GATE BT kind:question PYQs & Answers — Page 58

Questions 571–580 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 58 of 65

Calculate the following integral (up to two decimal places)

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The probability distribution for a discrete random variable

is given below.

	1	2	3	4
	0.3	0.4	0.2	0.1

The expectation value of

is (up to one decimal place)

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, then,

(up to two decimal places)

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Moist heat sterilization of spores at 121 °C follows first order kinetics as per the expression:

where, N is the number of viable spores, t is the time, k_d is the rate constant and

is the rate of change of viable spores. If

value is 1.0 min⁻¹, the time (in minutes) required to reduce the number of viable spores from an initial value of

to a final value of 1 is (up to two decimal places)

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An aqueous solution containing 6.8 mg/L of an antibiotic is extracted with amyl acetate. If the partition coefficient of the antibiotic is 70 and the ratio of water to solvent is 85, then the extraction factor is

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A microbial strain is cultured in a 100 L stirred fermenter for secondary metabolite production. If the specific rate of oxygen uptake is 0.4 h⁻¹ and the oxygen solubility in the broth is 8 mg/L, then the volumetric mass transfer coefficient (

) (in s⁻¹) of oxygen required to achieve a maximum cell concentration of 12 g/L is (up to two decimal places)

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In a chemostat, the feed flow rate and culture volume are 100 ml/h and 1.0 L, respectively. With glucose as substrate, the values of

and

are 0.2 h⁻¹ and 1 g/L, respectively. For a glucose concentration of 10 g/L in the feed, the effluent substrate concentration (in g/L) is

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Mammalian cells in active growth phase were seeded at a density of 1×10⁵ cells/ml. After 72 hours, 1×10⁶ cells/ml were obtained. The population doubling time of the cells in hours is (up to two decimal places)

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Yeast converts glucose to ethanol and carbon dioxide by glycolysis as per the following reaction:

Assuming complete conversion, the amount of ethanol produced (in g) from 200 g of glucose is (up to two decimal places)

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At the end of a batch culture, glucose solution is added at a flow rate of 200 ml/h. If the culture volume after 2 h of glucose addition is 1000 ml, the initial culture volume (in ml) is

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GATE BT kind:question PYQs

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