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GATE Chemical 2012 | Question: 47
Match the polymer in Group I to the polymer characteristic in Group II Group I ...
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GATE Chemical 2012 | Question: 48
A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of sol...
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GATE Chemical 2012 | Question: 49
If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, using Kremser’s equation (adjusted to the next integer) is591113
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GATE Chemical 2012 | Question: 50
The reaction A${_l}{_i}{_q}$ +B${_g}{_a}{_s}$ $\rightarrow$C${_l}{_i}{_q}$ +D${_g}{_a}{_s}$, is carried out in a rector followed by a separator as shown below ...
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GATE Chemical 2012 | Question: 51
If the ratio of recycle gas to purge gas $(F{_R}{_G}/F{_P}{_G})$ is $4$ then $Y{_R}{_B}$ is $3/8$$2/5$$1/2$$3/4$
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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: 39
A thermocouple having a linear relationship between $0\;^{\circ}C$ and $350 \:^{\circ}C$ shows an emf of zero and $30.5 \text{ mV}$, respectively at these two temperature...
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GATE Chemical 2012 | Question: 40
The characteristic equation for a system is $S^{3}+9S^{2}+26S+12(2+K{_c}) = 0$.Using the Routh test, the value of $K{_...
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GATE Chemical 2012 | Question: 41
The elementary reversible exothermic gas-phase reaction A + 3B $\rightleftharpoons$ 2Cis to be conducted in a non-i...
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GATE Chemical 2012 | Question: 42
The block diagram of a system with a proportional controller is shown below A unit step is introduced in the set point. Th...
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GATE Chemical 2012 | Question: 43
A batch reactor 1x10$^{5}$ kg of a product per year. The total batch time (in hours) of the reactor is k$\sqrt{P}{_B}$, where ${P}{_B}$is the product per batch in kg and ...
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GATE Chemical 2012 | Question: 44
Heat integration is planned in a process plant at an investment Rs. 2x10$^{6}$. This would result in a net energy savings of 20 GJ per year. If the nominal rate of intere...
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GATE Chemical 2012 | Question: 31
Consider a binary liquid mixture at constant temperature $T$ and pressure $P$. If the enthalpy change of mixing, $\Delta H = 5x_1x_2$, where $x_1$ and $x_2$ are the mole ...
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GATE Chemical 2012 | Question: 32
A bed of spherical glass beads (density $3000 \text{ kg/m$^3$}$, diameter $1\:\text{mm}$, bed porosity $0.5$) is to be fluidized by a liquid of density $1000 \text{ kg/m$...
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GATE Chemical 2012 | Question: 33
For the enclosure formed between two concentric spheres as shown ($R_2 = 2R_1$), the fraction of radiation leaving the surface area $A_2$ that strikes itself is ...
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GATE Chemical 2012 | Question: 34
Heat generated at a steady rate of $100\: W$ due to resistance heating in a long wire (length = $5\:\text{m}$, diameter = $2\:\text{mm}$). This wire is wrapped with an in...
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GATE Chemical 2012 | Question: 35
In a counter-flow double pipe heat exchanger, oil ($\dot m = 2 \text{ kg/s}, C_p= 2.1 \text{ kJ/kg}.\:^{\circ} C$) is cooled from $90^{\circ}C$ to $40^{\circ} C$ by water...
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GATE Chemical 2012 | Question: 36
The rate-controlling step for the solid-catalyzed irreversible reaction $ A + B \longrightarrow C$is known ...
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GATE Chemical 2012 | Question: 37
Consider the drying operation shown in the figure below for a solid loading (dry basis) of $50 \text{ kg/m}^{2}$ with a constant drying rate of $5\: \text{kg/m$^{2}$.h.}$...
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GATE Chemical 2012 | Question: 24
A thermometer initially at $100^{ \circ}C$ is dipped at $t = 0$ into an oil bath, maintained at $150^{\circ}C$. If the recorded temperature is $130^{\circ}C$ after $1$ mi...
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GATE Chemical 2012 | Question: 25
The Bode stability criterion is applicable whenGain and phase curves decrease continuously with frequencyGain curve increase and phase curve decreases with frequencyGain ...
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GATE Chemical 2012 | Question: 26
The one-dimensional unsteady state heat conduction equation in a hollow cylinder with a constant heat source $q$ is$$ \frac{\partial T}{\partial t}=\frac{1}{r}\frac{\part...
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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$$0$
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Calculus
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calculus
definite-integrals
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GATE Chemical 2012 | Question: 28
The Newton – Raphson method is used to find the roots of the equation $f(x) = x- \cos\pi x$ $0\...
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Numerical Methods
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numerical-methods
newton-raphson-method
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GATE Chemical 2012 | Question: 29
If $i = \sqrt{-1}$, the value of the integral $$\oint_{c}\dfrac{7z + i}{z(z^2 + 1)}dz \quad\quad\quad\quad|z|<2$$,u...
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Complex variables
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complex-variables
cauchy-residue-theorems
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GATE Chemical 2012 | Question: 30
An insulated, evacuated container is connected to a supply line of an ideal gas at pressure $P_s$, temperature $T_s$ and specific volume $V_s$. The container is filled wi...
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GATE Chemical 2012 | Question: 17
In the McCabe-Thiele diagram, if the $x$-coordinate of the point of intersection of the $q$-line and the vapor-liquid equilibrium curve is greater then the $x$-coordinate...
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GATE Chemical 2012 | Question: 18
For which of the following combinations, does the absorption operation become gas -film controlled?$P$. The solubility of gas in the liquid is very high$Q$. The solubilit...
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GATE Chemical 2012 | Question: 19
The half-life of an $n^{th}$ order reaction in a batch reactor depends ononly the rate constantonly the rate constant and the order of the reactiononly the rate constant ...
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GATE Chemical 2012 | Question: 20
Consider the reaction scheme shown below $$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: 21
In petroleum refining, catalytic reforming is used to convertparaffins and naphthenes to armaticsParaffins to hydrogen and carbon monoxideGas oil to diesel and gasonlineL...
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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...
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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...
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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...
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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...
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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
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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...
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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 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...
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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...
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