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GATE Chemical 2014 | Question: 38
A vapour phase catalytic reaction $(Q+R{\rightarrow}S)$ follows Rideal mechanism ($R$ and $S$ are not absorbed). Initially, the mixture contains only the reactants in equ...
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GATE Chemical 2012 | Question: 39
A thermocouple having a linear relationship between $0\;^{\circ}C$ and $350 \:^{\circ}C$ shows an emf of zero and $30.5 \text{ mV}$, respectively at these two temperature...
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GATE Chemical 2018 | Question: 26
Match the equipment in Column $A$ with the corresponding process in Column $B$$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&\text{$Column\:A$} & \text{$Column\:B$} \\ \hline ...
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GATE Chemical 2018 | Question: 21
For a chemical reaction, the ratio of rate constant at $500\:K$ to that at $400\:K$ is $2.5$. Given $R=8.314\:J$ mol$^{-1}$ $K^{-1}$, the value of activation energy (in $...
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GATE CH 2022 | Question: 7
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the ... $4W_{1}$ $W_{1}$ $0.5W_{1}$
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the surroundings. If the rate of diffusi...
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GATE CH 2022 | Question: 40
Consider the process flowsheet in the figure. An irreversible liquid-phase reaction $A \rightarrow B$ ... (rounded off to two decimal places).
Consider the process flowsheet in the figure. An irreversible liquid-phase reaction $A \rightarrow B$ (reaction rate $-r_{A} = 164 \:x_{A}\text{ kmol }m^{-3}\:h^{-1}$) oc...
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GATE Chemical 2020 | Question: 31
Consider the gas phase reaction $N_2O_4 \rightleftarrows 2NO_2$ occuring in an isothermal and isobaric reactor maintained at $298 K$ and $1.0$ bar. The standard Gibbs ene...
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GATE Chemical 2019 | Question: 12
A thermocouple senses temperature based on theNernst Effect Maxwell Effect Seebeck EffectPeltier Effect
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GATE Chemical 2017 | Question: 27
The Laplace transform of a function is $\frac{s+1}{s\left ( s+2 \right )}$The initial and final values, respectively, of the function are $0$ and $1$$1$ and $\frac{1}{2}$...
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GATE Chemical 2016 | Question: 29
The Lagrange mean-value theorem is satisfied for $f\left ( x \right )=x^{3}+5$, in the interval $\left ( 1,4 \right )$ at a value (rounded off to the second decimal place...
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GATE Chemical 2014 | Question: 32
A wet solid of $100\:kg$ is dried from a moisture content of $40\:wt\%$ to $10\:wt\%$. The critical moisture content is $15\:wt\%$ and the equilibrium moisture content is...
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GATE Chemical 2018 | Question: 44
Consider the following transfer function:$$G\left ( s \right )=\frac{3}{\left ( 5s+1 \right )^{2}}$$where, the natural period of oscillation is in min. The amplitude rati...
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GATE Chemical 2018 | Question: 28
A furnace installed at a cost of $Rs.\:24$ Lakh is expected to serve its useful life of $5$ years. Salvage value of the furnace is $Rs.\:8$ Lakh. The interest rate compou...
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GATE CH 2022 | Question: 26
The partial differential equation $\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$ where ... $1$ $e$ $\pi$ $\frac{1}{e}$
The partial differential equation $$\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$$ where, $t \geq 0$ and $x \in [0,1]$, is sub...
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GATE CH 2022 | Question: 50
Consider a single-input-single-output $\text{(SISO)}$ ... is ______________ minutes (rounded off to two decimal places).
Consider a single-input-single-output $\text{(SISO)}$ system with the transfer function $$G_{P}\left ( s \right ) =\frac{2\left ( s + 1 \right )}{\left ( \dfrac{1}{2} s +...
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GATE CH 2021 | Question: 7
In a double-pipe heat exchanger of $10 \: m$ length, a hot fluid flows in the annulus and a cold fluid flows in the inner pipe. The ... $24.6$ $27.9$ $30.0$ $50.0$
In a double-pipe heat exchanger of $10 \: m$ length, a hot fluid flows in the annulus and a cold fluid flows in the inner pipe. The temperature profiles of the hot $(T_h)...
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GATE Chemical 2020 | Question: 32
A tank initially contains a gas mixture with $21\:mol\:\% $ oxygen and $79\:mol\:\%$ nitrogen. Pure nitrogen enters the tank, and a gas mixture of nitrogen and oxygen exi...
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GATE Chemical 2020 | Question: 52
Flow of water thorough an equal percentage valve is $900 \text{ litre } h^{-1}$ at $30 \%$ opening, and $1080 \text{ litre } h^{-1}$ at $35 \%$ opening. Assume that the p...
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GATE Chemical 2019 | Question: 40
A fractionator recovers $95$ mol $\%$ $n$-propane as the distillate from an equimolar mixture of $n$-propane and $n$-butane. The condensate is a saturated liquid at $55^{...
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GATE Chemical 2019 | Question: 53
Consider the reactor-separator-recycle process operating under steady state conditions as shown in the figure. The reactor is an ideal Continuous-Stirred Tank Reactor ($C...
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GATE Chemical 2016 | GA Question: 10
Which of the following curves represents the function $\text{y=ln}(|e^{[|\sin(|x|)]}|)$ for $\mid x\mid< 2\pi$? Here, $x$ represents the abscissa and $y$ represents the o...
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GATE Chemical 2014 | GA Question: 8
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The larg...
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GATE Chemical 2013 | Question: 58
Mahatma Gandhi was known for his humility ashe played an important role in humiliating exit of British from India.he worked for humanitarian causes.he displayed modesty i...
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GATE Chemical 2013 | Question: 56
If 3 $\le$ X $\le$ 5 and 8 $\le$ Y $\le$ 11 then which of the following options is TRUE?$\frac{3}{5}$ $\le$ $\frac{X}{Y}$ $\le$ $\frac{8}{5}$$\frac{3}{11}$ $\le$ $\frac{X...
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GATE Chemical 2013 | Question: 4
Evaluate ${\displaystyle \int \frac{dx}{e^x – 1}}$(Note: C is a constant of integration)$\frac{e^x}{e^x -1}$ + C$\frac {In(e^x -1)}{e^x}$ + CIn$(\frac {e^x}{e^x -1})$ ...
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GATE Chemical 2012 | Question: 45
In a 1-1 pass floating head type shell and tube heat exchanger, the tubes (od = 25 mm; id = 21 mm) are arranged in a square pitch. The tube pitch is 32 mm. The thermal co...
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GATE Chemical 2018 | Question: 31
The decay ratio for a system having complex conjugate poles as $\left ( -\frac{1}{10}+j\frac{2}{15} \right )$ and $\left ( -\frac{1}{10}-j\frac{2}{15} \right )$ is $7\ti...
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GATE Chemical 2018 | Question: 23
A venturi meter is installed to measure the flow rate of water in a $178\:mm$ diameter ($ID$) pipe. The throat diameter is $102\:mm$. The differential pressure measured u...
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GATE CH 2022 | Question: 36
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is ... $x = 0.5$ is _____________________ (rounded off to three decimal places).
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is to be solved using a predictor-corrector approach. Use a predictor based on...
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GATE Chemical 2015 | Question: 12
For the matrix $\begin{pmatrix} 4 & 3\\ 3& 4 \end{pmatrix}$, if $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ is an eigenvector, the corresponding eigenvalue is __________ .
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GATE Chemical 2014 | GA Question: 9
One percent of the people of country $X$ are taller than $6$ ft. Two percent of the people of country $Y$ are taller than $6$ ft. There are thrice as many people in count...
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GATE Chemical 2012 | Question: 34
Heat generated at a steady rate of $100\: W$ due to resistance heating in a long wire (length = $5\:\text{m}$, diameter = $2\:\text{mm}$). This wire is wrapped with an in...
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GATE Chemical 2018 | Question: 51
A set of standard stainless steel pipes, each of internal diameter $26.65\:mm$ and $6000\:mm$ length, is used to make a plug flow reactor by joining them in series to car...
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GATE Chemical 2018 | Question: 7
Economy of evaporators used for concentrating sugarcane juice is$\frac{kg\:of\:concentrated\:juice\:produced}{kg\:of\:steam\:supplied}$$\frac{kg\:of\:steam\:supplied}{kg\...
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GATE Chemical 2024 | Question: 7
​​​​​Consider the steady, uni-directional diffusion of a binary mixture of $A$ and $B$ across a vertical slab of dimensions $0.2 \mathrm{~m} \times 0.1 \mathrm{...
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GATE Chemical 2024 | Question: 17
If the Prandtl number $\operatorname{Pr}=0.01$, which of the following statements is/are correct?The momentum diffusivity is much larger than the thermal diffusivity.The ...
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GATE Chemical 2024 | Question: 49
Water of density $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ is pumped at a volumetric flow rate of $3.14 \times 10^{-2} \mathrm{~m}^{3} \mathrm{~s}^{-1}$, through a pipe of inn...
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GATE CH 2023 | Question: 58
Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction. ... is______________(rounded off to one decimal place).
Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction.$$\textbf{A} \longrightarrow \textbf{products}$$The catalyst gets deactivated...
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GATE CH 2022 | Question: 42
A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water ... (rounded off to two decimal places)
A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water (density $1000\:kg\:m^{-3}$) is flowing through the...
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GATE Chemical 2020 | Question: 23
Consider the following closed loop system with $G_p$ and $G_c$ as the transfer functions of the process and the controller, respectively.For a unit step change in the set...
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