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GATE Chemical 2024 | GA Question: 7
​​​​​Three distinct sets of indistinguishable twins are to be seated at a circular table that has $8$ identical chairs. Unique seating arrangements are defined ...
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GATE Chemical 2024 | GA Question: 2
​​​​​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...
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GATE Chemical 2024 | GA Question: 1
​​​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous ...
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GATE Chemical 2024 | GA Question: 10
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^{\circ}$, the ratio of th...
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GATE Chemical 2024 | Question: 8
Consider a vapour-liquid mixture of components $A$ and $B$ that obeys Raoult's law. The vapour pressure of $A$ is half that of $B$. The vapour phase concentrations of $A$...
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GATE Chemical 2024 | GA Question: 9
In the $4 \times 4$ array shown below, each cell of the first three columns has either a cross $(X)$ or a number, as per the given rule.\begin{array}{|l|l|l|l|}\hline 1 &...
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GATE Chemical 2024 | Question: 5
An infinitely long cylindrical water filament of radius $R$ is surrounded by air. Assume water and air to be static. The pressure outside the filament is $P_{\text {out }...
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GATE Chemical 2024 | GA Question: 8
The chart given below compares the Installed Capacity $\text{(MW)}$ of four power generation technologies, $\text{T1, T2, T3}$, and $\text{T4}$, and their Electricity Gen...
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GATE Chemical 2024 | GA Question: 6
​​​​​​In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.From the ancient Athenian arena to the modern Oly...
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GATE Chemical 2024 | Question: 55
Consider a tray-column of diameter $120 \mathrm{~cm}$. Each downcomer has a cross-sectional area of $575 \mathrm{~cm}^{2}$. For a tray, the percentage column cross-sectio...
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GATE Chemical 2024 | GA Question: 3
For positive integers $p$ and $q$, with $\frac{p}{q} \neq 1,\left(\frac{p}{q}\right)^{\frac{p}{q}}=p^{\left(\frac{p}{q}-1\right)}$. Then,$q^{p}=p^{q}$$q^{p}=p^{2 q}$$\sqr...
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GATE Chemical 2024 | Question: 4
​​​​​A homogeneous azeotropic distillation process separates an azeotropic $AB$ binary feed using a heavy entrainer, $E$, as shown in the figure. The loss of $E...
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GATE Chemical 2024 | Question: 32
​​​​​A simple distillation column separates a binary mixture of $A$ and $B$. The relative volatility of $A$ with respect to $B$ is $2$. The steady-state composi...
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GATE Chemical 2024 | GA Question: 5
​​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?$51...
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GATE Chemical 2024 | Question: 39
​​​​​For purchasing a batch reactor, three alternatives $\mathrm{P}, \mathrm{Q}$ and $\mathrm{R}$ have emerged, as summarized in the table. For a compound inter...
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GATE Chemical 2024 | GA Question: 4
​​​Which one of the given options is a possible value of $x$ in the following sequence?\[3,7,15, x, 63,127,255\]$35$$40$$45$$31$
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GATE Chemical 2024 | Question: 15
​​​​​In an ammonia manufacturing facility, the necessary hydrogen is generated from methane. The facility consists of the following process units -$\text{P}$: M...
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GATE Chemical 2024 | Question: 6
​​​​​The velocity field in an incompressible flow is $\boldsymbol{v}=\alpha x y \hat{\boldsymbol{\imath}}+v_{y} \hat{\boldsymbol{\jmath}}+\beta \widehat{\boldsy...
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GATE Chemical 2024 | Question: 25
The capital cost of a distillation column is Rs. $90$ lakhs. The cost is to be fully depreciated (salvage value is zero) using the double-declining balance method over $1...
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GATE Chemical 2024 | Question: 30
​​​​​​A gas stream containing $95 \mathrm{~mol} \% \mathrm{CO}_{2}$ and $5 \mathrm{~mol} \%$ ethanol is to be scrubbed with pure water in a counter-current, i...
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GATE Chemical 2024 | Question: 50
A Venturi meter with a throat diameter $d=2 \mathrm{~cm}$ measures the flow rate in a pipe of diameter $D=6 \mathrm{~cm}$, as shown in the figure. A U-tube manometer is c...
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GATE Chemical 2024 | Question: 13
​​​​​Consider the control structure for the overhead section of a distillation column shown in the figure. The composition controller (CC) controls the heavy ke...
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GATE Chemical 2024 | Question: 24
The opposite faces of a metal slab of thickness $5 \mathrm{~cm}$ and thermal conductivity $400 \mathrm{~W} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ are maintained at ...
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GATE Chemical 2024 | Question: 49
Water of density $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ is pumped at a volumetric flow rate of $3.14 \times 10^{-2} \mathrm{~m}^{3} \mathrm{~s}^{-1}$, through a pipe of inn...
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GATE Chemical 2024 | Question: 9
The ratio of the activation energy of a chemical reaction to the universal gas constant is $1000 \mathrm{~K}$. The temperature-dependence of the reaction rate constant fo...
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GATE Chemical 2024 | Question: 54
A $\text{PD}$ controller with transfer function $G_{c}$ is used to stabilize an open-loop unstable process with transfer function $G_{p}$, where\[G_{c}=K_{c} \frac{\tau_{...
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GATE Chemical 2024 | Question: 27
​​​​​​The temperatures of two large parallel plates of equal emissivity are $900 \mathrm{~K}$ and $300 \mathrm{~K}$. A reflection radiation shield of low emis...
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GATE Chemical 2024 | Question: 17
If the Prandtl number $\operatorname{Pr}=0.01$, which of the following statements is/are correct?The momentum diffusivity is much larger than the thermal diffusivity.The ...
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GATE Chemical 2024 | Question: 40
The Newton-Raphson method is used to solve $f(x)=0$, where $f(x)=e^{x}-5 x$.If the initial guess $x^{(0)}=1.0$, the value of the next iterate, $x^{(1)}$, rounded off to $...
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GATE Chemical 2024 | Question: 7
​​​​​Consider the steady, uni-directional diffusion of a binary mixture of $A$ and $B$ across a vertical slab of dimensions $0.2 \mathrm{~m} \times 0.1 \mathrm{...
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GATE Chemical 2024 | Question: 16
​​​​​​Consider a linear homogeneous system of equations $\text{Ax}=0$, where $\text{A}$ is an $n \times n$ matrix, $\text{x}$ is an $n \times 1$ vector and $0...
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GATE Chemical 2024 | Question: 35
​​​​​​A first-order liquid phase reaction $A \rightarrow B$ is carried out in two isothermal plug flow reactors (PFRs) of volume $1 \mathrm{~m}^{3}$ each, con...
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GATE Chemical 2024 | Question: 47
Ethylene obeys the truncated virial equation-of-state\[\frac{P V}{R T}=1+\frac{B P}{R T}\]where $P$ is the pressure, $V$ is the molar volume, $T$ is the absolute temperat...
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GATE Chemical 2024 | Question: 12
Consider the block diagram in the figure with control input $u$, disturbance $d$ and output $y$. For the feedforward controller, the ordered pair $(K, \alpha / \beta)$ is...
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GATE Chemical 2024 | Question: 36
​​​​The residence time distribution, $E$, for a non-ideal flow reactor is given in the figure. A first-order liquid phase reaction with a rate constant $0.2 \math...
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GATE Chemical 2024 | Question: 38
​​​​​​For the block diagram shown in the figure, the correct expression for the transfer function $G_{d}=\frac{y_{1}(s)}{d(s)}$ is$\frac{-G_{p 1} G_{c 2}}{\le...
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GATE Chemical 2024 | Question: 37
​​​​​​Let $r$ and $\theta$ be the polar coordinates defined by $x=r \cos \theta$ and $y=r \sin \theta$. The area of the cardioid $r=a(1-\cos \theta), 0 \leq \...
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GATE Chemical 2024 | Question: 2
Consider the normal probability distribution function\[f(x)=\frac{4}{\sqrt{2 \pi}} e^{-8(x+3)^{2}}\]If $\mu$ and $\sigma$ are the mean and standard deviation of $f(x)$ re...
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GATE Chemical 2024 | Question: 14
Which one of the given statements is correct with reference to gas-liquid contactors for mass transfer applications?A tray tower is more suitable for foaming systems than...
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GATE Chemical 2024 | Question: 34
A first-order heterogenous reaction $A \rightarrow B$ is carried out using a porous spherical catalyst. Assume isothermal conditions, and that intraphase diffusion contro...
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