GATE BT discipline:life-sciences PYQs & Answers — Page 6

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Questions 51–60 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 6 of 65

Consider the equation

. The value of the integral

using trapezoidal method and interval

is ________. (rounded off to two decimal places)

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If the straight lines given by the following two equations are parallel to each other, the value of a is _____. (answer in integer)

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A straight line

intersects a circle with center at

and radius of magnitude 1 at two points. The length of the chord formed by this intersection is ______. (rounded off to three decimal places)

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A heat exchanger during operation in a bioprocess has a steady temperature of 90 °C. After completion of its operation, it was shut down and it was observed that the rate of decrease of temperature at any time was directly proportional to the difference

°C, where

denotes temperature at time

. It was observed that it took 30 min for the temperature to drop to 70 °C. The temperature after 51.5 min will be ________ °C. (rounded off to the nearest integer)

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A microbial culture (follow Monod model for growth) has a maximum specific growth rate of 0.1 h

, Monod constant of 1 mg L

and endogenous decay rate of 0.1 day

. At limiting substrate concentration of 23 g L

, the net specific growth rate will be ________ day

. (rounded off to one decimal place)

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A CSTR with a volume of 100 m

is operated in cell recycle mode. At a volumetric flow rate of 10 m

day

and effluent biomass of 20 mg L

, the steady state biomass concentration is 200 mg L

. The mean cell retention time in the reactor is ____ days. (answer in integer)

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The electron equivalent per liter (e

eq L

) of acetate ion solution of concentration 10 g L

is ______ e

eq L

. (rounded off to one decimal place)

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From the following plot of

versus

and if y(2) = 5, the value of y(3) is ______. (rounded off to one decimal place)

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A batch sterilizer is being operated at 121 °C for sterilizing a medium containing microbial cells. Assume that the thermal inactivation of cells is a first order process with a death rate constant of 0.69 min

at 121 °C. If the initial concentration of microbes in the medium is 10

cells m

, the time taken to reduce the microbial load to a final concentration of 10 cells m

is ________ min. (rounded off to the nearest integer)

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A substrate is consumed in a zero order reaction such that its concentration falls from 42 g L

to 14 g L

in 4 hours. The total time taken for complete utilization of substrate will be ________ hours. (answer in integer)

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GATE BT discipline:life-sciences PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60