Chemical Engineering GATE 2024 Questions with Answer

Ques 40 Fluid Mechanics

Consider the steady, uni-directional, fully-developed, pressure-driven laminar flow of an incompressible Newtonian fluid through a circular pipe of inner radius 5.0 cm. The magnitude of shear stress at the inner wall of the pipe is 0.1 N m⁻². At a radial distance of 1.0 cm from the pipe axis, the magnitude of the shear stress, in N m⁻², rounded off to 3 decimal places, is __________

Ques 41 Fluid Mechanics

Consider a steady, fully-developed, uni-directional laminar flow of an incompressible Newtonian fluid (viscosity μ) between two infinitely long horizontal plates separated by a distance 2H as shown in the figure. The flow is driven by the combined action of a pressure gradient and the motion of the bottom plate at y = −H in the negative x direction. Given that ΔP_L = (P₁ − P₂) / L > 0, where P₁ and P₂ are the pressures at two x locations separated by a distance L. The bottom plate has a velocity of magnitude V with respect to the stationary top plate at y = H. Which one of the following represents the x-component of the fluid velocity vector?

Ques 42 Fluid Mechanics

Water of density 1000 kg m⁻³ is pumped at a volumetric flow rate of 3.14×10⁻² m³ s⁻¹, through a pipe of inner diameter 10 cm and length 100 m, from a large Reservoir 1 to another large Reservoir 2 at a height 50 m above Reservoir 1, as shown in the figure. The flow in the pipe is in the turbulent regime with a Darcy friction factor f = 0.06, and a kinetic energy correction factor α = 1. Take g = 9.8 m s⁻². If all minor losses are negligible, and the pump efficiency is 100%, the pump power, in kW, rounded off to 2 decimal places, is ______

Ques 43 Fluid Mechanics

A Venturi meter with a throat diameter d = 2 cm measures the flow rate in a pipe of diameter D = 6 cm, as shown in the figure. A U-tube manometer is connected to measure the pressure drop. Assume the discharge coefficient is independent of the Reynolds number and geometric ratios. If the volumetric flow rate through the pipe is doubled, Q₂ = 2Q₁, the corresponding ratio of the manometer readings Δh₂ / Δh₁, rounded off to the nearest integer, is _______

Ques 44 Fluid Mechanics

Heat is available at a rate of 2 kW from a thermal reservoir at 400 K. A two-stage process harnesses this heat to produce power. Stages 1 and 2 reject heat at 360 K and 300 K, respectively. Stage 2 is driven by the heat rejected by Stage 1. If the overall process efficiency is 50% of the corresponding Carnot efficiency, the power delivered by the process, in kW, rounded off to 2 decimal places, is ______

Ques 45 General Aptitude

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

Ques 46 General Aptitude

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 47 General Aptitude

For positive integers p and q, with p/q ≠ 1, ( p/q )^p/q ≡ p^{(p/q − 1)}. Then,

Ques 48 General Aptitude

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

Ques 49 General Aptitude

On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?

Ques 50 General Aptitude

In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks.
From the ancient Athenian arena to the modern Olympic stadiums, athletics (i) ______ the potential for a spectacle. The crowd (ii) ______ with bated breath as the Olympian artist twists his body, stretching the javelin behind him.
Twelve strides in, he begins to cross-step. Six cross-steps (iii) ______ in an abrupt stop on his left foot. As his body (iv) ______ like a door turning on a hinge, the javelin is launched skyward at a precise angle.

Ques 51 General Aptitude

Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people. How many unique seating arrangements are possible such that each person is sitting next to their twin?

Ques 52 General Aptitude

The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h).