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1. A gas detector is used to determine concentration of a flammablé gas ll Normally the gas concentration is 1% by volume which is below the alarm limit of 4% and the lower flammability limit of 5%. If the gas concentration is above the lower flammability limit it is flammable. The dynamic behavior of a particular gas detector can be expressed as a first-order transfer function (in deviation variables) that relates the measured concentration Ym to the actual concentration Y' Ym (s) Y'(s) 1 5s +1 where Ym and Y' are in volume percent and the time constant is in units of seconds. At a particular time the gas stream is flowing at a rate of q = 1.0 m³/s through a duct with a cross- sectional area of 1 m². a) If the flammable gas concentration suddenly increases from 1% to 7% by volume, how many cubic meters of the gas stream with the flammable gas component pass through the detector before the alarm is sounded? b) Is it possible for a plug of flammable gas to pass the detector without the alarm ever being sounded? Explain.

1. A gas detector is used to determine concentration of a flammablé gas ll Normally the gas concentration is 1% by volume which is below the alarm limit of 4% and the lower flammability limit of 5%. If the gas concentration is above the lower flammability limit it is flammable. The dynamic behavior of a particular gas detector can be expressed as a first-order transfer function (in deviation variables) that relates the measured concentration Ym to the actual concentration Y' Ym (s) Y'(s) 1 5s +1 where Ym and Y' are in volume percent and the time constant is in units of seconds. At a particular time the gas stream is flowing at a rate of q = 1.0 m³/s through a duct with a cross- sectional area of 1 m². a) If the flammable gas concentration suddenly increases from 1% to 7% by volume, how many cubic meters of the gas stream with the flammable gas component pass through the detector before the alarm is sounded? b) Is it possible for a plug of flammable gas to pass the detector without the alarm ever being sounded? Explain.

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 gas detector is used to determine concentration of a flammable gas in a gas stream. Normally the gas concentration is 1% by volume which is below the alarm limit of 4% and the lower flammability limit of 5%. If the gas concentration is above the lower flammability limit it is flammable. The dynamic behavior of a particular gas detector can be expressed as a first-order transfer function (in deviation variables) that relates the measured concentration Ym to the actual concentration Y' Ym (s) Y'(s) 1 %3D 5s + 1 where Ym and Y' are in volume percent and the time constant is in units of seconds. At a particular time the gas stream is flowing at a rate of q = 1.0 m³/s through a duct with a cross- sectional area of 1 m². a) If the flammable gas concentration suddenly increases from 1% to 7% by volume, how many cubic meters of the gas stream with the flammable gas component pass through the detector before the alarm is sounded? b) Is it possible for a plug of flammable gas to pass the detector without the alarm ever being sounded? Explain.
Transcribed Image Text:1. A gas detector is used to determine concentration of a flammable gas in a gas stream. Normally the gas concentration is 1% by volume which is below the alarm limit of 4% and the lower flammability limit of 5%. If the gas concentration is above the lower flammability limit it is flammable. The dynamic behavior of a particular gas detector can be expressed as a first-order transfer function (in deviation variables) that relates the measured concentration Ym to the actual concentration Y' Ym (s) Y'(s) 1 %3D 5s + 1 where Ym and Y' are in volume percent and the time constant is in units of seconds. At a particular time the gas stream is flowing at a rate of q = 1.0 m³/s through a duct with a cross- sectional area of 1 m². a) If the flammable gas concentration suddenly increases from 1% to 7% by volume, how many cubic meters of the gas stream with the flammable gas component pass through the detector before the alarm is sounded? b) Is it possible for a plug of flammable gas to pass the detector without the alarm ever being sounded? Explain.
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