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GATE CH 2023 | Question: 32
Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the ... is____________(rounded off to one decimal place).
Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the combustor at $100 \mathrm{~mol} . \mathrm{hr}^{-1}$, of w...
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GATE CH 2023 | Question: 33
The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter ... is______________(rounded off to two decimal places).
The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter $0.5 \mathrm{~mm}$ and length $1.5 \mathrm{~m}$. The fluid flow is lamin...
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GATE CH 2023 | Question: 34
A liquid $\boldsymbol{L}$ containing a dissolved gas $\boldsymbol{S}$ is stripped in a countercurrent ... minimum number of ideal stages required is__________(in integer).
A liquid $\boldsymbol{L}$ containing a dissolved gas $\boldsymbol{S}$ is stripped in a countercurrent operation using a pure carrier gas $\boldsymbol{V}$. The liquid phas...
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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: 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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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: 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 | 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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