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#921
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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 __________
#922
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GATE Chemical 2018 | Question: 47
For the matrix $A=\begin{bmatrix} \cos\theta &-\sin\theta \\ \sin \theta & \cos\theta \end{bmatrix}$ if $\det$ stands for the determinant and $A^{T}$ is the transpose of ...
#923
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GATE Chemical 2018 | Question: 48
An azeotropic mixture of ethanol and water is to be separated in a distillation column using benzene as an entrainer. At the column operating conditions, two liquid phase...
#924
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GATE Chemical 2018 | Question: 49
The volume of liquid filled in a spherical storage tank of radius $R$ is computed from height of liquid, $h$, in the outside tube (neglecting the volume of liquid in the ...
#925
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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 ...
#926
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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...
#927
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GATE Chemical 2018 | Question: 34
An insulted storage tank contains $1000\:kg$ liquid of specific heat $10\:kJ\:kg^{-1}\:K^{-1}$. The liquid is heated by saturated steam, condensing in a helical coil at a...
#928
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GATE Chemical 2018 | Question: 35
The wall of a pipe of radius $1\:m$ is at a uniform temperature of $200\:^{\circ}C$, and is covered by insulation of thickness $0.1\:m$. The ambient air outside the ins...
#929
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GATE Chemical 2018 | Question: 36
Vapour bubbles are formed in the nucleate boiling regime at a frequency of $10$ bubbles per second per nucleation site. There are $100$ nucleation sites per $m^{2}$ of he...
#930
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GATE Chemical 2018 | Question: 37
Under isothermal condition, a vertical tube of length $L=100\:m$ contains a gas of molecular weight equal to $60$. The pressure and temperature at the top of the tube are...
#931
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GATE Chemical 2018 | Question: 38
At a shear rate of $10\:s^{-1}$, the apparent viscosity of a non-Newtonian liquid was found to be $1\: Pa\:s$. At a shear rate of $100\:s^{-1}$, the apparent viscosity of...
#932
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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...
#933
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GATE Chemical 2018 | Question: 40
The elementary second-order liquid phase reaction $A+B{\rightarrow}C+D$ is carried out in an isothermal plug flow reactor of $2\:m^{3}$ volume. The inlet volumetric flow ...
#934
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GATE Chemical 2018 | Question: 41
It is decided to extract $A$ from a feed containing $20$ mol$\%$ $A$ and $80$ mol$\%$ $B$ in two ideal cross-current stages as shown below, using equal amount of pure sol...
#935
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GATE Chemical 2018 | Question: 42
A binary distillation column is designed by McCabe-Thiele method to get a distillate mole fraction of $0.9$. The enriching section operating line has an intercept with $y...
#936
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GATE Chemical 2018 | Question: 27
In the year $2005$, the cost of a shell and tube heat exchanger with $68\:m^{2}$ heat transfer area was $Rs.\:12.6$ Lakh. Chemical Engineering Index for cost in $2005$ wa...
#937
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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...
#938
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GATE Chemical 2018 | Question: 29
$G$ denotes the Gibbs free energy of a binary mixture, $n_{T}$ denotes the total number of moles present in the system, $\mu _{i}$ is the chemical potential of the $i^{th...
#939
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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...
#940
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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...
#941
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GATE Chemical 2018 | Question: 32
Match the items in Column $A$ with the items in Column $B$$\begin{array}{|cl|cI|}\hline&\text{$Column\:A$} & \text{$Column\:A$} \\ \hline &\text{P. Pure dead-time} & \te...
#942
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GATE Chemical 2018 | Question: 33
In a laboratory batch setup, reaction of $P$ over a catalyst was studied at various temperature. The reactions occurring are$$P\rightarrow 2Q\:;\:P\rightarrow R$$At the e...
#943
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GATE Chemical 2018 | Question: 18
A first-order process having a transfer function, $G_{p}=\frac{2}{7s+1}$ is controlled by a proportional controller with gain of $3.2$. The process time constant is in mi...
#944
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GATE Chemical 2018 | Question: 19
According to the surface renewal theory, the unit of fractional rate of surface renewal ism$^{2}$ s$^{-2}$m$^{2}$ s$^{-1}$m s$^{-1}$$s^{-1}$
#945
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GATE Chemical 2018 | Question: 20
For absorption of $H_{2}S$ from a mixture with hydrocarbon vapour into an aqueous alkanolamine solution, the liquid phase mass transfer resistance issignificantly higher ...
#946
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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 $...
#947
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GATE Chemical 2018 | Question: 22
Pitot tube is used to measureliquid level in a tankflow velocity at a pointangular deformationvorticity
#948
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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...
#949
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GATE Chemical 2018 | Question: 24
The ammonia ($NH_{3}$) oxidation process occurs over a catalyst as$$4NH_{3}+5O_{2}\rightarrow 6H_{2}O+4NO$$Air is supplied such that oxygen ($O_{2}$) is $20\%$ in excess ...
#950
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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{...
#951
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GATE Chemical 2018 | Question: 26
Match the equipment in Column $A$ with the corresponding process in Column $B$$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&\text{$Column\:A$} & \text{$Column\:B$} \\ \hline ...
#952
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GATE Chemical 2018 | Question: 9
In connection with petroleum refining, identify the incorrect statement among the following options.Desalting of crude oil is done before processing it in atmospheric dis...
#953
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GATE Chemical 2018 | Question: 10
Polyvinyl chloride is produced byco-polymerizationaddition-type kineticsreacting chlorine with polyethylenereacting hydrochloric acid with polyethylene
#954
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GATE Chemical 2018 | Question: 11
The molecular formula of the predominant chemical compound in commercial sugar is$C_{12}H_{22}O_{11}$$C_{12}H_{24}O_{12}$$C_{6}H_{10}O_{5}$$C_{6}H_{12}O_{6}$
#955
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GATE Chemical 2018 | Question: 12
Two packed towers are designed for the same mass velocity of the gas. The first has liquid and gas flow rates of $30\:kg/s$ and $1.2\:kg/s$, respectively, while the corre...
#956
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GATE Chemical 2018 | Question: 13
The Annual Fixed Charges ($AFC$) and Annual Utilities Costs ($AUC$) of a distillation column being designed are expressed in terms of the reflux ratio ($R$) as $AFC$ ($Rs...
#957
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GATE Chemical 2018 | Question: 14
Consider the following properties :$\begin{array}{cc}\&\text{P. temperature} & \text{Q. specific gravity} \\ &\text{R. chemical potential} & \text{ S. volume} \\ \\ \en...
#958
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GATE Chemical 2018 | Question: 15
Liquid phase isomerization of $o$-xylene to $p$-xylene using a zeolite catalyst was carried out in a $CSTR$ three sets of kinetic data at different temperatures and stirr...
#959
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GATE Chemical 2018 | Question: 16
Choose the correct statementIn viscose rayon manufacturing process,carbon disulphide used as reactant for xanthate formation is regenerated in a later stepcaustic soda us...
#960
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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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