A fluidized-bed, immobilized-cell bioreactor is used for the conversion of glucose to ethanol by Z. mobilis cells immobilized in k-carrageenan gel beads. The dimensions of the bed are 10 cm (diameter) by 200 cm. Since the reactor is fed from the bottom of the column and because of CO₂ gas evolution, substrate and cell concentrations decrease with the height of the column. The average cell concentration at the bottom of the column is X₀ = 45 g/l, and the average cell concentration decreases with the column height according to the following equation:

                             

where Z is the column height (cm). The specific rate of substrate consumption is q_S = 2 g S/g cells. h. The feed flow rate and glucose concentration in the feed are 5 l/h and 160 g glucose/l, respectively.

Determine the substrate (glucose) concentration in the effluent

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#Question id: 14687

#Section 1: Engineering Mathematics

Find the probability of drawing one rupee coin from a purse with two compartments one of which contains 3 fifty paisa coins and 2 one-rupee coins and the other contains 2 fifty paisa coins and 3 one rupee coins.

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#Question id: 14688

#Section 1: Engineering Mathematics

If A and B are two events such that  = 1/ 2 then the events A and B are

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#Question id: 14689

#Section 1: Engineering Mathematics

A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that value of the determinant chosen is

positive is

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#Question id: 14690

#Section 1: Engineering Mathematics

One hundred identical coins each with probability p of showing up heads are tossed. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of the heads showing in 51 coins, then the value of p is

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#Question id: 14691

#Section 1: Engineering Mathematics

In a shooting competition, the probability of hitting the target by A is 2/5, by B is 2/3 and by C is 3/5. If all of them fire independently at the same target, calculate the probability that only one of them will hit the target.

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#Question id: 14692

#Section 1: Engineering Mathematics

A box contains 6 white balls and 3 black balls and another box contains 4 white balls and 5 black balls. The probability that a ball selected from one of the box again selected at random is a white ball.