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GATE CH 2022 | Question: 1
The value of $(1 + i)^{12}$, where $i = \sqrt{-1}$, is $-64i$ $64i$ $64$ $-64$

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GATE CH 2022 | Question: 2
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$ ... is $(1, 1)$ $(1, 2)$ $(2, 2)$ $(2, 1)$

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GATE CH 2022 | Question: 3
Let $f\left ( x \right ) = e ^{-\left |x \right |}$, where $x$ is real. The value of $\dfrac{df}{dx}$ at $x = -1$ is $-e$ $e$ $\frac{1}{e}$ $\frac{-1}{e}$

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GATE CH 2022 | Question: 4
The value of the real variable $x \geq 0$, which maximizes the function $f\left ( x \right ) = x^{e} e ^{-x}$ is $e$ $0$ $\frac{1}{e}$ $1$

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GATE CH 2022 | Question: 5
For a single component system at vapor-liquid equilibrium, the extensive variables $\text{A,V, S and N}$ denote the Helmholtz free ...

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GATE CH 2022 | Question: 6
Consider turbulent flow in a pipe under isothermal conditions. Let $r$ denote the radial coordinate ... Decreases and then increases Remains unchanged Only increases

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GATE CH 2022 | Question: 7
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the ... $4W_{1}$ $W_{1}$ $0.5W_{1}$

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GATE CH 2022 | Question: 8
In soap manufacturing, the triglycerides present in oils and fats are hydrolyzed to mainly produce Fatty ... glycerol Glycerol only Fatty acids only Glycerol and paraffins

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GATE CH 2022 | Question: 9
The chemical formula of Glauber’s salt, used in the Kraft process, is $Na_{2}CO_{3}.10H_{2}O$ $Na_{2}S_{2}O_{4}.2H_{2}O$ $Na_{2}HPO_{4}.2H_{2}O$ $Na_{2}SO_{4}.10H_{2}O$

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GATE CH 2022 | Question: 10
Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The ... of naphthenes Isomerization of naphthenes Cyclization of paraffins

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GATE CH 2022 | Question: 11
A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool ... $\text{LC}$ : Direct, $\text{TC}$ : Direct

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GATE CH 2022 | Question: 12
Liquid flowing through a heat exchanger $\text{(HX)}$ is heated. A bypass stream is provided to ... large disturbances while avoiding vaporization in the heat exchanger is

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GATE CH 2022 | Question: 13
The appropriate feedforward compensator, $G_{ff}$ ...

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GATE CH 2022 | Question: 14
Choose the option that correctly pairs the given measurement devices with the quantities they measure. ...

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GATE CH 2022 | Question: 15
A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given ... $RR >> RR_{\text{min}}$

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GATE CH 2022 | Question: 16
The reaction $A \rightarrow B$ is carried out isothermally on a porous catalyst. The intrinsic reaction rate is $kC_{A}^{2}$ ... is $1$ $2$ $\frac{3}{2}$ $\sqrt{2}$

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GATE CH 2022 | Question: 17
In an enzymatic reaction, an inhibitor $(I)$ competes with the substrate $(S)$ to bind with the enzyme $(E)$, thereby reducing the rate ... A. B. C. D.

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GATE CH 2022 | Question: 18
The area of a circular field is $25\: m^{2}$. The radius, $r$, is to be determined using the Newton ... iteration is ____________ $m$ (rounded off to three decimal places).

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GATE CH 2022 | Question: 19
$5$ moles of liquid benzene, $8$ moles of liquid toluene and $7$ moles of liquid xylene are mixed at $25^{\circ}C$ ... $J\:K^{-1}$ (rounded off to one decimal place).

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GATE CH 2022 | Question: 20
A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at ... (rounded off to two decimal places).

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GATE CH 2022 | Question: 21
Consider steady-state diffusion in a binary $\text{A-B}$ liquid at constant temperature and pressure. The mole ... is _________________ (rounded off to one decimal place).

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GATE CH 2022 | Question: 22
Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer ... (rounded off to one decimal place).

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GATE CH 2022 | Question: 23
A wet solid containing $20\%$ $\text{(w/w)}$ moisture (based on mass of bone-dry solid) is dried in a tray-dryer. ... $\text{(w/w)}$ (rounded off to one decimal place).

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GATE CH 2022 | Question: 24
A process described by the transfer function ... ) is __________________ (rounded off to the nearest integer).

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GATE CH 2022 | Question: 25
A compressor with a lite of $10$ years costs Rs $10$ ... compressor is Rs _______________ lakhs (rounded to first decimal place)

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GATE CH 2022 | Question: 26
The partial differential equation $\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$ where ... $1$ $e$ $\pi$ $\frac{1}{e}$

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GATE CH 2022 | Question: 27
$N$ moles of an ideal gas undergo a two-step process as shown in the figure. Let $\text{P, V and T}$ denote the pressure, volume ... $P_{2}V_{2} - P_{1}V_{1}$

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GATE CH 2022 | Question: 28
A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ ... is $30 \pi$ $10 \pi$ $20 \pi$ $5 \pi$

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GATE CH 2022 | Question: 29
Consider a horizontal rod of radius $aR (a < 1)$ in a stationary pipe of radius $R$. The rod is pulled coaxially at a constant ... $0$ $-\frac{\pi \mu V} {\text{ln}(a)}$

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GATE CH 2022 | Question: 30
Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ ... places, is $0.02$ $0.04$ $0.10$ $0.01$

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GATE CH 2022 | Question: 31
Two large parallel planar walls are maintained at $1000\:K$ and $500\:K$. Parallel radiation shields are to be installed between the ... the walls is (are) $1$ $0$ $2$ $3$

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GATE CH 2022 | Question: 32
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge ... $\frac{3}{4}$ $3$

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GATE CH 2022 | Question: 33
Match the product in Group-$1$ with the manufacturing process in Group-$2$ ... $\text{P-I, Q-IV, R-II, S-III}$

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GATE CH 2022 | Question: 34
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ ... is _________________ (rounded off to two decimal places).

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GATE CH 2022 | Question: 35
Consider a sphere of radius $4$, centered at the origin, with outward unit normal $\hat{n}$ on its surface ... is _________________ (rounded off to one decimal places)

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GATE CH 2022 | Question: 36
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is ... $x = 0.5$ is _____________________ (rounded off to three decimal places).

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GATE CH 2022 | Question: 37
A substance at $4^{\circ}C$ ... (rounded off to the nearest integer).

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GATE CH 2022 | Question: 38
The molar excess Gibbs free energy $(g^{E})$ of a liquid mixture of $A$ and $B$ ... $1$ bar is ___________________ (rounded off to the nearest integer).

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GATE CH 2022 | Question: 39
For a pure substance, the following data at saturated conditions are given: ... $\text{kJ/mol}$ (rounded off to one decimal place).

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GATE CH 2022 | Question: 40
Consider the process flowsheet in the figure. An irreversible liquid-phase reaction $A \rightarrow B$ ... (rounded off to two decimal places).

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