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GATE Chemical 2016 | Question: 53
For a unit step input, the response of a second order system is$$y\left ( t \right )=K_{p} \left [ 1-\frac{1}{\sqrt{1-\zeta ^{2}}} e^{\frac{\zeta t}{\tau }}\sin\left ( \f...
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GATE Chemical 2015 | Question: 4
Operators $\square$ , $\lozenge$ and ${\rightarrow}$ are defined by: $a\:\square \:b=\frac{a-b}{a+b}; \:a\:\lozenge \:b=\frac{a+b}{a-b};\:a\rightarrow b=ab.$ Find the val...
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GATE Chemical 2015 | Question: 18
For a gas phase cracking reaction $A{\rightarrow}B+C$ at $300^{\circ}$, the Gibbs free energy of the reaction at this temperature is $\Delta G^{\circ}=-2750$ $J$/mol. The...
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GATE Chemical 2014 | Question: 41
Two elemental gases ($A$ and $B$) are reacting to form a liquid ($C$) in a steady state process as per the reaction $A+B{\rightarrow}C$. The single-pass conversion of the...
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GATE Chemical 2014 | Question: 24
Catalytic cracking isa hydrogen addition processa carbon rejection processan exothermic processa coking process
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GATE Chemical 2014 | Question: 19
Assuming the mass transfer coefficient in the gas and the liquid phases are comparable, the absorption of $CO_{2}$ from reformers gas $(CO_{2}+H_{2})$ into an aqueous sol...
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GATE Chemical 2014 | Question: 5
From the following list, identify the properties which are equal in both vapour and liquid phases at equilibriumDensityTemperatureChemical potentialEnthalpy$P$ and $Q$ on...
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GATE Chemical 2013 | Question: 36
In a double pipe counter-current heat exchanger, the temperature profiles shown in the figure were observed. During operation, due to fouling inside the pipe, the heat tr...
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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 ...
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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...
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GATE Chemical 2024 | Question: 3
If $z_{1}=-1+i$ and $z_{2}=2 i$, where $i=\sqrt{-1}$, then $\operatorname{Arg}\left(z_{1} / z_{2}\right)$ is$\frac{3 \pi}{4}$$\frac{\pi}{4}$$\frac{\pi}{2}$$\frac{\pi}{3}$...
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GATE Chemical 2024 | Question: 33
​​​Alumina particles with an initial moisture content of $5 \mathrm{~kg}$ per $\mathrm{kg}$ dry solid are dried in a batch dryer. For the first two hours, the measu...
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GATE CH 2023 | Question: 43
$\mathrm{CO}$ and $\mathrm{H}_2$ ...
$\mathrm{CO}$ and $\mathrm{H}_2$ participate in a catalytic reaction. The partial pressures (in atm) of the reacting species $\mathrm{CO}$ and $\mathrm{H}_2$ in the feed ...
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GATE CH 2022 | Question: 34
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ ... is _________________ (rounded off to two decimal places).
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ at the point $(1, 1, 1)$ in the direction of the vector $\vec{v} = \hat{i} - \hat{k}$ is _...
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GATE CH 2021 | Question: 44
A double-effect evaporator is used to concentrate a solution. Steam is sent to the first effect at ... is _________$^\circ C$ (round off to nearest integer)
A double-effect evaporator is used to concentrate a solution. Steam is sent to the first effect at $110\:^{\circ} C$ and the boiling point of the solution in the second e...
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GATE Chemical 2020 | Question: 9
Pure gas $\textbf{P}$ is being absorbed into a liquid. The dissolved $\textbf{P}$ undergoes an irreversible reaction in the liquid film. The reaction is first order with ...
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GATE Chemical 2020 | Question: 12
The operating temperature range for the Haber process is $350-500^{\circ}C$. It is used for the production of ammonia at$20 \:MPa$ using $Fe$ catalyst in an exothermic re...
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GATE Chemical 2017 | Question: 17
The following reaction rate curve is shown for a reaction $A{\rightarrow}P$. Here, $(-r_{A})$ and $X_{A}$ represent reaction rate and conversion, respectively. The feed i...
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GATE Chemical 2017 | Question: 19
For a solid-catalyzed gas phase reversible reaction, which of the following statements is ALWAYS TRUE?Adsorption is rate-limitingDesorption is rate-limitingsolid catalyst...
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GATE Chemical 2016 | Question: 7
In a cyclone separator used for separation of solid particles from a dust laden gas, the separation factor is defined as the ratio of the centrifugal force to the gravita...
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GATE Chemical 2016 | Question: 21
Standard pipes of different schedule numbers and standard tubes of different $BWG$ numbers are available in the market. For a pipe/tube of a given nominal diameter, which...
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GATE Chemical 2015 | Question: 21
For uniform laminar flow over a flat plate, the thickness of the boundary layer, $\delta$ at a distance $x$ from the leading edge of the plate follows the reaction :$\del...
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GATE Chemical 2015 | Question: 36
The diameters of sand particles in a sample range from $50$ to $150$ microns. The number of particles of diameter x in the sample is proportional to $\frac{1}{50+x}$. The...
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GATE Chemical 2015 | Question: 37
A vector $u=-2y\hat{i}+2x\hat{j}$, where $\hat{i}$ and $\hat{j}$ are unit vectors in $x$ and $y$ directions, respectively. Evaluate the line integral$$I=\oint _{C}u.dr$$w...
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GATE Chemical 2015 | Question: 44
For Fanning friction factor $f$ (for flow in pipes) and drag coefficient $C_{D}$ (for flow over immersed bodies), which of the following statements are true?$P.$ $f$ acco...
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GATE Chemical 2015 | Question: 56
Consider two steady isothermal flow configurations shown schematically as Case $I$ and Case $II$ below. In Case $I$, a $CSTR$ of volume $V_{1}$ is followed by a $PFR$ of ...
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GATE Chemical 2013 | Question: 53
The vapor liquid equilibrium relation for an ideal binary system is given by y*${_A}$ = $\frac{\alpha{_A}{_B}x{_A}}{...
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GATE Chemical 2013 | Question: 38
A crosscurrent cascade of N ideal stages is used to treat a feed stream of molar flow rate E. The feed stream contains a solute which is to be recovered by a pure solvent...
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GATE Chemical 2013 | Question: 16
The effectiveness of a heat exchanger in the $\varepsilon$-NTU method is defined as$\frac{increase\ in temperature\ of\ the\ cold\ fluid}{decrease\ in\ temperature\ of\ t...
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GATE Chemical 2013 | Question: 10
The apparent viscosity of a fluid is given by0.007 |$\frac{dv}{dy}$|$^{0.3}$ where ($\frac{dv}{dy}$) is the velocity gradient. The fluid isBingham plasticdilatantpseudopl...
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GATE Chemical 2012 | Question: 38
An equimolar mixture of $A$ and $B$ (A being more volatile) is flash distilled continuously at a feed rate of $100 \text{ kmol/h}$, such that the liquid product contains ...
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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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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 ...
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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...
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GATE Chemical 2018 | Question: 11
The molecular formula of the predominant chemical compound in commercial sugar is$C_{12}H_{22}O_{11}$$C_{12}H_{24}O_{12}$$C_{6}H_{10}O_{5}$$C_{6}H_{12}O_{6}$
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GATE Chemical 2024 | Question: 48
A metallic spherical particle of density $7001 \mathrm{~kg} \mathrm{~m}^{-3}$ and diameter $1 \mathrm{~mm}$ is settling steadily due to gravity in a stagnant gas of densi...
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GATE CH 2022 | Question: 32
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge ... $\frac{3}{4}$ $3$
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge of the plate, then the local he...
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GATE CH 2021 | Question: 32
Which of the following is $\text{NOT}$ a necessary condition for a process under closed-loop control to be ... an amplitude ratio less than $1$ at the critical frequency
Which of the following is $\text{NOT}$ a necessary condition for a process under closed-loop control to be stable?Dead-time term(s) must be absent in the open-loop transf...
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GATE Chemical 2020 | Question: 8
Hot-wire anemometer is used for the measurement ofcompositionflowpressuretemperature
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GATE Chemical 2017 | Question: 32
The pressure of a liquid is increased isothermally. The molar volume of the liquid decreases from $50.45\times 10^{-6}$ $m^{3}$/mol to $48\times 10^{-6}$ $m^{3}$/mol duri...
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