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GATE Chemical 2012 | Question: 27
If $a$ is a constant, then the value of the integral $a^{2}\int^\infty_0 xe^{-ax}dx$ is$1/a$$a$$1$$0$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2012
calculus
definite-integrals
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GATE Chemical 2012 | Question: 28
The Newton – Raphson method is used to find the roots of the equation $f(x) = x- \cos\pi x$ $0\...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2012
numerical-methods
newton-raphson-method
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GATE Chemical 2012 | Question: 29
If $i = \sqrt{-1}$, the value of the integral $$\oint_{c}\dfrac{7z + i}{z(z^2 + 1)}dz \quad\quad\quad\quad|z|<2$$,u...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Complex variables
gate2012
complex-variables
cauchy-residue-theorems
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GATE Chemical 2012 | Question: 30
An insulated, evacuated container is connected to a supply line of an ideal gas at pressure $P_s$, temperature $T_s$ and specific volume $V_s$. The container is filled wi...
Milicevic3306
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Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 17
In the McCabe-Thiele diagram, if the $x$-coordinate of the point of intersection of the $q$-line and the vapor-liquid equilibrium curve is greater then the $x$-coordinate...
Milicevic3306
7.9k
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Milicevic3306
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Mar 25, 2018
Others
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GATE Chemical 2012 | Question: 18
For which of the following combinations, does the absorption operation become gas -film controlled?$P$. The solubility of gas in the liquid is very high$Q$. The solubilit...
Milicevic3306
7.9k
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Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 19
The half-life of an $n^{th}$ order reaction in a batch reactor depends ononly the rate constantonly the rate constant and the order of the reactiononly the rate constant ...
Milicevic3306
7.9k
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Milicevic3306
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Mar 25, 2018
Others
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GATE Chemical 2012 | Question: 20
Consider the reaction scheme shown below $$A \xrightarrow {k_1} B \xrightarrow {k_2}C$$Both the reactions are first-order. The activation energie...
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7.9k
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Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 21
In petroleum refining, catalytic reforming is used to convertparaffins and naphthenes to armaticsParaffins to hydrogen and carbon monoxideGas oil to diesel and gasonlineL...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 22
The final boiling points of gasonline, diesel, atmospheric gas oil $\text{(AGO)}$ and lubricating oils vary as gasonline>diesel>$\text{AGO}$ lubricating oilslubricating o...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 23
The main unit processes used for the production of hydrogen from natural gas are stream reforming $(\text{SR})$, pressure swing adsorption $(\text{PSA})$, low temperature...
Milicevic3306
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points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 9
For an exothermic reversible reaction, which one of the following correctly describes the dependence of the equilibrium constant $(K)$ with temperature $(T)$ and pressure...
Milicevic3306
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Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 10
Water is flowing under laminar conditions in a pipe of length $L$. If the diameter of the pipe is doubled, for a constant volumetric flow rate, the pressure drop across t...
Milicevic3306
7.9k
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Milicevic3306
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Mar 25, 2018
Others
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GATE Chemical 2012 | Question: 11
The local velocity of a fluid along a streamline can be measured byPitot tubeVenturi meterRotameterOrifice meter
Milicevic3306
7.9k
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Milicevic3306
asked
Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 12
For uniform laminar flow(in the $x$-direction) past a flat plate at high Reynolds number, the local boundary layer thickness ($\delta$) varies with the distance along the...
Milicevic3306
7.9k
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Milicevic3306
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Mar 25, 2018
Others
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GATE Chemical 2012 | Question: 13
In a mixing tank operating at very high Reynolds number($>10^{4}$), if the diameter of the impeller is doubled (other conditions remaining constant), the power required i...
Milicevic3306
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points
Milicevic3306
asked
Mar 25, 2018
Others
gate2012
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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...
Milicevic3306
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Milicevic3306
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Mar 25, 2018
Others
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GATE Chemical 2012 | Question: 15
A solid sphere with an initial temperature $T{_1}$ is immersed in a large thermal reservoir of temperature $T{_0}$. The sphere reaches a steady temperature after a certai...
Milicevic3306
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Milicevic3306
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Mar 25, 2018
Others
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GATE Chemical 2012 | Question: 16
If the Nusselt number $(\text{Nu})$ for heat transfer in a pipe varies with Reynolds number $(Re)$ as $\text{Nu}$ $ {\displaystyle \propto }\; Re^{0.8}$, then for constan...
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Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 2
If $a$ and $b$ are arbitrary constants, then the solutions to the ordinary differential equation $\dfrac{d^...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Differential equations
gate2012
differential-equations
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GATE Chemical 2012 | Question: 3
For the function $f(t) = e^{-t}/\tau$,the Taylor series approximation for $t\ll$$\tau$ is$1+\frac{t}{\tau}$$1-\frac{t}{\tau}$$1-\frac{t^2}{2\tau^2}$$1+t$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2012
calculus
taylor-series
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GATE Chemical 2012 | Question: 4
A box containing $10$ identical components has $6$ red balls and $2$ blue balls. If each compartment can hold only one ball, then the number of different possible arrange...
Milicevic3306
7.9k
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Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 5
Consider the following $(2\times2)$ matrix $\left( \begin{array}{c} 4 & 0 \\ 0 & 4 \end{array} \right)$Whi...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2012
linear-algebra
matrices
eigen-values
eigen-vectors
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GATE Chemical 2012 | Question: 6
In a throttling process, the pressure of an ideal gas reduce by $50\%$. If $C{_p}$ and $C{_v}$ are the heat capacities at constant pressure and constant volume, respectiv...
Milicevic3306
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Milicevic3306
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Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 7
If the temperature of saturated water is increased infinitesimally at constant entropy, the resulting state of water will beLiquidLiquid – vapor coexistenceSaturated va...
Milicevic3306
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Milicevic3306
asked
Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 8
In a parallel flow heat exchanger operating under steady state, hot liquid enters at a temperature $T_{h,in}$ and leaves at a temperature $T_{h,out}$. Cold liquid enters ...
Milicevic3306
7.9k
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Milicevic3306
asked
Mar 25, 2018
Others
gate2012
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GATE Chemical 2012 | Question: 1
Consider the following set of linear algebraic equations $x{_1} + 2x{_2} + 3x{_3} = 2$ ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2012
linear-algebra
matrices
system-of-equations
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
numerical-answers
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answers
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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
gate2018
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
asked
Feb 20, 2018
Others
gate2018
numerical-answers
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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
gate2018
numerical-answers
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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
points
gatecse
asked
Feb 20, 2018
Others
gate2018
numerical-answers
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answers
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GATE Chemical 2018 | Question: 45
For a closed-loop system, consider the following transfer functions:process $G_{p}\left ( s \right )$, controller $G_{c}\left ( s \right )$, measuring device $G_{m}\left ...
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: 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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0
answers
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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 ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Linear Algebra
gate2018
numerical-answers
linear-algebra
matrices
determinant
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0
answers
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votes
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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
numerical-answers
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answers
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votes
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 ...
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: 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 ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
numerical-answers
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0
answers
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votes
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
gate2018
numerical-answers
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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
asked
Feb 20, 2018
Others
gate2018
numerical-answers
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