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GATE Chemical 2016 | Question: 27
What is the solution for the second order differential equation $\frac{\mathrm{d} ^{2}y}{\mathrm{d} x}^{2}+y=0$, with the initial conditions $y\left | _{x-0}=5\:and\:\fra...
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GATE Chemical 2016 | Question: 28
The model $y=mx^{2}$ is to be fit to the data given below.$$\begin{array}{|cl|cI|}\hline&{x} & {1} & {\sqrt{2}} & {\sqrt{3}} \\ \hline &{y} & {2} & {5} & {8} \\ \hline \e...
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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 2016 | Question: 30
Values of $f\left ( x \right )$ in the interval $\left [ 0,4 \right ]$ are given below.$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&{x} & \text{0} & \text{1} & \text{2} & \t...
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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 2016 | Question: 32
An ideal gas is adiabatically and irreversibly compressed from $3$ bar and $300\:K$ to $6$ bar in a closed system. The work required for the irreversible compression is $...
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GATE Chemical 2016 | Question: 33
A gas obeying the Clausius equation of state is isothermally compressed from $5\:Mpa$ to $15\:MPa$ in a closed system at $400\:K$. The Clausius equation of state is $P=\f...
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GATE Chemical 2016 | Question: 34
A binary system at a constant pressure with species $’1’$ and $’2’$ is described by the two-suffix Margules equation, $\frac{g^{E}}{RT}=3x_{1}x_{2}$, where $g^{E}...
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GATE Chemical 2016 | Question: 35
Water (density=$1000\:kg\:m^{-3}$) is pumped at a rate of $36\:m^{3}/h$, from a tank $2\:m$ below the pump, to an overhead pressurized vessel $10\:m$ above the pump. The ...
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GATE Chemical 2016 | Question: 36
An agitated cylinder vessel is fitted with baffles and flat blade impellers. The power number for this system is given by $N_{p}=\frac{P}{\rho n^{3}D^{5}}$ where $P$ is t...
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GATE Chemical 2016 | Question: 37
Consider a rigid solid sphere falling with a constant velocity in a fluid. The following data are known at the conditions of interest: viscosity of the fluid = $0.1\:Pa\;...
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GATE Chemical 2016 | Question: 38
The characteristics curve (Head-Capacity relationship) of a centrifugal pimp is represented by the equation $\Delta H_{pump}=43.8-0.19Q$, where $\Delta H_{pump}$ is the h...
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GATE Chemical 2016 | Question: 39
Water flows through a smooth circular pipe under turbulent conditions. In the viscous sub-layer, the velocity varies linearly with the distance from the wall. The Fanning...
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GATE Chemical 2016 | Question: 40
In a $1-1$ pass shell and tube exchanger, steam is condensing in the shell at a temperature $(T_{s})$ of $135^{\circ}C$ and the cold fluid is heated from a temperature $(...
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GATE Chemical 2016 | Question: 41
In an experiment setup, mineral oil is filled in between the narrow gap of two horizontal smooth plates. The setup has arrangements to maintain the plates at desired unif...
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GATE Chemical 2016 | Question: 42
The space between two hollow concentric spheres of radii $0.1\:m$ and $0.2\:m$ is under vacuum. Exchange of radiation (uniform in all directions) occurs only between the ...
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GATE Chemical 2016 | Question: 43
A binary distillation column is to be designed using McCabe Thiele method. The distillate contains $90$ mol$\%$ of the more volatile component. The point of intersection ...
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GATE Chemical 2016 | Question: 44
Solute $C$ is extracted in a batch process from its homogenous solution of $A$ and $C$, using solvent $B$. The combined composition of the feed and the extracting solvent...
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GATE Chemical 2016 | Question: 45
At $30^{\circ}C$, the amounts of acetone adsorbed at partial pressures of $10$ and $100\:mmHg$ are $0.1$ and $0.4\:kg$ acetone/$kg$ activated carbon, respectively. Assume...
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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 Chemical 2016 | Question: 47
The liquid phase reversible reaction $A\rightleftharpoons B$ is carried out in an isothermal $CSTR$ operating under steady state conditions. The inlet stream does not con...
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GATE Chemical 2016 | Question: 48
A liquid phase irreversible reaction$A{\rightarrow}B$ is carried out in an adiabatic $CSTR$ operating under steady state conditions. The reaction is elementary and follow...
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GATE Chemical 2016 | Question: 49
A porous pellet with $Pt$ dispersed in it is used to carry out a catalytic reaction. Following two scenarios are possible.$Scenario\:1$ : $Pt$ present throughout the pore...
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GATE Chemical 2016 | Question: 50
A $CSTR$ has a long inlet pipe. A tracer is injected at the entrance of the pipe. The $E$-curve obtained at the exit of the $CSTR$ is shown in the figure below.Assuming p...
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GATE Chemical 2016 | Question: 51
A liquid flows through an “equal percentage” valve at a rate of $2\:m^{3}/h$ when the valve is $10\%$ open. When the valve opens to $20\%$ the flowrate increases to $...
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GATE Chemical 2016 | Question: 52
A $PI$ controller with integral time constant of $0.1$ min is to be designed to control a process with transfer function$$G_{P}\left ( s \right )=\frac{10}{s^{2}+2s+100}$...
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GATE Chemical 2016 | Question: 53
For a unit step input, the response of a second order system is$$y\left ( t \right )=K_{p} \left [ 1-\frac{1}{\sqrt{1-\zeta ^{2}}} e^{\frac{\zeta t}{\tau }}\sin\left ( \f...
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GATE Chemical 2016 | Question: 54
A vertical cylindrical tank with a flat roof and bottom is to be constructed for storing $150\:m^{3}$ of ethylene glycol. The cost of material and fabrication for the tan...
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GATE Chemical 2016 | Question: 55
A catalytic reforming plant produces hydrogen and benzene from cyclohexane by de-hydro aromatisation. In order to increase the production of hydrogen, the owner plans to ...
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GATE Chemical 2015 | Question: 1
Choose the most appropriate word from the options given below to complete the following sentence.The principle presented the chief guest with a _______________ , as token...
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GATE Chemical 2015 | Question: 2
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentences:Frogs _____________________ .croakroarhisspatter
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GATE Chemical 2015 | Question: 3
Choose the word most similar in meaning to the given word:EduceExertEducateExtractExtend
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GATE Chemical 2015 | Question: 4
Operators $\square$ , $\lozenge$ and ${\rightarrow}$ are defined by: $a\:\square \:b=\frac{a-b}{a+b}; \:a\:\lozenge \:b=\frac{a+b}{a-b};\:a\rightarrow b=ab.$ Find the val...
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GATE Chemical 2015 | Question: 5
If $\log_{x}$ $(5/7)=-1/3$, then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$
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GATE Chemical 2015 | Question: 6
The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underlined part. Following the requiremen...
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GATE Chemical 2015 | Question: 7
Read the following paragraph and choose the correct statement.Climate change has reduced human security and threatened human well being. An ignored reality of human progr...
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GATE Chemical 2015 | Question: 9
A cube of side $3$ units is formed using a set smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are ...
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GATE Chemical 2015 | Question: 10
Humpty Dumpty sits on a wall every day while having launch. The wall sometimes breaks. A person sitting on the wall falls if the wall breaks.Which one of the statements b...
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GATE Chemical 2015 | Question: 11
The following set of the three vectors$$\begin{pmatrix} 1\\2\\1 \end{pmatrix}, \begin{pmatrix} x\\6\\x \end{pmatrix}\:and \:\begin{pmatrix} 3\\4 \\2 \end{pmatrix},$$is li...
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