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GATE Chemical 2024 | GA Question: 5
​​On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time $12:05:00$ hours to $12: 55: 00$ hours?$51...
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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 Chemical 2019 | Question: 9
Pool boiling equipment operating above ambient temperature is usually designed to operatefar above the critical heat fluxnear the critical heat fluxfar above the Leidenfr...
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GATE Chemical 2018 | Question: 45
For a closed-loop system, consider the following transfer functions:process $G_{p}\left ( s \right )$, controller $G_{c}\left ( s \right )$, measuring device $G_{m}\left ...
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GATE Chemical 2024 | Question: 13
​​​​​Consider the control structure for the overhead section of a distillation column shown in the figure. The composition controller (CC) controls the heavy ke...
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GATE Chemical 2019 | Question: 34
If $x,y$ and $z$ are directions in a Cartesian coordinate system and $i$, $j$ and $k$ are the respective unit vectors, the directional derivative of the function $u\left ...
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GATE Chemical 2017 | Question: 14
Which of the following conditions are valid at the plait point?Density difference between the extract and raffinate phases is zeroInterfacial tension between the extract...
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GATE Chemical 2012 | Question: 64
Given the sequence of terms, $\text{AD CG FK JP}$, the next term is$\text{OV}$$\text{OW}$$\text{PV}$$\text{PW}$
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GATE Chemical 2018 | Question: 1
Consider the following two equation:$\frac{dx}{dt}+x+y=0$$\frac{dy}{dt}-x=0$The above set of equations is represented by$\frac{d^{2}y}{dt^{2}}-\frac{dy}{dt}-y=0$$\frac{d^...
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GATE CH 2022 | Question: 11
A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool ... $\text{LC}$ : Direct, $\text{TC}$ : Direct
A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool the reactor. The heated water flashes in the b...
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GATE CH 2022 | Question: 23
A wet solid containing $20\%$ $\text{(w/w)}$ moisture (based on mass of bone-dry solid) is dried in a tray-dryer. ... $\text{(w/w)}$ (rounded off to one decimal place).
A wet solid containing $20\%$ $\text{(w/w)}$ moisture (based on mass of bone-dry solid) is dried in a tray-dryer. The critical moisture content of the solid is $10\%$ $\t...
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GATE CH 2021 | GA Question: 9
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$ ... Neither conclusion $\text{I}$ nor $\text{II}$ is correct
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$.$\text{Statement 1}$: All bacteria are microorganisms.$\text{Statement 2}$: All...
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GATE Chemical 2019 | GA Question: 5
A court is to a judge as _________ is to a teachera studenta punishmenta syllabusa school
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GATE Chemical 2019 | Question: 25
Consider a sealed rigid bottle containing $CO_{2}$ and $H_{2}O$ at $10$ bar and ambient temperature. Assume that the gas phase in the bottle is pure $CO_{2}$ and follows ...
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GATE Chemical 2016 | Question: 2
The Laplace transform of $e^{at}\sin\left ( bt \right )$ is$\frac{b}{\left ( s-a \right )^{2}+b^{2}}$$\frac{s-a}{\left ( s-a \right )^{2}+b^{2}}$$\frac{s-a}{\left ( s-a \...
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GATE Chemical 2014 | Question: 34
An oil with a flow rate of $1000\:kg/h$ is to be cooled using water in a double-pipe counter-flow heat exchanger from a temperature of $70^{\circ}C$ to $40^{\circ}C$. Wat...
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GATE Chemical 2018 | Question: 17
The reactant ($M$) is converted into product ($N$) in the presence of catalyst in a fixed bed reactor. All the flow rates ($F,\:G,\:H,\:P $ and $R$) in mol/$s$, and mole ...
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GATE CH 2023 | Question: 30
Given that $E$ (in W. $\mathrm{m}^{-2}$ ) is the total hemispherical emissive power of a surface maintained ... . $E$ does not depend on the frequency of the emission.
Given that $E$ (in W. $\mathrm{m}^{-2}$ ) is the total hemispherical emissive power of a surface maintained at a certain temperature, which of the following statements is...
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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: 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 Chemical 2012 | Question: 46
Match the process in Group I with the catalyst in Group II Group I ...
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GATE Chemical 2012 | Question: 28
The Newton – Raphson method is used to find the roots of the equation $f(x) = x- \cos\pi x$ $0\...
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GATE Chemical 2024 | Question: 15
​​​​​In an ammonia manufacturing facility, the necessary hydrogen is generated from methane. The facility consists of the following process units -$\text{P}$: M...
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GATE Chemical 2019 | Question: 2
The value of the expression $\underset{x\rightarrow \frac{\pi }{2}}{\lim}\: \mid \frac{\tan\:x}{x} \mid $ is $\infty$$0$$1$$-1$
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GATE Chemical 2017 | Question: 58
Consider the following sentences:All benches are beds. No bed is a bulb. Some bulbs are lamps.Which of the following can be inferredSome beds are lampsSome lamps are beds...
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GATE Chemical 2012 | Question: 27
If $a$ is a constant, then the value of the integral $a^{2}\int^\infty_0 xe^{-ax}dx$ is$1/a$$a$$1$$0$
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GATE Chemical 2018 | Question: 54
In a roll crusher, rolls of diameter $1$ $m$ each are set in such a manner that minimum clearance between the crushing surfaces is $15$ $mm$. If the angle of nip is $31^{...
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GATE Chemical 2018 | Question: 39
A $CSTR$ and a $PFR$ of equal volume are connected in series as shown below to carry out a first-order, isothermal, liquid phase reaction$$A{\rightarrow}P$$The rate const...
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GATE CH 2023 | Question: 45
Level $(h)$ in a steam boiler is controlled by manipulating the flow rate $(F)$ of the make-up (fresh) water using a ... used by the engineer? $0.25$ $2$ $4$ $6$
Level $(h)$ in a steam boiler is controlled by manipulating the flow rate $(F)$ of the make-up (fresh) water using a proportional (P) controller. The transfer function be...
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GATE CH 2021 | GA Question: 7
... its marked price, is ___________ $25$ $12.5$ $10$ $5$
$$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit} \% & \textbf{Marked Price} \\ & (₹) && (₹) \\ \hline P & 5,400 & \dots & 5,860 \\ ...
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GATE Chemical 2019 | Question: 20
In petroleum refining operations, the process used for converting paraffins and naphthenes to aromatics isalkylationcatalytic reforminghydrocrackingisomerization
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GATE Chemical 2019 | Question: 29
A disk turbine is used to stir a liquid in a baffled tank. To design the agitator, experiments are performed in a lab-scale model with a turbine diameter of $0.05 \:m$ an...
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GATE Chemical 2019 | Question: 42
A solid sphere of radius $1$ $cm$ and initial temperature of $25^{\circ}\:C$ is exposed to a gas stream at $100^{\circ}\:C$. For the solid sphere, the density is $10^{4}$...
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GATE Chemical 2012 | Question: 52
A Newtonian fluid of viscosity $\mu$ flows between two parallel plates due to the motion of the bottom plate (as shown below), which is moved with a velocity $V$. The top...
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GATE Chemical 2018 | Question: 55
A hot liquid is to be cooled in a $1-1$ shell and tube heat exchanger from $80^{\circ}C$ to $50^{\circ}C$. Cooling water enters the tube side at $30^{\circ}C$, and exits ...
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GATE Chemical 2018 | Question: 46
If $y=e^{-x^{2}}$ then the value of $\underset{x\rightarrow \infty }{\lim}\frac{1}{x}\frac{dy}{dx}$ is __________
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GATE Chemical 2018 | Question: 25
The inital water level in a tank is $4\:m$. When the value located at the bottom is opened, the rate of change of water level ($L$) with respect to time ($t$) is, $\frac{...
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GATE Chemical 2024 | Question: 9
The ratio of the activation energy of a chemical reaction to the universal gas constant is $1000 \mathrm{~K}$. The temperature-dependence of the reaction rate constant fo...
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GATE CH 2021 | GA Question: 6
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an ... $\frac{9}{\pi} \\$ $3 \pi$
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges ...
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GATE Chemical 2020 | Question: 25
Sum of the eigenvalues of the matrix $\begin{bmatrix} 2 & 4 & 6 \\ 3 & 5 & 9 \\ 12 & 1 & 7 \end{bmatrix}$ is ______ (round off to nearest integer).
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