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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...
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: 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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answers
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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
points
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
7.9k
points
Milicevic3306
asked
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
7.9k
points
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
points
Milicevic3306
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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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2
answers
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GATE Chemical 2018 | Question: 53
The humidity of air at a dry-bulb temperature of $65^{\circ}\:C$ is $0.025$ $kg$ water/$kg$ dry air. The latent heat of vaporization of water at $0^{\circ}\:C$ is $2500$ ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
numerical-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
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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
points
gatecse
asked
Feb 20, 2018
Others
gate2018
numerical-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
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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: 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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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
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numerical-answers
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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 ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-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
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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
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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: 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...
gatecse
1.4k
points
gatecse
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Feb 20, 2018
Others
gate2018
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
gate2018
numerical-answers
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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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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
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gatecse
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Feb 20, 2018
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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
gate2018
numerical-answers
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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 ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
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numerical-answers
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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
gate2018
numerical-answers
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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
gate2018
numerical-answers
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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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
gate2018
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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
asked
Feb 20, 2018
Others
gate2018
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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...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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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: 32
Match the items in Column $A$ with the items in Column $B$$\begin{array}{|cl|cI|}\hline&\text{$Column\:A$} & \text{$Column\:A$} \\ \hline &\text{P. Pure dead-time} & \te...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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GATE Chemical 2018 | Question: 33
In a laboratory batch setup, reaction of $P$ over a catalyst was studied at various temperature. The reactions occurring are$$P\rightarrow 2Q\:;\:P\rightarrow R$$At the e...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
numerical-answers
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0
answers
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GATE Chemical 2018 | Question: 18
A first-order process having a transfer function, $G_{p}=\frac{2}{7s+1}$ is controlled by a proportional controller with gain of $3.2$. The process time constant is in mi...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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0
answers
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votes
GATE Chemical 2018 | Question: 19
According to the surface renewal theory, the unit of fractional rate of surface renewal ism$^{2}$ s$^{-2}$m$^{2}$ s$^{-1}$m s$^{-1}$$s^{-1}$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018
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