A gas leak has led to the presence of 1mole% carbon monoxide in a 350 m3 The leak was discovered and sealed, and the laboratory is to be purged with clean air to a point at which the air contains less then OSHA (Occupational Safety and Health Administration) specified Permissible Exposure Level (PEL) of 35 ppm (molar basis). Assume that the laboratory air is perfectly mixed throughout the purging process. (i) Let t (h) be the time required for the specified reduction in carbon monoxide concentration. Write a differential CO balance, letting N equal to total moles of gas in the room (assume constant), x the mole fraction of CO in the room air, obtain dx/dt. If the volumetric flow rate is 700 m3/h, how long will the purge take? What would the volumetric flow rate have to be to cut the purge time in half?

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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  1. A gas leak has led to the presence of 1mole% carbon monoxide in a 350 m3 The leak was discovered and sealed, and the laboratory is to be purged with clean air to a point at which the air contains less then OSHA (Occupational Safety and Health Administration) specified Permissible Exposure Level (PEL) of 35 ppm (molar basis). Assume that the laboratory air is perfectly mixed throughout the purging process. (i) Let t (h) be the time required for the specified reduction in carbon monoxide concentration. Write a differential CO balance, letting N equal to total moles of gas in the room (assume constant), x the mole fraction of CO in the room air, obtain dx/dt. If the volumetric flow rate is 700 m3/h, how long will the purge take? What would the volumetric flow rate have to be to cut the purge time in half?
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