#Question id: 40561
#Unit 12. Biochemical Engineering
Which of the following functions has the highest area under the curve between 𝑥 = 0 and 𝑥 = 10?
#Question id: 40563
#Unit 12. Biochemical Engineering
The transfer function of a Proportional-Integral (PI) controller 𝐺𝐶(𝑠) is given by
where 𝐾𝐶 is the controller gain, 𝜏𝐼 is the controller integral time constant and s is the Laplace variable. The role of the integral component of the controller is to ____________.
#Question id: 40588
#Unit 12. Biochemical Engineering
By elemental analysis of a biomass sample, it was found that the cells in the given sample are composed of (by weight) C=50%, H=8%, O=20%, N=10% and ash content=12%. Which of the following is the correct empirical formula of the ashfree cells, normalized with respect to Nitrogen?
#Question id: 31568
#Unit 12. Biochemical Engineering
Let 𝑦(𝑡) be a bacterial population whose growth is given by 
where 𝜆 is the growth rate constant. If 𝑦(0) = 1 and 𝑦(1) = 4, then the value of
𝜆 is
#Question id: 31569
#Unit 12. Biochemical Engineering
The minimum value of the function 
for 𝑥 > 0 is
#Question id: 31612
#Unit 12. Biochemical Engineering
The output 𝑦(𝑡) of a first-order process is governed by the following differential
equation 
where 𝜏𝑝 is a non-zero time constant, 𝐾𝑝 is the gain and 𝑓(𝑡) is the input with
𝑓(0) = 0.
Assume 𝑦(0) = 0. The transfer function for this process is (consider 𝑠 as the
independent variable in the Laplace domain)