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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) $1$ $0$ $2$ $3$
Two large parallel planar walls are maintained at $1000\:K$ and $500\:K$. Parallel radiation shields are to be installed between the two walls. Assume that the emissiviti...
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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 ... $RR >> RR_{\text{min}}$
A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given column pressure. It $RR_{\text{min}}$...
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GATE CH 2022 | Question: 28
A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ ... is $30 \pi$ $10 \pi$ $20 \pi$ $5 \pi$
A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ strikes a vertical solid plate with a hole of diameter $D_{2} = 1\:cm$, as shown in the figure. A part of ...
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GATE CH 2022 | Question: 49
Consider the tank level control system shown in the figure, where the cross-section area of the tank is ... is _____________________ (rounded off to the nearest integer).
Consider the tank level control system shown in the figure, where the cross-section area of the tank is $A$. Assume perfect flow controllers $\text{(FC)}$. The level cont...
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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).
The area of a circular field is $25\: m^{2}$. The radius, $r$, is to be determined using the Newton-Raphson iterative method. For an initial guess of $r = 2.500\: m$, the...
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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).
A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at $100^{\circ}C$ and leaves as saturated water at $1...
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GATE CH 2022 | Question: 14
Choose the option that correctly pairs the given measurement devices with the quantities they measure. ...
Choose the option that correctly pairs the given measurement devices with the quantities they measure.$$\begin{array}{ccc} \hline\text{S No} & \text{Measurement Device} &...
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GATE CH 2022 | Question: 27
$N$ moles of an ideal gas undergo a two-step process as shown in the figure. Let $\text{P, V and T}$ denote the pressure, volume ... $P_{2}V_{2} - P_{1}V_{1}$
$N$ moles of an ideal gas undergo a two-step process as shown in the figure. Let $\text{P, V and T}$ denote the pressure, volume and temperature of the gas, respectively....
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GATE CH 2022 | Question: 12
Liquid flowing through a heat exchanger $\text{(HX)}$ is heated. A bypass stream is provided to ... large disturbances while avoiding vaporization in the heat exchanger is
Liquid flowing through a heat exchanger $\text{(HX)}$ is heated. A bypass stream is provided to control the temperature of the heated exit stream. From the given plumbing...
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GATE CH 2022 | Question: 13
The appropriate feedforward compensator, $G_{ff}$ ...
The appropriate feedforward compensator, $G_{ff}$, in the shown block diagram is$G_{ff} = \dfrac{2}{3}\dfrac{\left ( 8s + 1\right )}{\left ( 5s + 1\right )}$$G_{ff} = -\d...
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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 $-e$ $e$ $\frac{1}{e}$ $\frac{-1}{e}$
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}$$\frac{-1}{e}$
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GATE CH 2022 | Question: 16
The reaction $A \rightarrow B$ is carried out isothermally on a porous catalyst. The intrinsic reaction rate is $kC_{A}^{2}$ ... is $1$ $2$ $\frac{3}{2}$ $\sqrt{2}$
The reaction $A \rightarrow B$ is carried out isothermally on a porous catalyst. The intrinsic reaction rate is $kC_{A}^{2}$, where $k$ is the rate constant and $C_{A}$ i...
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GATE CH 2022 | Question: 1
The value of $(1 + i)^{12}$, where $i = \sqrt{-1}$, is $-64i$ $64i$ $64$ $-64$
The value of $(1 + i)^{12}$, where $i = \sqrt{-1}$, is$-64i$$64i$$64$$-64$
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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 ... $0$ $-\frac{\pi \mu V} {\text{ln}(a)}$
Consider a horizontal rod of radius $aR (a < 1)$ in a stationary pipe of radius $R$. The rod is pulled coaxially at a constant velocity $V$ as shown in the figure. The an...
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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
Consider turbulent flow in a pipe under isothermal conditions. Let $r$ denote the radial coordinate and $z$ denote the axial flow direction. On moving away from the wall ...
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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 $0.02$ $0.04$ $0.10$ $0.01$
Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ and the ambient temperature is $T_{a}\:(T_{s} T_{a})$. The wire is to be...
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GATE CH 2022 | Question: 9
The chemical formula of Glauber’s salt, used in the Kraft process, is $Na_{2}CO_{3}.10H_{2}O$ $Na_{2}S_{2}O_{4}.2H_{2}O$ $Na_{2}HPO_{4}.2H_{2}O$ $Na_{2}SO_{4}.10H_{2}O$
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$$Na_{2}SO_{4}.10H_{2}O$
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GATE CH 2022 | Question: 5
For a single component system at vapor-liquid equilibrium, the extensive variables $\text{A,V, S and N}$ denote the Helmholtz free ...
For a single component system at vapor-liquid equilibrium, the extensive variables $\text{A,V, S and N}$ denote the Helmholtz free energy, volume, entropy, and number of ...
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GATE CH 2022 | Question: 19
$5$ moles of liquid benzene, $8$ moles of liquid toluene and $7$ moles of liquid xylene are mixed at $25^{\circ}C$ ... $J\:K^{-1}$ (rounded off to one decimal place).
$5$ moles of liquid benzene, $8$ moles of liquid toluene and $7$ moles of liquid xylene are mixed at $25^{\circ}C$ and $1$ bar. Assuming the formation of an ideal solutio...
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GATE CH 2022 | Question: 2
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$ ... is $(1, 1)$ $(1, 2)$ $(2, 2)$ $(2, 1)$
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is$(1, 1)$$(1, 2)$$(2, 2)$$(2...
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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).
Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer coefficient ot $S$ in liquid $A$ is twice of ...
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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.
In an enzymatic reaction, an inhibitor $(I)$ competes with the substrate $(S)$ to bind with the enzyme $(E)$, thereby reducing the rate of product $(P)$ formation. The co...
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GATE CH 2022 | Question: 24
A process described by the transfer function ... ) is __________________ (rounded off to the nearest integer).
A process described by the transfer function $$G_{P}\left ( s \right ) = \frac{\left ( 10s +1 \right )}{5s + 1}$$ is forced by a unit step input at time $t = 0$. The outp...
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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
Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The undesirable reaction in the catalytic reforming of naphtha isHydrocracking of ...
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GATE CH 2022 | Question: 51
Information for a proposed greenfield project is provided in the table. The discounted cash flow for the fourth year is Rs ...
Information for a proposed greenfield project is provided in the table. The discounted cash flow for the fourth year is Rs ___________________ crores (rounded off to one ...
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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 $e$ $0$ $\frac{1}{e}$ $1$
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: 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
A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool the reactor. The heated water flashes in the b...
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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
In soap manufacturing, the triglycerides present in oils and fats are hydrolyzed to mainly produceFatty acids and glycerolGlycerol onlyFatty acids onlyGlycerol and paraff...
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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)
A compressor with a lite of $10$ years costs Rs $10$ lakhs. Its yearly operating cost is Rs $0.5$ lakh. If the annual compound interest rate is $8\%$, the amount needed a...
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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).
A wet solid containing $20\%$ $\text{(w/w)}$ moisture (based on mass of bone-dry solid) is dried in a tray-dryer. The critical moisture content of the solid is $10\%$ $\t...
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GATE CH 2022 | Question: 48
In the block diagram shown in the figure, the transfer function ... remains stable is ___________________ (rounded off to two decimal places).
In the block diagram shown in the figure, the transfer function $G = \dfrac{K}{\left ( \tau s + 1 \right )}$ with $K 0$ and $\tau 0$. The maximum value of $K$ below whi...
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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).
The molar excess Gibbs free energy $(g^{E})$ of a liquid mixture of $A$ and $B$ is given by $$\frac{g^{E}}{RT} = x_{A}x_{B}\left [ C_{1} + C_{2} \left ( x_{A} - x_{B} \ri...
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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 ... $4W_{1}$ $W_{1}$ $0.5W_{1}$
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the surroundings. If the rate of diffusi...
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GATE CH 2022 | Question: 50
Consider a single-input-single-output $\text{(SISO)}$ ... is ______________ minutes (rounded off to two decimal places).
Consider a single-input-single-output $\text{(SISO)}$ system with the transfer function $$G_{P}\left ( s \right ) =\frac{2\left ( s + 1 \right )}{\left ( \dfrac{1}{2} s +...
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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).
Consider the process flowsheet in the figure. An irreversible liquid-phase reaction $A \rightarrow B$ (reaction rate $-r_{A} = 164 \:x_{A}\text{ kmol }m^{-3}\:h^{-1}$) oc...
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GATE CH 2022 | Question: 42
A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water ... (rounded off to two decimal places)
A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water (density $1000\:kg\:m^{-3}$) is flowing through the...
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GATE CH 2022 | Question: 53
An elementary irreversible liquid-phase reaction, $2A \rightarrow B$ ... $\%$ (rounded off to one decimal place).
An elementary irreversible liquid-phase reaction, $2A \rightarrow B$, is carried out under isothermal conditions in a $1\:m^{3}$ ideal plug flow reactor $\text{(PFR)}$ as...
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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).
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is to be solved using a predictor-corrector approach. Use a predictor based on...
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GATE CH 2022 | Question: 46
An equimolar binary mixture is to be separated in a simple tray-distillation column. The feed rate is ... ratio is __________ (rounded off to two decimal places).
An equimolar binary mixture is to be separated in a simple tray-distillation column. The feed rate is $50\text{ kmol min}^{-1}$ . The mole fractions of the more volatile ...
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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}$
The partial differential equation $$\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$$ where, $t \geq 0$ and $x \in [0,1]$, is sub...
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