Civil Engineering Gate 2024 Set-1 Questions with Answer

Ques 14 GATE 2024 SET-1

A 2 m x 2 m tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At t=0, an inflow of a salt solution of concentration 5 g/m³ at the rate of 2 litre/s and an outflow of the well stirred mixture at the rate of 1 litre/s are initiated. This process can be modelled using the following differential equation:
^dm⁄_dt + ^m⁄_6000+t = 0.01
where m is the mass (grams) of the salt at time t (seconds). The mass of the salt (in grams) in the tank at 75% of its capacity is _______. (rounded off to 2 decimal places).

Ques 15 GATE 2024 SET-1

The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation techniques. _______

Ques 16 GATE 2024 SET-1

The primary air pollutant(s) is/are _______.

Ques 17 GATE 2024 SET-1

For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of air pollutants. The emission standard (based on 11% Oxygen) for HCl is 50 mg/Nm³ and the measured concentrations of HCl and Oxygen in flue gas are 42 mg/Nm³ and 13%, respectively.
Assuming 21% Oxygen in air, the CORRECT statement is: _______.

Ques 18 GATE 2024 SET-1

Activated carbon is used to remove a pollutant from wastewater in a mixed batch reactor, which follows first-order reaction kinetics.
At a reaction rate of 0.38/day, the time (in days) required to remove the pollutant by 95% is _______. (rounded off to 1 decimal place).

Ques 19 GATE 2024 SET-1

A water treatment plant treats 25 MLD water with a natural alkalinity of 4.0 mg/L (as CaCO₃). It is estimated that, during coagulation of this water, 450 kg/day of calcium bicarbonate (Ca(HCO₃)₂) is required based on the alum dosage.
Consider the atomic weights as: Ca-40, H-1, C-12, 0-16.
The quantity of pure quick lime, CaO (in kg) required for this process per day is _______. (rounded off to 2 decimal places).

Ques 20 GATE 2024 SET-1

The number of degrees of freedom for a natural open channel flow with a mobile bed is _______.

Ques 21 GATE 2024 SET-1

A flow velocity $vec{V}$: $vec{V}$(x,y)
in the x-y plane is given by $vec{V}$=3î+(5x)ĵ. In the given flow field,
which one of the following statements is TRUE?

Ques 22 GATE 2024 SET-1

A 4 m x 5 m closed tank of 10 m height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use γ_w = 10 kN/m³ and Specific gravity of oil = 0.8. The total force (in kN) due to hydrostatic pressure on the side PQR of the tank is _______. (rounded off to the nearest integer).

Ques 23 GATE 2024 SET-1

If →' denotes increasing order of intensity, then the meaning of the words [simmer → seethe→ smolder] is analogous to [break → fracture→ _______]. Which one of the given options is appropriate to fill the blank?

Ques 24 GATE 2024 SET-1

In a locality, the houses are numbered in the following way:
The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road.
If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is _______.

Ques 25 GATE 2024 SET-1

For positive integers p and q, with
^p⁄_q ≠ 1,(^p⁄_q)^p⁄_q=p^(p⁄_q-1). Then, _______.

Ques 26 GATE 2024 SET-1

Which one of the given options is a possible value of x in the following sequence?
3, 7, 15, x, 63, 127, 255