GATE ES purpose:exam-prep PYQs & Answers — Page 25 — Exam Papers

Questions 241–250 of 390. Imported answers require independent review unless marked reviewed.

Topic practice 390 questionsPage 25 of 39

Products P and Q have life cycle phases of material extraction, production, use, and end of life disposal. CH

, CO

emissions and mass used per functional unit (f.u.) from the different phases of the products are given in the following tables.

Product P

Phase	CO emissions, kg/tonne	CH emissions, kg/tonne	Mass, tonne/functional unit (f.u.)
Material Extraction	1.0	0.75	4.0
Production	1.5	1.0	2.0
Use	0.5	0.0	1.0
End of life disposal	1.0	0.25	1.0

Product Q

Phase	CO emissions, kg/tonne	CH emissions, kg/tonne	Mass, tonne/functional unit (f.u.)
Material Extraction	0.75	0.75	3.0
Production	0.25	1.0	2.5
Use	0.0	0.5	0.75
End of life disposal	2.0	0.0	0.75

Based upon the information given in the tables and using global warming potential of CH

equal to 23 kg of CO

per kg of CH

, which of the following statement(s) is/are true?

Your answerSelect all correct options. You can choose more than one.

A.

Greenhouse gas emissions (kg CO

equivalent/f.u.) from the ‘Material extraction’ phase of product P is higher than that of product Q.

B.

Greenhouse gas emissions (kg CO

equivalent/f.u.) from the ‘Production phase’ of product Q is higher than that of product P.

C.

Greenhouse gas emissions (kg CO

equivalent/f.u.) from the ‘End of life disposal’ is higher for product Q than that of product P.

D.

Greenhouse gas emissions (kg CO

equivalent/f.u.) from the ‘complete life cycle’ of the product P is higher than that of product Q.

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Second order ordinary differential equation

has values

and

at

. The value of y at x=1 is __________________ (rounded off to three decimal places).

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Consider two matrices

and

. If

then det R is __________________ (in integer).

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For the function

, the maximum value in the range

is __________________ (rounded off to two decimal places).

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The solubility of gas A is 16 mg/L in water and its vapor pressure is 0.042 atm at 25 °C. In a closed system, the gas phase concentration of A is

mol/L. Assuming Ideal gas constant (R) value as 0.0821 L-atm/mol-K, the concentration of gas A in water at 25 °C is __________ (in mg/L, rounded off to two decimal places).

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The following figure (not to the scale) shows a catchment (Q, S, U, T, Q) and adjoining raingauge stations P, Q, R, S, U and V. Due to a storm, 20 mm, 25 mm, 30 mm, 15 mm, 22 mm and 18 mm rainfall depths were recorded by raingauges at P, Q, R, S, U and V, respectively.

The corresponding mean rainfall over the catchment using Thiessen polygon method is __________ (in mm, rounded off to two decimal places).

Diagram for Environmental Science and Engineering question 51

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A trapezoidal canal lined with cement concrete (n = 0.01) is designed to carry a discharge of 20 m

/s at a bed slope 1 in 400. If the bed width is twice the depth of flow and side slope of the canal section is 2 (1 vertical: 2 horizontal) then the corresponding depth of flow will be __________ (in m, rounded off to two decimal places).

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A plunger weighing 314 kN is balanced in a cylindrical vessel of diameter 1.5 m and filled with an oil (specific gravity 0.9) as shown in the following figure (not to the scale).

If a pressure gauge is connected with the vessel using 1.5 cm diameter tube, the reading of the gauge will be __________ (in kPa, rounded off to two decimal places).

Diagram for Environmental Science and Engineering question 53

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A fully penetrating well is installed in a homogeneous and isotropic confined aquifer. The aquifer has uniform thickness of 16 m and hydraulic conductivity of 25 m/d. Water is being pumped out from the well at a constant rate of 0.1 m

/s till steady state condition is reached. If a drawdown of 3.5 m is observed at a distance of 75 m from the well then the drawdown at a distance of 150 m from the well will be ________________ (in m, rounded off to two decimal places).

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A biological reactor is getting wastewater containing 1 mole/L acetate ions as carbon source. The following reaction takes place in the bio-reactor:

Assume that all acetate ions are consumed and ammonia serves as a nutrient source. Given that 1 g acetate exerts 1.07 g COD; 1 mole bacteria =113 g VSS; 1 mole acetate ion = 59 g. Value of observed yield is ________________ (in g VSS/g COD, rounded off to two decimal places).

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