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GATE Chemical 2024 | Question: 41
Consider the line integral $\int_{C} \boldsymbol{F}(\boldsymbol{r}) \cdot d \boldsymbol{r}$, with $\boldsymbol{F}(\boldsymbol{r})=x \hat{\boldsymbol{\imath}}+y \hat{\bold...
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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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GATE Chemical 2024 | Question: 48
A metallic spherical particle of density $7001 \mathrm{~kg} \mathrm{~m}^{-3}$ and diameter $1 \mathrm{~mm}$ is settling steadily due to gravity in a stagnant gas of densi...
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GATE Chemical 2024 | Question: 1
The first non-zero term in the Taylor series expansion of $(1-x)-e^{-x}$ about $x=0$ is$1$$-1$$\frac{x^{2}}{2}$$-\frac{x^{2}}{2}$
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GATE Chemical 2024 | Question: 33
​​​Alumina particles with an initial moisture content of $5 \mathrm{~kg}$ per $\mathrm{kg}$ dry solid are dried in a batch dryer. For the first two hours, the measu...
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GATE Chemical 2024 | Question: 46
An isolated system consists of two perfectly sealed cuboidal compartments $A$ and $B$ separated by a movable rigid wall of cross-sectional area $0.1 \mathrm{~m}^{2}$ as s...
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GATE Chemical 2024 | Question: 52
A chemostat with cell recycle is shown in the figure. The feed flow rate and culture volume are $F=75 \mathrm{~L} \mathrm{~h}^{-1}$ and $V=200 \mathrm{~L}$, respectively....
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GATE Chemical 2024 | Question: 21
Consider the reaction $\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(g) \rightleftharpoons 2 \mathrm{NH}_{3}(g)$ in a continuous flow reactor under steady-state conditions...
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GATE Chemical 2024 | Question: 31
​​​​​Sulfur dioxide $\left(\mathrm{SO}_{2}\right)$ gas diffuses through a stagnant air-film of thickness $2 \mathrm{~mm}$ at 1 bar and $30^{\circ} \mathrm{C}$. ...
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GATE Chemical 2024 | Question: 10
​​​​​​The rate of a reaction $A \rightarrow B$ is $0.2 \mathrm{~mol} \mathrm{~m}^{-3} \mathrm{~s}^{-1}$ at a particular concentration $C_{A 1}$. The rate cons...
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GATE Chemical 2024 | Question: 22
Consider a binary mixture of components $A$ and $B$ at temperature $T$ and pressure $P$. Let $\bar{V}_{A}$ and $\bar{V}_{B}$ be the partial molar volumes of $A$ and $B$, ...
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GATE Chemical 2024 | Question: 3
If $z_{1}=-1+i$ and $z_{2}=2 i$, where $i=\sqrt{-1}$, then $\operatorname{Arg}\left(z_{1} / z_{2}\right)$ is$\frac{3 \pi}{4}$$\frac{\pi}{4}$$\frac{\pi}{2}$$\frac{\pi}{3}$...
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GATE Chemical 2024 | Question: 11
​​​​​Two parallel first-order liquid phase reactions $A \xrightarrow{k_{1}} B$ and $A \xrightarrow{k_{2}} C$ are carried out in a well-mixed isothermal batch re...
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GATE Chemical 2024 | Question: 51
Heat is available at a rate of $2 \mathrm{~kW}$ from a thermal reservoir at $400 \mathrm{~K}$. A two-stage process harnesses this heat to produce power. Stages $1$ and $2...
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GATE Chemical 2024 | Question: 26
​​​​Consider a steady, fully-developed, uni-directional laminar flow of an incompressible Newtonian fluid (viscosity $\mu$ ) between two infinitely long horizonta...
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GATE Chemical 2024 | Question: 18
For the electrolytic cell in a chlor-alkali plant, which of the following statements is/are correct?A membrane cell operates at a higher brine concentration than a diaphr...
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GATE Chemical 2024 | Question: 20
Consider a matrix $\text{A}=\left[\begin{array}{cc}-5 & a \\ -2 & -2\end{array}\right]$, where $a$ is a constant. If the eigenvalues of $\text{A}$ are $-1$ and $-6$, then...
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GATE Chemical 2024 | Question: 23
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 \mat...
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GATE Chemical 2024 | Question: 29
​​​​​A solid slab of thickness $H_{1}$ is initially at a uniform temperature $T_{0}$. At time $t=0$, the temperature of the top surface at $y=H_{1}$ is increase...
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GATE Chemical 2024 | Question: 19
​​​​​​Which of the following statements with reference to the petroleum/petrochemical industry is/are correct?Catalytic hydrocracking converts heavier hydroca...
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GATE Chemical 2024 | Question: 53
Consider the surge drum in the figure. Initially the system is at steady-state with a hold-up $\bar{V}=5 \mathrm{~m}^{3}$, which is $50 \%$ of full tank capacity, $V_{f u...
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GATE Chemical 2024 | Question: 44
Consider the process in the figure for manufacturing $B$. The feed to the process is $90 \mathrm{~mol} \% A$ and a close-boiling inert component $I$. At a particular stea...
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GATE Chemical 2024 | Question: 43
Consider the function $f(x, y, z)=x^{4}+2 y^{3}+z^{2}$. The directional derivative of the function at the point $P(-1,1,-1)$ along $(\hat{\boldsymbol{\imath}}+\hat{\bolds...
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GATE Chemical 2024 | Question: 42
Consider the ordinary differential equation $x^{2} \frac{d^{2} y}{d x^{2}}-x \frac{d y}{d x}-3 y=0$, with the boundary conditions $y(x=1)=2$ and $y(x=2)=17 / 2$. The solu...
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GATE Chemical 2024 | Question: 45
Methane combusts with air in a furnace as $\mathrm{CH}_{4}+2 \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+2 \mathrm{H}_{2} \mathrm{O}$. The heat of reaction $\Delta H_{r x ...
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GATE CH 2023 | GA Question: 7
To construct a wall, sand and cement are mixed in the ratio of $3: 1$. The cost of sand and that of cement are in ... (in rupees) of cement used? $400$ $600$ $800$ $200$
To construct a wall, sand and cement are mixed in the ratio of $3: 1$. The cost of sand and that of cement are in the ratio of $1:2.$If the total cost of sand and cement ...
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GATE CH 2023 | GA Question: 8
The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its ... funds for essentials such as food, fuel, and medicines.
The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an ad...
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GATE CH 2023 | GA Question: 6
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this ... (i) and (ii) (i), (ii) and (iii)
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that th...
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GATE CH 2023 | GA Question: 9
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to___________. $33$ $-3$ $30$ $21$
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to___________.$33$$-3$$30$$21$
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GATE CH 2023 | Question: 57
Distillation of a non-reactive binary mixture with components $A$ and $B$ is carried out in a batch ... the vessel is____________(rounded off to three decimal places).
Distillation of a non-reactive binary mixture with components $A$ and $B$ is carried out in a batch still as shown in the figure below. The initial charge of the mixture ...
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GATE CH 2023 | Question: 11
Which one of the following is the CORRECT value of $y,$ as defined by the expression given below? $y=\lim _{x \rightarrow 0} \frac{2 x}{e^x-1}$ $1$ $2$ $0$ $\infty$
Which one of the following is the CORRECT value of $y,$ as defined by the expression given below? $$y=\lim _{x \rightarrow 0} \frac{2 x}{e^x-1}$$$1$$2$$0$$\infty$
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GATE CH 2023 | GA Question: 4
In $2022,$ June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was ... time poets. Some Fields medalists have dropped out of college.
In $2022,$ June Huh was awarded the Fields medal, which is the highest prize in Mathematics.When he was younger, he was also a poet. He did not win any medals in the Inte...
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GATE CH 2023 | GA Question: 1
"You are delaying the completion of the task. Send _________ contributions at the earliest." you are your you're yore
"You are delaying the completion of the task. Send _________ contributions at the earliest."you areyour you're yore
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GATE CH 2023 | GA Question: 2
References : _______ : : Guidelines : Implement (By word meaning) Sight Site Cite Plagiarise
References : _______ : : Guidelines : Implement(By word meaning) Sight Site Cite Plagiarise
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GATE CH 2023 | GA Question: 5
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror ... (The figure is representative) $3$ $4$ $5$ $6$
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.The given fi...
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GATE CH 2023 | Question: 15
Which one of the following statements related to octane number is NOT correct? Linear alkanes with higher carbon ... Gasoline quality is measured in terms of octane number.
Which one of the following statements related to octane number is NOT correct?Linear alkanes with higher carbon number have higher octane number.Branching in linear alkan...
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GATE CH 2023 | Question: 36
An exhibition was held in a hall on $15$ August $2022$ between $\text{3 PM}$ and $\text{4 PM}$ during which any person was ... $\frac{2}{9}$ $\frac{7}{9}$
An exhibition was held in a hall on $15$ August $2022$ between $\text{3 PM}$ and $\text{4 PM}$ during which any person was allowed to enter only once. Visitors who entere...
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GATE CH 2023 | Question: 29
For a fully developed turbulent flow of an incompressible Newtonian fluid through a pipe of constant diameter, ... pressure gradient in the flow direction is constant.
For a fully developed turbulent flow of an incompressible Newtonian fluid through a pipe of constant diameter, which of the following statements is/are $\text{CORRECT?}$R...
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GATE CH 2023 | Question: 64
The purchase cost of a new distillation column is $\text{Rs. 10 lakhs}$ with an installation factor ... capital is________________ (rounded off to one decimal place).
The purchase cost of a new distillation column is $\text{Rs. 10 lakhs}$ with an installation factor of $5.8.$ The cost of the capital is to be annualized over a period of...
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GATE CH 2023 | Question: 40
Water in a container at $290 \mathrm{~K}$ is exposed to air containing $3 \% ~ \mathrm{CO}_2$ by volume. Air behaves like an ... $0.5 \times 10^{-4}$
Water in a container at $290 \mathrm{~K}$ is exposed to air containing $3 \% ~ \mathrm{CO}_2$ by volume. Air behaves like an ideal gas and is maintained at $100 ~ \mathrm...
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