A 200-1itre stirred fermenter contains a batch culture of Bacillus subtilis bacteria at 28⁰C Air at 20⁰C is pumped into the vessel at a rate of 1 vvm; (vvm stands for volume of gas per volume of liquid per minute). The average pressure in the fermenter is 1 atm. The volumetric flow rate of off-gas from the fermenter is measured as 189 l min^-1. The exit gas stream is analysed for oxygen and is found to contain 20.1% 0₂. The dissolved-oxygen concentration in the broth is measured using an oxygen electrode as 52% air saturation. The solubility of oxygen in the fermentation broth at 28⁰C and 1 atm air pressure is 7.8 x 10^-3 kg m^-3. Calculate the oxygen transfer rate_____________

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#Question id: 14516

#Section 1: Engineering Mathematics

The probability that a man aged 50 years will die within a year is 0.01125. The probability that out of 12 such men at least 11 will reach their fifty first birthday.

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#Question id: 14517

#Section 1: Engineering Mathematics

The probability that a certain beginner at golf gets a good shot if he uses the correct club is 1/3 and the probability of a good shot with an incorrect club is 1/4. In his bag are 5 different clubs, only one of which is correct for the shot in question. If he chooses a club at random and takes a stroke, the probability that he gets a good shot is

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#Question id: 14518

#Section 1: Engineering Mathematics

From a pack of cards two are drawn, the first being replaced before the second is drawn. The probability that the first is a diamond and the second is a king is

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#Question id: 14519

#Section 1: Engineering Mathematics

One of the two mutually exclusive events must occur, if the chance of one is 2/3 of the other, then odds in favour of the other are

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#Question id: 14520

#Section 1: Engineering Mathematics

Given =1/3 and 2/3 then P(B) is

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#Question id: 14521

#Section 1: Engineering Mathematics

There are 64 beds in a garden and 3 seeds of a particular type of flower are sown in each bed. The probability of a flower being white is 1/4. The number of beds with 3, 2, 1, and 0 white flowers is respectively