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GATE Chemical 2019 | Question: 25
Consider a sealed rigid bottle containing $CO_{2}$ and $H_{2}O$ at $10$ bar and ambient temperature. Assume that the gas phase in the bottle is pure $CO_{2}$ and follows ...
Arjun
4.7k
points
Arjun
asked
Feb 24, 2019
Others
gate2019
numerical-answers
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GATE Chemical 2019 | Question: 26
The solution of the ordinary differential equation$\frac{dy}{dx}+3y=1$, subjects to the initial condition $y=1$ at $x=0$, is$\frac{1}{3}\left ( 1+2e^{-x/3} \right )$$\fra...
Arjun
4.7k
points
Arjun
asked
Feb 24, 2019
Differential equations
gate2019
differential-equations
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GATE Chemical 2019 | Question: 27
The value of the complex number $i^{-1/2}$ (where $i=\sqrt{-1}$) is $\frac{1}{\sqrt{2}}\left ( 1-i \right )$$-\frac{1}{\sqrt{2}}i$$\frac{1}{\sqrt{2}}i$$\frac{1}{\sqrt{2}}...
Arjun
4.7k
points
Arjun
asked
Feb 24, 2019
Complex variables
gate2019
complex-variables
complex-number
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GATE Chemical 2019 | Question: 28
An incompressible Newtonian fluid flows in a pipe of diameter $D_{1}$ at volumetric flow rate $Q$. Fluid with same properties flows in another pipe of diameter $D_{2}=D_...
Arjun
4.7k
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Arjun
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GATE Chemical 2019 | Question: 29
A disk turbine is used to stir a liquid in a baffled tank. To design the agitator, experiments are performed in a lab-scale model with a turbine diameter of $0.05 \:m$ an...
Arjun
4.7k
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Arjun
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GATE Chemical 2019 | Question: 30
Consider two non-interacting tanks-in-series as shown in figure. Water enters $TANK$ $1$ at $q$ $cm^{3}/s$ and drains down to $TANK$ $2$ by gravity at a rate $k\sqrt{h_{1...
Arjun
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GATE Chemical 2019 | Question: 31
Choose the option that correctly matches the step response curve on the left with the appropriate transfer functions on the right. The step input change occurs at time $t...
Arjun
4.7k
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Arjun
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Feb 24, 2019
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GATE Chemical 2019 | Question: 32
$100$ $kg$ of a feed containing $50$ $wt.\%$ of a solute $C$ is contacted with $80$ $kg$ of a solvent containing $0.5$ $wt.\%$ of $C$ is a mixer-settler unit. From the op...
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GATE Chemical 2019 | Question: 33
The combination that correctly matches the process in Group-$1$ with the entries in Group-$2$ is $\begin{array}{cc}\&\text{Group-1} & \text{Group-2} \\ &\text{P. Wulff pr...
Arjun
4.7k
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GATE Chemical 2019 | Question: 34
If $x,y$ and $z$ are directions in a Cartesian coordinate system and $i$, $j$ and $k$ are the respective unit vectors, the directional derivative of the function $u\left ...
Arjun
4.7k
points
Arjun
asked
Feb 24, 2019
Calculus
gate2019
numerical-answers
calculus
vector-calculus
directional-derivatives
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GATE Chemical 2019 | Question: 35
Two unbiased dice are thrown. Each dice can show any number between $1$ and $6$. The probability that the sum of the outcomes of the two dice is divisible by $4$ is _____...
Arjun
4.7k
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Arjun
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Feb 24, 2019
Probability and Statistics
gate2019
numerical-answers
probability-and-statistics
probability
conditional-probability
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GATE Chemical 2019 | Question: 36
The Newton-Raphson method is used to determine the root of the equation $f(x)=e^{-x}-x$. If the initial guess for the root is 0, the estimate of the root after two iterat...
Arjun
4.7k
points
Arjun
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Feb 24, 2019
Numerical Methods
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numerical-answers
numerical-methods
newton-raphson-method
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GATE Chemical 2019 | Question: 37
Carbon monoxide $(CO)$ reacts with hydrogen sulphide $(H_2S)$ at a constant temperature of $800\:K$ and a constant pressure of 2 bar as:$$CO+H_2S\leftrightharpoons COS+H_...
Arjun
4.7k
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Arjun
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Feb 24, 2019
Others
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numerical-answers
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GATE Chemical 2019 | Question: 38
For a given binary system at constant temperature and pressure, the molar volume (in $m^{3}$/mol) is given by: $v=30x_{A}+20x_{B}+x_{A}x_{B}\left ( 15x_{A} -7x_{B}\right ...
Arjun
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Arjun
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Feb 24, 2019
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GATE Chemical 2019 | Question: 39
Consider a vessel containing steam at $180^{\circ}C$.The initial steam quality is $0.5$ and the initial volume of the vessel in $1$ $m^{3}$. The vessel loses heat at a co...
Arjun
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Arjun
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GATE Chemical 2019 | Question: 40
A fractionator recovers $95$ mol $\%$ $n$-propane as the distillate from an equimolar mixture of $n$-propane and $n$-butane. The condensate is a saturated liquid at $55^{...
Arjun
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GATE Chemical 2019 | Question: 41
A centrifugal pump is used to pump water (density $1000$ $kg/m^{3}$) from an inlet pressure of $10^{5}$ $Pa$ to an exit pressure of $2 \times 10^{5}$ $Pa$. The exit is at...
Arjun
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Arjun
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Feb 24, 2019
Others
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GATE Chemical 2019 | Question: 42
A solid sphere of radius $1$ $cm$ and initial temperature of $25^{\circ}\:C$ is exposed to a gas stream at $100^{\circ}\:C$. For the solid sphere, the density is $10^{4}$...
Arjun
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Arjun
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Feb 24, 2019
Others
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numerical-answers
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GATE Chemical 2019 | Question: 43
Stream $A$ with specific heat capacity $C_{PA}=2000\:J/\left ( kg\:K \right )$ is cooled from $90^{\circ}C$ to $45^{\circ}C$ in a concentric double pipe counter current...
Arjun
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Arjun
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Feb 24, 2019
Others
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GATE Chemical 2019 | Question: 44
A $20$ $cm$ diameter cylindrical solid pellet of a nuclear fuel with density $6000\: kg/m^{3}$ and conductivity of $300\:W/\left ( m\:K \right )$ generates heat by nucle...
Arjun
4.7k
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Arjun
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Feb 24, 2019
Others
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numerical-answers
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GATE Chemical 2019 | Question: 45
The elementary, irreversible liquid-phase, parallel reactions, $2A\rightarrow D$ and $2A\rightarrow U$, take place in an isothermal non-ideal reactor. The $C$-curve measu...
Arjun
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Arjun
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Feb 24, 2019
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GATE Chemical 2019 | Question: 46
A first-order irreversible liquid phase reaction $A\rightarrow B\left ( k=0.1\:min^{-1} \right )$ is carried out under isothermal, steady state conditions in the followin...
Arjun
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GATE Chemical 2019 | Question: 47
The elementary liquid-phase irreversible reactions$A\overset{k_{1}=0.4\: min^{-1}}{\rightarrow}B\overset{k_{2}=0.1\:min^{-1}}{\rightarrow}C$take place in an isothermal id...
Arjun
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Arjun
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GATE Chemical 2019 | Question: 48
The elementary irreversible gas-phase reaction $A\rightarrow B+C$ is carried out adiabatically in an ideal $CSTR$ (Continuous-Stirred Tank Reactor) operating at 10 $atm$....
Arjun
4.7k
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Arjun
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GATE Chemical 2019 | Question: 49
For the closed loop system shown in figure, the phase margin (in degrees) is ____________ (rounded off to one decimal place).
Arjun
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Arjun
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Feb 24, 2019
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GATE Chemical 2019 | Question: 50
Two spherical camphor particles of radii $20$ $cm$ and $5$ $cm$ far away from each other, are undergiong sublimation in a stream of air. The mass transfer coefficient is ...
Arjun
4.7k
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Arjun
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Feb 24, 2019
Others
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numerical-answers
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GATE Chemical 2019 | Question: 51
A countercurrent absorption tower is designed to remove $95\%$ of component $A$ from an incoming binary gas mixture using pure solvent $B$. The mole ratio of $A$ in the i...
Arjun
4.7k
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Arjun
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Feb 24, 2019
Others
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numerical-answers
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GATE Chemical 2019 | Question: 52
A binary mixture with components $A$ and $B$ is to be separated in a distillation column to obtain $95$ mol$\%$ $A$ as the top product. The binary mixture has a constant ...
Arjun
4.7k
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Arjun
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Feb 24, 2019
Others
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numerical-answers
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GATE Chemical 2019 | Question: 53
Consider the reactor-separator-recycle process operating under steady state conditions as shown in the figure. The reactor is an ideal Continuous-Stirred Tank Reactor ($C...
Arjun
4.7k
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Arjun
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Feb 24, 2019
Others
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numerical-answers
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votes
GATE Chemical 2019 | Question: 54
Consider two competing equipment $A$ and $B$. For a compound interest rate of $10\%$ per annum, in order for equipment $B$ to be the economically cheaper option, its mini...
Arjun
4.7k
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Arjun
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Feb 24, 2019
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GATE Chemical 2019 | Question: 55
A taxi-car is bought for $Rs\: 10$ lakhs. Its salvage value is zero. The expected yearly income after paying all expenses and applicable taxes is $Rs$ $3$ lakhs. The comp...
Arjun
4.7k
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Arjun
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Feb 24, 2019
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numerical-answers
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GATE Chemical 2017 | Question: 1
The value of $\underset{x\rightarrow 0}{\lim}\:\frac{\tan\left ( x \right )}{x}$ is ________________.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2017
numerical-answers
calculus
limits
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GATE Chemical 2017 | Question: 2
The real part of $6e^{i\pi /3}$ is _______________.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Complex variables
gate2017
numerical-answers
complex-variables
complex-number
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GATE Chemical 2017 | Question: 3
The number of positive roots of the function $f(x)$ shown below in the range $0<x<6$ is ___________________.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2017
numerical-answers
calculus
maxima-minima
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0
answers
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GATE Chemical 2017 | Question: 4
Let $i$ and $j$ be the unit vectors in the $x$ and $y$ directions, respectively. For the function $F\left ( x,y \right )=x^{3}+y^{2}$ the gradient of the function. i.e.. ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2017
calculus
vector-calculus
unit-vectors
gradient
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0
answers
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votes
GATE Chemical 2017 | Question: 5
The marks obtained by a set of students are: $38,\:84,\:45,\:70,\:75,\:60,\;48$.The mean and median marks, respectively, are$45$ and $75$$55$ and $48$$60$ and $60$$60$ an...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2017
probability-and-statistics
statistics
mean-median-mode
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0
answers
0
votes
GATE Chemical 2017 | Question: 6
The volumetric properties of two gases $M$ and $N$ are described by the generalized compressibility chart which expresses the compressibility factor $(Z)$ as a function o...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 26, 2018
Others
gate2017
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GATE Chemical 2017 | Question: 7
Water is heated at atmospheric pressure from $40^{\circ}C$ to $80^{\circ}C$ using two different processes. In process $I$, the heating is done by a source at $80^{\circ}C...
Milicevic3306
7.9k
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Milicevic3306
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Mar 26, 2018
Others
gate2017
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GATE Chemical 2017 | Question: 8
In a venturi meter. $\Delta P_{1}$ and $\Delta P_{2}$ are the pressure drops corresponding to volumetric flowrates $Q_{1}$ and $Q_{2}$. If $Q_{2}/Q_{1}=2$, then $\Delta P...
Milicevic3306
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Milicevic3306
asked
Mar 26, 2018
Others
gate2017
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GATE Chemical 2017 | Question: 9
The thickness of laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. As the distance increase, the boundary layer thic...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2017
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