GATE CE discipline:civil-and-environmental-engineering PYQs & Answers — Page 102

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Questions 1011–1020 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 102 of 130

A 0.80 m deep bed of sand filter (length 4 m and width 3 m) is made of uniform particles (diameter = 0.40 mm, specific gravity = 2.65, shape factor = 0.85) with bed porosity of 0.4. The bed has to be backwashed at a flow rate of 3.60 m³/min. During backwashing, if the terminal settling velocity of sand particles is 0.05 m/s, the expanded bed depth (in m, round off to 2 decimal places) is ________.

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Raw municipal solid waste (MSW) collected from a city contains 70% decomposable material that can be converted to methane. The water content of the decomposable material is 35%. An elemental analysis of the decomposable material yields the following mass percent.\n\nC : H : O : N : other = 44 : 6 : 43 : 0.8 : 6.2\n\nThe methane production of the decomposable material is given by the following stoichiometric relation\n\n

\n\nGiven atomic weights: C = 12, H = 1, O = 16, N = 14. The mass of methane produced (in grams, round off to 1 decimal place) per kg of raw MSW will be __________

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A wastewater is to be disinfected with 35 mg/L of chlorine to obtain 99% kill of micro-organisms. The number of micro-organisms remaining alive (

) at time

, is modeled by

, where

is number of micro-organisms at

, and

is the rate of kill. The wastewater flow rate is 36 m³/h, and

. If the depth and width of the chlorination tank are 1.5 m and 1.0 m, respectively, the length of the tank (in m, round off to 2 decimal places) is ________.

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Consider the reactor shown in the figure. The flow rate through the reactor is

. The concentrations (in

) of a compound in the influent and effluent are

and

, respectively. The compound is degraded in the reactor following the first order reaction. The mixing condition of the reactor can be varied such that the reactor becomes either a completely mixed flow reactor (CMFR) or a plug-flow reactor (PFR). The length of the reactor can be adjusted in these two mixing conditions to

and

while keeping the cross-section of the reactor constant. Assuming steady state and for

, the value of

(round off to 2 decimal places) is __________

Diagram for Civil Engineering question 42

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A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50 m from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of 0.400 m and 2.400 m are found to be the same. Taking the height of the instrument as 1.400 m, the RL (in m) of the theodolite station is ________.

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A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of 6

are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87 and 1.15

. The area (in

, round off to 2 decimal places) bounded by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is __________

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Consider the ordinary differential equation

. Given the values of y(1) = 0 and y(2) = 2, the value of y(3) (round off to 1 decimal place), is ________.

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The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are 20 and 50 vehicles/minute, respectively. For this signal, the red time is 30

, the effective green time is 30

, and the cycle length is 60

. Assuming that initially there are no vehicles in the queue, the average delay per vehicle using the approach road during a cycle length (in

, round off to 2 decimal places) is __________

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Average free flow speed and the jam density observed on a road stretch are 60 km/h and 120 vehicles/km, respectively. For a linear speed-density relationship, the maximum flow on the road stretch (in vehicles/h) is ________.

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A broad gauge railway line passes through a horizontal curved section (radius = 875

) of length 200

. The allowable speed on this portion is 100

. For calculating the cant, consider the gauge as centre-to-centre distance between the rail heads, equal to 1750

. The maximum permissible cant (in

, round off to 1 decimal place) with respect to the centre-to-centre distance between the rail heads is __________

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GATE CE discipline:civil-and-environmental-engineering PYQs

Question 41

Question 41

Question 42

Question 42

Question 43

Question 43

Question 44

Question 44

Question 45

Question 45