GATE ES year:2021 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

, where

, then the value of the ratio

is ________ (answer in integer).

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Consider a function

which satisfies the following equation:

, and at

The value of

is ________ (answer in integer).

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The concentration of NO₂ in the air at NTP is reported as 0.30 ppm (ppm by volume). The concentration of NO₂ in μg/m³ is ________ (rounded off to the nearest integer).

[At NTP, temperature = 298 K, pressure = 1 atm, and one mole of ideal gas occupies 24.45 L]

[Molecular weight of NO₂ = 46 g/mol]

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In open channel flow, the specific energy is the total energy per unit weight of a fluid, where the component potential energy is measured from the bed of the channel as the datum.

A rectangular channel of 10 m width carries 20 m³/s of water. The depth of flowing water is 1 m. The specific energy for this flow condition is ________ m (rounded off to one decimal place).

Consider acceleration due to gravity (g) = 10 m/s².

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Two reservoirs are connected by a pipeline consisting of two pipes ‘A’ and ‘B’ in series. The two pipes are of same length and have the same Darcy friction factor. If the internal diameter of pipe ‘B’ is twice as large as the internal diameter of pipe ‘A’, the ratio of the head loss in pipe ‘A’ to that in pipe ‘B’ is ______ (answer in integer). Neglect all minor losses.

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In a field test of a geological formation of permeable soil (porosity = 20 %), the hydraulic gradient was found to be 2 %. The actual seepage velocity of the flow was found to be 0.0025 m/s. Assume that the flow is in the laminar regime. The permeability (K) of the aquifer is ______ m/s (rounded off to three decimal places).

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An underground hazardous waste storage tank is leaking. The contaminant concentration directly beneath the site is 0.5 mg/L. The contaminant is travelling at an effective rate of 0.4 m per day towards a water well which is 2 km away. Assume that the degradation of the contaminant follows a first order reaction, and the initial concentration of the contaminant becomes half in 10 years. In this case, the contaminant concentration expected at the well under steady state conditions is ______ mg/L (rounded off to two decimal places).

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The net profit expected from a manufacturing unit is ₹ 6000 per year. The operational life of the unit is 15 years. Assuming a fixed discount rate of 8 % per annum, the net present worth of the profit earned over the operational life is ₹ ______ (answer in integer).

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A 900 mm internal diameter sewer is laid at a slope of 0.004 and has an actual flow of 0.15 m³/s. Assuming Manning’s roughness coefficient to be 0.013, the ratio of the actual flow to the flow when the sewer is running full is ______ (rounded off to two decimal places). Take

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A 10 million litres per day (MLD) sewage treatment plant (STP) is based on the Activated Sludge Process (ASP). First, the sewage undergoes primary treatment and the resulting treated sewage has BOD₅ of 140 mg/L concentration. This is further passed through a 1500 m³ capacity aeration tank (in ASP), where the mixed liquor volatile suspended solids (MLVSS) concentration is maintained at 300 mg/L. The concentration of BOD₅ of the treated sewage is 5 mg/L. The Food to Microorganism ratio (F/M) of the ASP is ______ day⁻¹ (rounded off to two decimal places).

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GATE ES year:2021 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50