A room contains fresh air initially. At the beginning, the mixture of smoke of cigarette and air is introduced into the room at a rate of 0.02 m3/min that involve 0.1 m3 CO/m3 air. The room is well circulated and mixture is allowed to leave the room at a rate of 0.02 m3/min. Assume that the densities of gases are equal and Vroom=50 m3. Derive a mathematical model and use Laplace Transformation method to find the concentration of CO at any time. Calculate the concentration of CO in the room after 2 h.

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
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A room contains fresh air initially. At the beginning, the mixture of smoke of cigarette and air is introduced into the room at a rate of 0.02 m3/min that involve 0.1 m3 CO/m3 air. The room is well circulated and mixture is allowed to leave the room at a rate of 0.02 m3/min.

Assume that the densities of gases are equal and Vroom=50 m3.

  1. Derive a mathematical model and use Laplace Transformation method to find the concentration of CO at any time.
  2. Calculate the concentration of CO in the room after 2 h.
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