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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^...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Differential equations
gate2018
differential-equations
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answers
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votes
GATE Chemical 2018 | GA Question: 4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018
numerical-ability
geometry
triangles
area
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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 ...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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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^{...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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 ...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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numerical-answers
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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 __________
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Calculus
gate2018
numerical-answers
calculus
limits
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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{...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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numerical-answers
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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 ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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GATE Chemical 2018 | Question: 43
A fiberboard sheet $\left ( 1.5\:m\times 2.0\:m\times 15\:mm \right )$ is being dried by suspending it horizontally in a current of hot, dry air. The edges are insulted s...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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 $...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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...
gatecse
1.4k
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gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Complex variables
gate2018
complex-variables
complex-conjugate-poles
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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 ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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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}$$\frac{kg\:of\:steam\:supplied}{kg\...
gatecse
1.4k
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gatecse
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Feb 20, 2018
Others
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GATE Chemical 2018 | Question: 42
A binary distillation column is designed by McCabe-Thiele method to get a distillate mole fraction of $0.9$. The enriching section operating line has an intercept with $y...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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answers
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GATE Chemical 2018 | Question: 29
$G$ denotes the Gibbs free energy of a binary mixture, $n_{T}$ denotes the total number of moles present in the system, $\mu _{i}$ is the chemical potential of the $i^{th...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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GATE Chemical 2018 | Question: 28
A furnace installed at a cost of $Rs.\:24$ Lakh is expected to serve its useful life of $5$ years. Salvage value of the furnace is $Rs.\:8$ Lakh. The interest rate compou...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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GATE Chemical 2018 | Question: 26
Match the equipment in Column $A$ with the corresponding process in Column $B$$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&\text{$Column\:A$} & \text{$Column\:B$} \\ \hline ...
gatecse
1.4k
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gatecse
asked
Feb 20, 2018
Others
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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...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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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...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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numerical-answers
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GATE Chemical 2018 | GA Question: 6
An automobile travels from city $A$ to city $B$ and returns to city $A$ by the same route. The speed of the vehicle during the onward and return journeys were constant at...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018
numerical-ability
normal
speed-time-distance
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GATE Chemical 2018 | Question: 10
Polyvinyl chloride is produced byco-polymerizationaddition-type kineticsreacting chlorine with polyethylenereacting hydrochloric acid with polyethylene
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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0
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
numerical-answers
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0
answers
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GATE Chemical 2018 | Question: 2
The fourth order Runge-Kutta ($RK4$) method to solve an ordinary differential equation $\frac{dy}{dx}=f\left ( x,y \right )$ is given as $$y\left ( x+h \right )=y\left ( ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Numerical Methods
gate2018
numerical-methods
runge-kutta-method
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0
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GATE Chemical 2018 | Question: 22
Pitot tube is used to measureliquid level in a tankflow velocity at a pointangular deformationvorticity
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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GATE Chemical 2018 | Question: 12
Two packed towers are designed for the same mass velocity of the gas. The first has liquid and gas flow rates of $30\:kg/s$ and $1.2\:kg/s$, respectively, while the corre...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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GATE Chemical 2018 | Question: 32
Match the items in Column $A$ with the items in Column $B$$\begin{array}{|cl|cI|}\hline&\text{$Column\:A$} & \text{$Column\:A$} \\ \hline &\text{P. Pure dead-time} & \te...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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GATE Chemical 2018 | Question: 6
Critical speed of a ball mill depends onthe radius of the mill (shell) and the radius of the particlesthe radius of the mill (shell) and the density of the particlesthe r...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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0
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votes
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 ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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0
answers
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votes
GATE Chemical 2018 | Question: 3
A watch uses two electronic circuits ($ECs$). Each $EC$ has a failure probability of $0.1$ in one year of operation. Both $ECs$ are required for functioning of the watch....
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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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}$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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votes
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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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