Ethanol is to be used as a substrate for single-cell protein production in a chemostat. The available equipment can achieve an oxygen transfer rate of 10 g O₂/l of liquid per hour. Assume the kinetics of cell growth on ethanol is of the Monod type, with µm = 0.5 h^–1, K_s = 30 mg/l, YX/S = 0.5 cells/g ethanol, and YO2/S = 2 g O2/g EtOH. We wish to operate the chemostat with an ethanol concentration in the feed of 22 g/L. We also wish to maximize the biomass productivity and minimize the loss of unused ethanol in the effluent. Determine the required dilution rate

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#Question id: 14695

#Section 1: Engineering Mathematics

From a bag containing 4 white and 5 black balls a man draws 3 at random. Then the probability that all 3 are black is

TLS Online TPP Program

#Question id: 14696

#Section 1: Engineering Mathematics

Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls, one ball is drawn at random from urn A and placed in urn B. Then one ball drawn at random from urn B and placed in urn A. If one ball is now drawn from urn A, the probability that it is found to be red is

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#Question id: 14697

#Section 1: Engineering Mathematics

Two persons each make a single throw with a dice. The probability they get equal value is P1. Four persons each make a single throw and probability of three being equal is P2. Then

TLS Online TPP Program

#Question id: 14698

#Section 1: Engineering Mathematics

A bag has 13 red, 14 green and 15 black balls. The probability of getting exactly 2 blacks on pulling out 4 balls is P1. Now the number of each colour ball is doubled and 8 balls are pulled out.The probability of getting exactly 4 blacks is P2. Then

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#Question id: 14699

#Section 1: Engineering Mathematics

If A and B are arbitrary events, then

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#Question id: 14700

#Section 1: Engineering Mathematics

One mapping is selected at random from all the mappings from the set S = {1,2,3,...n} into itself. The probability that the selected mapping is one to one is