A chemical reaction in a laboratory with volume V (in ft) produces q, ft'/min of a noxious gas as a by product. The gas is dangerous at concentrations greater than T, but harmless at concentrations
A chemical reaction in a laboratory with volume V (in ft) produces q, ft'/min of a noxious gas as a by product. The gas is dangerous at concentrations greater than T, but harmless at concentrations
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:5. A chemical reaction in a laboratory with volume V (in ft produces q, ft/min of
a noxious gas as a by product. The gas is dangerous at concentrations
greater than T, but harmless at concentrations < T. Intake fans at one end of
the laboratory pull in fresh air at the rate of q2 ft/min and exhaust fans at the
other end exhaust the mixture of gas and air from the laboratory at the same
rate. Assuming that the gas is always uniformly distributed in the room and its
initial condition co is at a safe level, find the smallest value of q2 required to
maintain safe conditions in the laboratory for all time.
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