Saddle River, 2007. ** Adapted from a problem contributed by Stephanie Farrell of Rowan University. le-Phase Systems (a) Use the ideal-gas equation of state to prove that the theoretical draft is given by the expression D(N/m?) R =" -) P,Lg (M. M, T T, (b) Suppose the gas in a 53-m stack has an average temperature of 655 K and contains 18 mole% CO2, 2% O,, and 80% N, on a day when barometric pressure is 755 mm Hg and the outside temperature is 294 K. Calculate the theoretical draft (cm H,O) induced in the furnace.

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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5.32. As everyne whw has useal a fireplace kuws, when a fire burus in a furnase, a draft, er slight vasuum, is induccd that causcs the hot combustion gascs and cntraincd particulatc matter to flow up and out of the stack. The reason is that the hot gas in the stack is less dense than air at ambient temperature, leading to a lower hydrostatic head inside the stack than at the furnace inlet. The theoretical draft D(N/m?) is the difference in these hydrostatic heads; the actual draft takes into account pressure losses undergone by the gases flowing in the stack. Let T,(K) be the average temperature in a stack of height L(m) and T, the ambient temperature, and let M, and M, be the average molecular weights of the gases inside and outside the stack. Assume that the pressures inside and outside the stack are both equal to atmospheric pressure, P,(N/m²). (In fact, the pressure inside the stack is normally a little lower.) * This problem is adapted from A. Saterbak, L. V. McIntire, and K.-Y. San, Bioengineering Fundamentals, Pearson Prentice Hall, Upper Saddle River, 2007. ** Adapted from a problem contributed by Stephanie Farrell of Rowan University. le-Phase Systems (a) Use the ideal-gas equation of state to prove that the theoretical draft is given by the expression D(N/m?) R =" -) P,Lg (M. M, T T, (b) Suppose the gas in a 53-m stack has an average temperature of 655 K and contains 18 mole% CO2, 2% O,, and 80% N, on a day when barometric pressure is 755 mm Hg and the outside temperature is 294 K. Calculate the theoretical draft (cm H,O) induced in the furnace.
Transcribed Image Text:5.32. As everyne whw has useal a fireplace kuws, when a fire burus in a furnase, a draft, er slight vasuum, is induccd that causcs the hot combustion gascs and cntraincd particulatc matter to flow up and out of the stack. The reason is that the hot gas in the stack is less dense than air at ambient temperature, leading to a lower hydrostatic head inside the stack than at the furnace inlet. The theoretical draft D(N/m?) is the difference in these hydrostatic heads; the actual draft takes into account pressure losses undergone by the gases flowing in the stack. Let T,(K) be the average temperature in a stack of height L(m) and T, the ambient temperature, and let M, and M, be the average molecular weights of the gases inside and outside the stack. Assume that the pressures inside and outside the stack are both equal to atmospheric pressure, P,(N/m²). (In fact, the pressure inside the stack is normally a little lower.) * This problem is adapted from A. Saterbak, L. V. McIntire, and K.-Y. San, Bioengineering Fundamentals, Pearson Prentice Hall, Upper Saddle River, 2007. ** Adapted from a problem contributed by Stephanie Farrell of Rowan University. le-Phase Systems (a) Use the ideal-gas equation of state to prove that the theoretical draft is given by the expression D(N/m?) R =" -) P,Lg (M. M, T T, (b) Suppose the gas in a 53-m stack has an average temperature of 655 K and contains 18 mole% CO2, 2% O,, and 80% N, on a day when barometric pressure is 755 mm Hg and the outside temperature is 294 K. Calculate the theoretical draft (cm H,O) induced in the furnace.
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