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GATE Chemical 2019 | Question: 47
The elementary liquid-phase irreversible reactions$A\overset{k_{1}=0.4\: min^{-1}}{\rightarrow}B\overset{k_{2}=0.1\:min^{-1}}{\rightarrow}C$take place in an isothermal id...
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GATE Chemical 2015 | Question: 31
The transfer function for the disturbance response in an open-loop process is given by $G_{d}^{open}(s)$. The corresponding transfer function for the disturbance response...
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GATE Chemical 2018 | Question: 30
A person is drowning in sea at location $R$ and the lifeguard is standing at location $P$. The beach boundary is straight and horizontal, as shown in the figure.The lifeg...
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GATE CH 2023 | Question: 13
Given that $F=\frac{\left|z_1+z_2\right|}{\left|z_1\right|+\left|z_2\right|},$ where $z_1=2+3 i$ and $z_2=-2+3 i$ ... $\text{CORRECT}$? $F<0$ $F<1$ $F>1$ $F=1$
Given that$$F=\frac{\left|z_1+z_2\right|}{\left|z_1\right|+\left|z_2\right|},$$where $z_1=2+3 i$ and $z_2=-2+3 i$ with $i=\sqrt{-1}$, which one of the following options i...
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GATE Chemical 2018 | Question: 5
The terminal velocity of a spherical particle in gravitational settling under Stokes’ regime varieslinearly with the particle diameterlinearly with the viscosity of the...
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GATE Chemical 2019 | Question: 16
Consider the two countercurrent heat exchanger designs for heating a cold stream from $t_{in}$ to $t_{out}$ as shown in figure. The hot process stream is available at $T_...
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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.$$\begin{array}{|l|l|} \hline \quad \; \textbf{Group 1} & \; \qqua...
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GATE CH 2022 | Question: 2
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$ ... is $(1, 1)$ $(1, 2)$ $(2, 2)$ $(2, 1)$
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is$(1, 1)$$(1, 2)$$(2, 2)$$(2...
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GATE Chemical 2012 | Question: 32
A bed of spherical glass beads (density $3000 \text{ kg/m$^3$}$, diameter $1\:\text{mm}$, bed porosity $0.5$) is to be fluidized by a liquid of density $1000 \text{ kg/m$...
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GATE Chemical 2024 | GA Question: 6
​​​​​​In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.From the ancient Athenian arena to the modern Oly...
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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 2021 | Question: 29
In a solvent regeneration process, a gas is used to strip a solute from a liquid in a countercurrent packed tower operating ...
In a solvent regeneration process, a gas is used to strip a solute from a liquid in a countercurrent packed tower operating under isothermal condition. Pure gas is used i...
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GATE Chemical 2016 | Question: 8
A vertical cylindrical vessel has a layer of kerosene (of density $800\: kg/m^{3}$) over a layer of water (of density $1000 \:kg/m^{3}$). $L$ – shaped glass tubes are c...
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GATE Chemical 2018 | Question: 50
In a closed piston-cylinder system, methane was observed to obey the following equation of state$$P\left ( V-nb \right )=nRT$$where $b=0.029\:m^{3}$/mol. The temperature ...
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GATE Chemical 2015 | Question: 48
In the figure below, the temperature profiles of cold and hot fluids in counter double pipe heat exchangers (in different modes of operation) are shown on the left. For e...
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GATE Chemical 2012 | Question: 42
The block diagram of a system with a proportional controller is shown below A unit step is introduced in the set point. Th...
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GATE CH 2023 | Question: 14
For a two-dimensional plane, the unit vectors, $\left(\hat{e}_r, \hat{e}_\theta\right)$ ... $-\hat{e}_{r}+\hat{e}_{\theta}$
For a two-dimensional plane, the unit vectors, $\left(\hat{e}_r, \hat{e}_\theta\right)$ of the polar coordinate system and $(\hat{\imath}, \hat{\jmath})$ of the cartesian...
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GATE CH 2023 | Question: 18
Nitrile rubber is manufactured via polymerization process. Which one of the following options is the ... and butadiene Butadiene and styrene Butadiene and isoprene
Nitrile rubber is manufactured via polymerization process. Which one of the following options is the $\text{CORRECT}$ pair of monomers used in this process?Acrylonitrile ...
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GATE CH 2023 | Question: 22
A slab of thickness $L$, as shown in the figure below, has cross-sectional area $A$ and constant thermal conductivity $k. T_1$ ... $\frac{A}{L k}$
A slab of thickness $L$, as shown in the figure below, has cross-sectional area $A$ and constant thermal conductivity $k. T_1$ and $T_2$ are the temperatures at $x=0$ and...
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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 Chemical 2018 | Question: 52
Hydrogenation of benzene is to be carried out using $Ni$ (density = $8910$ $kg/m^{3}$) as catalyst, cast in the from of non-porous hollow cylinders, as shown below. The r...
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GATE Chemical 2024 | Question: 55
Consider a tray-column of diameter $120 \mathrm{~cm}$. Each downcomer has a cross-sectional area of $575 \mathrm{~cm}^{2}$. For a tray, the percentage column cross-sectio...
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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 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 Chemical 2019 | Question: 7
Consider a cylinder (diameter $D$ and length $D$), a sphere (diameter $D$) and a cube (side length $D$). Which of the following statements concerning the sphericity $\lef...
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GATE Chemical 2014 | Question: 43
A cash flow of Rs. $12,000$ per year is received at the end year (uniform periodic payment) for $7$ consecutive years. The rate of interest is $9\%$ per year compounded a...
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GATE Chemical 2014 | Question: 36
A binary distillation column is operating with a mixed feed containing $20$ mol$\%$ vapour. If the feed quality is changed to $80$ mol$\%$ vapour, the change is the slope...
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GATE CH 2023 | Question: 21
Match the quantities in Group $1$ with their units in Group $2$ ... $\text{P-IV, Q-I, R-III, S-II}$
Match the quantities in Group $1$ with their units in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \qquad \qquad \qquad \textbf{Group 1} & \textbf{Gr...
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GATE CH 2023 | Question: 50
Orsat analysis showing the composition (in $\text{mol} \%,$ on a dry basis) of a stack gas is given in the table below ...
Orsat analysis showing the composition (in $\text{mol} \%,$ on a dry basis) of a stack gas is given in the table below. The humidity measurement reveals that the mole fra...
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GATE CH 2023 | Question: 60
An irreversible liquid-phase second-order reaction ... is______________ (rounded off to the nearest integer).
An irreversible liquid-phase second-order reaction$$\boldsymbol{A} \stackrel{k}{\longrightarrow} \boldsymbol{B}$$with rate constant $k=0.2$ liter. $\mathrm{mol}^{-1} \mat...
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GATE Chemical 2016 | Question: 31
A jacketed stirred tank with a provision for heat removal is used to mix sulphuric acid and water in a steady state flow process. $H_{2}SO_{4}$ $(l)$ enters at a rate of ...
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GATE Chemical 2024 | GA Question: 3
For positive integers $p$ and $q$, with $\frac{p}{q} \neq 1,\left(\frac{p}{q}\right)^{\frac{p}{q}}=p^{\left(\frac{p}{q}-1\right)}$. Then,$q^{p}=p^{q}$$q^{p}=p^{2 q}$$\sqr...
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GATE Chemical 2024 | Question: 4
​​​​​A homogeneous azeotropic distillation process separates an azeotropic $AB$ binary feed using a heavy entrainer, $E$, as shown in the figure. The loss of $E...
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GATE CH 2022 | Question: 24
A process described by the transfer function ... ) is __________________ (rounded off to the nearest integer).
A process described by the transfer function $$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 Chemical 2019 | Question: 28
An incompressible Newtonian fluid flows in a pipe of diameter $D_{1}$ at volumetric flow rate $Q$. Fluid with same properties flows in another pipe of diameter $D_{2}=D_...
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GATE Chemical 2016 | Question: 46
Consider the following two cases for a binary mixture of ideal gases $A$ and $B$ under steady state conditions. In case $1$, the diffusion pf $A$ occurs through non-diffu...
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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 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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