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GATE CH 2023 | Question: 35
In a binary gas-liquid system, $N_{A, E M D}$ is the molar flux of a gas $A$ for equimolar counter ... is equal to________________(rounded off to two decimal places).
In a binary gas-liquid system, $N_{A, E M D}$ is the molar flux of a gas $A$ for equimolar counter diffusion with a liquid $B . N_{A, U M D}$ is the molar flux of $A$ for...
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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: 37
Simpson's one-third rule is used to estimate the definite integral $ I=\int_{-1}^1 \sqrt{\left(1-x^2\right)} d x $ with ... $\frac{1}{3}-\frac{2}{\sqrt{3}}$
Simpson's one-third rule is used to estimate the definite integral$$I=\int_{-1}^1 \sqrt{\left(1-x^2\right)} d x$$with an interval length of $0.5.$ Which one of the follow...
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GATE CH 2023 | Question: 38
Match the products in Group $1$ with the manufacturing processes in Group $2$ ... $\text{P-I, Q-IV, R-II, S-III}$
Match the products in Group $1$ with the manufacturing processes in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \quad \; \textbf{Group 1} & \; \qqua...
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GATE CH 2023 | Question: 39
Match the products in Group $1$ with the catalysts in Group $2$ ... $\text{P-IV, Q-III, R-I, S-II}$
Match the products in Group $1$ with the catalysts in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \qquad \qquad \qquad \qquad \quad \textbf{Group 1}...
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GATE CH 2023 | Question: 41
The enthalpy $\left(H\right.$, in J. $\left.\mathrm{mol}^{-1}\right)$ of a binary liquid system at constant temperature and ... $100$ $42$ $64$ $40$
The enthalpy $\left(H\right.$, in J. $\left.\mathrm{mol}^{-1}\right)$ of a binary liquid system at constant temperature and pressure is given as$$H=40 x_1+60 x_2+x_1 x_2\...
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GATE CH 2023 | Question: 42
Which one of the following represents the $\text{CORRECT}$ effects of concentration polarization in a ... solute rejection Increased water flux and reduced solute rejection
Which one of the following represents the $\text{CORRECT}$ effects of concentration polarization in a reverse osmosis process?Reduced water flux and reduced solute reject...
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GATE CH 2023 | Question: 43
$\mathrm{CO}$ and $\mathrm{H}_2$ ...
$\mathrm{CO}$ and $\mathrm{H}_2$ participate in a catalytic reaction. The partial pressures (in atm) of the reacting species $\mathrm{CO}$ and $\mathrm{H}_2$ in the feed ...
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GATE CH 2023 | Question: 44
A cascade control strategy is shown in the figure below. The transfer function between the output $(y)$ ...
A cascade control strategy is shown in the figure below. The transfer function between the output $(y)$ and the secondary disturbance $\left(d_2\right)$ is defined as$$G_...
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GATE CH 2023 | Question: 45
Level $(h)$ in a steam boiler is controlled by manipulating the flow rate $(F)$ of the make-up (fresh) water using a ... used by the engineer? $0.25$ $2$ $4$ $6$
Level $(h)$ in a steam boiler is controlled by manipulating the flow rate $(F)$ of the make-up (fresh) water using a proportional (P) controller. The transfer function be...
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GATE CH 2023 | Question: 46
Which of the following statements is/are $\text{CORRECT}$? Bond number includes surface tension. Jakob ... liquid-vapor density difference. Biot number includes gravity.
Which of the following statements is/are $\text{CORRECT}$? Bond number includes surface tension. Jakob number includes latent heat. Prandtl number includes liquid-vapor d...
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GATE CH 2023 | Question: 47
If a matrix $M$ ... of all the eigenvalues of $M^3$ is equal to______________(in integer).
If a matrix $M$ is defined as $M=\left[\begin{array}{cc}10 & 6 \\ 6 & 10\end{array}\right]$, the sum of all the eigenvalues of $M^3$ is equal to______________(in integer)...
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GATE CH 2023 | Question: 48
The first derivative of the function $U(r)=4\left[\left(\frac{1}{r}\right)^{12}-\left(\frac{1}{r}\right)^6\right]$ evaluated at $r=1$ is___________(in integer).
The first derivative of the function$$U(r)=4\left[\left(\frac{1}{r}\right)^{12}-\left(\frac{1}{r}\right)^6\right]$$evaluated at $r=1$ is___________(in integer).
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GATE CH 2023 | Question: 49
Wet air containing $10$ mole percent water vapor is dried by continuously passing it through a column of ... the column is_______________(rounded off to two decimal places).
Wet air containing $10$ mole percent water vapor is dried by continuously passing it through a column of $\mathrm{CaCl}_2$ pellets. The pellets remove $50$ percent of wat...
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GATE CH 2023 | Question: 50
Orsat analysis showing the composition (in $\text{mol} \%,$ on a dry basis) of a stack gas is given in the table below ...
Orsat analysis showing the composition (in $\text{mol} \%,$ on a dry basis) of a stack gas is given in the table below. The humidity measurement reveals that the mole fra...
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GATE CH 2023 | Question: 51
A pump draws water $\left(\right.$ ... to drive the pump is__________________(rounded off to two decimal places).
A pump draws water $\left(\right.$ density $\left.=1000 \mathrm{~kg} \cdot \mathrm{m}^{-3}\right)$ at a steady rate of $10 \mathrm{~kg} \cdot \mathrm{s}^{-1}$. The pressu...
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GATE CH 2023 | Question: 52
A cylindrical tank with a diameter of $500 \mathrm{~mm}$ ... is equal to___________(rounded off to two decimal places).
A cylindrical tank with a diameter of $500 \mathrm{~mm}$ contains water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height $h$. A $5 \mathrm{~mm}$ diameter ...
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GATE CH 2023 | Question: 53
A large tank is filled with water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ... ) is____________(rounded off to two decimal places).
A large tank is filled with water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height of $5 \mathrm{~m}$. A $100 ~ \mu \mathrm{m}$ diameter solid spherical p...
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GATE CH 2023 | Question: 54
A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature $T_s$ as shown in the ... $\bar{h}_l$ is______________(in integer).
A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature $T_s$ as shown in the figure below. The velocity and temperature of the ...
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GATE CH 2023 | Question: 55
A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a ... units $\text{(NTU)}$ is_____________(in integer).
A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a coolant (see figure below). Oil enters the outer ann...
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GATE CH 2023 | Question: 56
Partially saturated air at $1 \; \mathrm{bar}$ and $50^{\circ} \mathrm{C}$ is contacted with water in ... $\mathcal{H}$ is____________(rounded off to two decimal places).
Partially saturated air at $1 \; \mathrm{bar}$ and $50^{\circ} \mathrm{C}$ is contacted with water in an adiabatic saturator. The air is cooled and humidified to saturati...
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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: 58
Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction. ... is______________(rounded off to one decimal place).
Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction.$$\textbf{A} \longrightarrow \textbf{products}$$The catalyst gets deactivated...
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GATE CH 2023 | Question: 59
A unimolecular, irreversible liquid-phase reaction $\boldsymbol{A} \longrightarrow \boldsymbol{P}$ was carried out in an ideal batch ...
A unimolecular, irreversible liquid-phase reaction$$\boldsymbol{A} \longrightarrow \boldsymbol{P}$$was carried out in an ideal batch reactor at temperature $T$. The rate ...
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GATE CH 2023 | Question: 60
An irreversible liquid-phase second-order reaction ... is______________ (rounded off to the nearest integer).
An irreversible liquid-phase second-order reaction$$\boldsymbol{A} \stackrel{k}{\longrightarrow} \boldsymbol{B}$$with rate constant $k=0.2$ liter. $\mathrm{mol}^{-1} \mat...
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GATE CH 2023 | Question: 61
The outlet concentration $C_A$ of a plug flow reactor $\text{(PFR)}$ is controlled by manipulating the ... this system is______________ (rounded off to one decimal place).
The outlet concentration $C_A$ of a plug flow reactor $\text{(PFR)}$ is controlled by manipulating the inlet concentration $C_{A 0}$. The following transfer function desc...
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GATE CH 2023 | Question: 62
The transfer function of a measuring instrument is $ G_m(s)=\frac{1.05}{2 s+1} \exp (-s) . $ At ... unit in its output is____________(rounded off to two decimal places).
The transfer function of a measuring instrument is$$G_m(s)=\frac{1.05}{2 s+1} \exp (-s) .$$At time $t=0$, a step change of $+1$ unit is introduced in the input of this in...
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GATE CH 2023 | Question: 63
A design engineer needs to purchase a membrane module $(\mathrm{M})$ ...
A design engineer needs to purchase a membrane module $(\mathrm{M})$ for a plant. Details about the two available options, $\text{M1}$ and $\text{M2,}$ are given in the t...
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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: 65
Pumps $A$ and $B$ are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the ...
Pumps $A$ and $B$ are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the table below. The interest rate is $10 \%$ per a...
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GATE CH 2022 | GA Question: 2
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape. What should be the minimum volume (in $\text{cm}^{3}$) of ... $r^{3}$ $2r^{3}$ $8r^{3}$
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape.What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere?$\fra...
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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$$-64$
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GATE CH 2022 | Question: 2
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$ ... is $(1, 1)$ $(1, 2)$ $(2, 2)$ $(2, 1)$
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is$(1, 1)$$(1, 2)$$(2, 2)$$(2...
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GATE CH 2022 | Question: 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}$$\frac{-1}{e}$
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GATE CH 2022 | Question: 4
The value of the real variable $x \geq 0$, which maximizes the function $f\left ( x \right ) = x^{e} e ^{-x}$ is $e$ $0$ $\frac{1}{e}$ $1$
The value of the real variable $x \geq 0$, which maximizes the function $f\left ( x \right ) = x^{e} e ^{-x}$ is$e$$0$$\frac{1}{e}$$1$
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GATE CH 2022 | Question: 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: 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: 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: 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: 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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