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(Solved): A composition sensor is used to continuously monitor the contaminant level in a liquid stream. The d ...
A composition sensor is used to continuously monitor the contaminant level in a liquid stream.
The dynamic behavior of the sensor can be described by a first-order transfer function with a
time constant of 12 seconds.
(C_(m)^(')(s))/(C^(')(s))=(1)/(12s+1)
where C^(') is the actual contaminant concentration and C_(m)^(')C^(')=C(-)/(b)ar (C) C and C_(m) have concentration values of 9
ppm, nominally.
An alarm sounds if the measured value exceeds the environmental value of 14 ppm . Suppose
that the contaminant concentration C gradually increases according to the expression:
C(t)=9+0.6t
where t is expressed in seconds.
a. How long (in seconds) will it take for the actual concentration of the contaminant in the
liquid stream to reach 14 ppm ?
b. How long (in seconds) will it take for the measured concentration of the contaminant in the
liquid stream to reach 14 ppm? Hint: Use Excel Solver.
c. How long (in seconds) will it take after the actual concentration of the contaminant in the
liquid stream has reached 14 ppm for the alarm to sound?