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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: 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 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 2021 | Question: 1
An ordinary differential equation $\text{(ODE)}, \: \dfrac{dy}{dx}=2y$, with an initial condition $y(0)=1$, has the analytical ... $0.06$ $0.8$ $4.0$ $8.0$
An ordinary differential equation $\text{(ODE)}, \: \dfrac{dy}{dx}=2y$, with an initial condition $y(0)=1$, has the analytical solution $y=e^{2x}$.Using Runge-Kutta secon...
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GATE Chemical 2019 | GA Question: 2
The search engine’s business model ____ around the fulcrum of trust.revolvesplayssinksbursts
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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 | GA Question: 4
​​​Which one of the given options is a possible value of $x$ in the following sequence?\[3,7,15, x, 63,127,255\]$35$$40$$45$$31$
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GATE CH 2023 | Question: 21
Match the quantities in Group $1$ with their units in Group $2$ ... $\text{P-IV, Q-I, R-III, S-II}$
Match the quantities in Group $1$ with their units in Group $2$ listed in the table below.$$\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 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 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 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: 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 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 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: 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: 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 Chemical 2019 | Question: 33
The combination that correctly matches the process in Group-$1$ with the entries in Group-$2$ is $\begin{array}{cc}\&\text{Group-1} & \text{Group-2} \\ &\text{P. Wulff pr...
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GATE Chemical 2017 | Question: 5
The marks obtained by a set of students are: $38,\:84,\:45,\:70,\:75,\:60,\;48$.The mean and median marks, respectively, are$45$ and $75$$55$ and $48$$60$ and $60$$60$ an...
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GATE CH 2022 | Question: 10
Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The ... of naphthenes Isomerization of naphthenes Cyclization of paraffins
Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The undesirable reaction in the catalytic reforming of naphtha isHydrocracking of ...
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GATE Chemical 2018 | GA Question: 10
In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period $2002$ to $2004$ and a sudden spike from $2004$ to ...
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GATE Chemical 2018 | GA Question: 9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$
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GATE Chemical 2019 | GA Question: 10
Three of the five students are allocated to a hostel put in special requests to the warden, Given the floor plan of the vacant rooms, select the allocation plan that will...
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GATE Chemical 2012 | Question: 14
For heat transfer across a solid-fluid interface, which one of the following statements is $\text{NOT}$ true when the Biot number is very small compared to $1$?Conduction...
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GATE Chemical 2018 | GA Question: 8
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctl...
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GATE Chemical 2024 | Question: 6
​​​​​The velocity field in an incompressible flow is $\boldsymbol{v}=\alpha x y \hat{\boldsymbol{\imath}}+v_{y} \hat{\boldsymbol{\jmath}}+\beta \widehat{\boldsy...
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GATE Chemical 2024 | Question: 39
​​​​​For purchasing a batch reactor, three alternatives $\mathrm{P}, \mathrm{Q}$ and $\mathrm{R}$ have emerged, as summarized in the table. For a compound inter...
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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: 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 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 2017 | Question: 1
The value of $\underset{x\rightarrow 0}{\lim}\:\frac{\tan\left ( x \right )}{x}$ is ________________.
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GATE Chemical 2017 | Question: 29
A box has $6$ red balls and $4$ white balls. A ball is picked at random and replaced in the box, after which a second ball is picked.The probability of both the balls bei...
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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 Chemical 2024 | Question: 50
A Venturi meter with a throat diameter $d=2 \mathrm{~cm}$ measures the flow rate in a pipe of diameter $D=6 \mathrm{~cm}$, as shown in the figure. A U-tube manometer is c...
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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: 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 2021 | GA Question: 5
____________ is to $\textit{surgery}$ as $\textit{writer}$ is to __________ Which one of the following ... Plan, outline Hospital, library Doctor, book Medicine, grammar
____________ is to $\textit{surgery}$ as $\textit{writer}$ is to __________Which one of the following options maintains a similar logical relation in the above sentence?P...
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GATE CH 2021 | GA Question: 10
Some people suggest anti-obesity measures $\text{(AOM)}$ such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems t...
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GATE Chemical 2014 | Question: 33
A brick wall of $20\:cm$ thickness has thermal conductivity of $0.7\:W\:m^{-1}\:K^{-1}$. An insulation of thermal conductivity $0.2\:W\:m^{-1}\:K^{-1}$ is to be applied o...
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