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Questions by Arjun
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GATE Chemical 2019 | Question: 6
For a fully-developed turbulent hydrodynamic boundary layer for flow past a flat plate, the thickness of the boundary layer increases with distance $x$ from the leading e...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 7
Consider a cylinder (diameter $D$ and length $D$), a sphere (diameter $D$) and a cube (side length $D$). Which of the following statements concerning the sphericity $\lef...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 8
Prandtl number signifies the ratio of$\frac{Momentum \: Diffusivity}{Thermal \: Diffusivity}$$\frac{Mass \: Diffusivity}{Thermal \: Diffusivity}$$\frac{Thermal \: Diffusi...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 9
Pool boiling equipment operating above ambient temperature is usually designed to operatefar above the critical heat fluxnear the critical heat fluxfar above the Leidenfr...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 10
The desired liquid-phase reaction$D+E\overset{k_{1}}{\rightarrow}F \:\:\:\:\:\:\:\:\:r_{F}=k_{1}\:C_{D}^{2}\:C_{E}^{0.3}$is accompanied by an undesired side reaction$D+E\...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 11
For a first order reaction in a porous spherical catalyst pellet, diffiusional effects are most likely to lower the observed rate of reaction for slow reaction in a pell...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 12
A thermocouple senses temperature based on theNernst Effect Maxwell Effect Seebeck EffectPeltier Effect
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Feb 24, 2019
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GATE Chemical 2019 | Question: 13
The correct expression for the Colburn $j$-factor for mass transfer that relates Sherwood number ($Sh$), Reynolds number ($Re$) and Schmidt number ($Sc$) is$\frac{Sh}{\le...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 14
In the drying of non-dissolving solids at constant drying conditions, the internal movement of moisture in the solid has a dominant effect on the drying rate duringthe in...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 15
Three distillation schemes for separating an equimolar, constant relative volatility $ABC$ mixture into nearly pure components are shown. The usual simplifying assumption...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 16
Consider the two countercurrent heat exchanger designs for heating a cold stream from $t_{in}$ to $t_{out}$ as shown in figure. The hot process stream is available at $T_...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 17
Producer gas is obtained bypassing air through red hot cokethermal cracking of naphthapassing steam through red hot cokepassing air and steam through red hot coke
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Feb 24, 2019
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GATE Chemical 2019 | Question: 18
In Kraft process, the essential chemical reagents used in the digester arecaustic soda, mercaptans and ethylene oxidecaustic soda, sodium sulphide and soda ashquick lime,...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 19
The most common catalyst used for oxidation of $o$-xylene to phthalic anhydride is$V_{2}O_{5}$$Pd$$Pt$$Ag$
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Feb 24, 2019
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GATE Chemical 2019 | Question: 20
In petroleum refining operations, the process used for converting paraffins and naphthenes to aromatics isalkylationcatalytic reforminghydrocrackingisomerization
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Feb 24, 2019
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GATE Chemical 2019 | Question: 21
The combination that correctly matches the polymer in Group-$1$ with the polymerization reaction type in Group-$2$ is $$\begin{array}{lclc}\&\text{Group-1} & &\text{Group...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 22
The product of the eigenvalues of the matrix $\begin{pmatrix} 2 &3 \\ 0& 7 \end{pmatrix}$ is ____________ (rounded off to one decimal place).
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Feb 24, 2019
Linear Algebra
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numerical-answers
linear-algebra
matrices
eigen-values
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GATE Chemical 2019 | Question: 23
For a hydraulic lift with dimensions shown in figure, assuming $g=10\:m/s^{2}$, the maximum diameter $D_{left}$ (in $m$) that lifts a vehicle of mass $1000 \:kg$ using a...
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Feb 24, 2019
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GATE Chemical 2019 | Question: 24
The liquid flow rate through an equal percentage control valve, when fully open, is $150$ gal/min and the corresponding pressure drop is $50$ psi. If the specific gravity...
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Feb 24, 2019
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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 ...
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Feb 24, 2019
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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 )$$\fra...
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Feb 24, 2019
Differential equations
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differential-equations
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GATE Chemical 2019 | Question: 27
The value of the complex number $i^{-1/2}$ (where $i=\sqrt{-1}$) is $\frac{1}{\sqrt{2}}\left ( 1-i \right )$$-\frac{1}{\sqrt{2}}i$$\frac{1}{\sqrt{2}}i$$\frac{1}{\sqrt{2}}...
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Feb 24, 2019
Complex variables
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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_...
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Feb 24, 2019
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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...
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Feb 24, 2019
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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...
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Feb 24, 2019
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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...
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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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Feb 24, 2019
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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...
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Feb 24, 2019
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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 ...
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Feb 24, 2019
Calculus
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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 _____...
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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...
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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_...
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Feb 24, 2019
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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 ...
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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...
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Feb 24, 2019
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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^{...
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Feb 24, 2019
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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...
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Feb 24, 2019
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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 $10^{4}$...
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Feb 24, 2019
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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...
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Feb 24, 2019
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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...
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Feb 24, 2019
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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...
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Feb 24, 2019
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numerical-answers
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