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GATE Chemical 2014 | Question: 51
Consider a binary liquid mixture at equilibrium with its vapour at $25^{\circ}C$.Antoine equation for this system is given as $log_{10}\:p_{t}^{sat}=A-\frac{B}{t+C}$ wher...
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GATE Chemical 2014 | Question: 50
In a steady and incompressible flow of a fluid (density = $1.25\: kg\: m^{-3}$), the difference between stagnation and static pressures at the same location in the flow i...
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GATE Chemical 2014 | Question: 49
Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Turbulence} & \text{I. Reciprocating pump}\\&\text{Q. $NPSH$} & \text{II. Packed be...
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GATE Chemical 2014 | Question: 48
In a steady incompressible flow, the velocity distribution is given by $\bar{V}=3x\hat{i}-Py\hat{j}+5z\hat{k}$, where, $V$ is in $m/s$ and $x,y$ and $z$ are in $m$. In or...
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GATE Chemical 2014 | Question: 47
The bottom face of a horizontal slab of thickness $6 \:mm$ is maintained at $300^{\circ}C$. The top face is exposed to a flowing gas at $30^{\circ}C$. The thermal conduct...
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GATE Chemical 2014 | Question: 46
Given below is a simplified block diagram of a feedforward control system.The transfer function of the process is $G_{p}=\frac{5}{s+1}$ and the disturbance transfer funct...
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GATE Chemical 2014 | Question: 45
A step change of magnitude $2$ is introduced into a system having the following transfer function$$G\left ( s \right )=\frac{2}{s^{2}+2s+4}$$The percent overshoot is ____...
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GATE Chemical 2014 | Question: 44
A polymer plant with a production capacity of $10,000$ tons per year has an overall yield of $70\%$, on mass basis ($kg$ of product per $kg$ of raw material), The raw mat...
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GATE Chemical 2014 | Question: 43
A cash flow of Rs. $12,000$ per year is received at the end year (uniform periodic payment) for $7$ consecutive years. The rate of interest is $9\%$ per year compounded a...
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GATE Chemical 2014 | Question: 42
Carbon monoxide $(CO)$ is burnt in pressure of $200\%$ excess pure oxygen and the flame temperature achieved is $2298\:K$. The inlet streams are at $25^{\circ}$. The stan...
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GATE Chemical 2014 | Question: 41
Two elemental gases ($A$ and $B$) are reacting to form a liquid ($C$) in a steady state process as per the reaction $A+B{\rightarrow}C$. The single-pass conversion of the...
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GATE Chemical 2014 | Question: 40
Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Tank in series model} & \text{I. Non-isothermal reaction}\\&\text{Q. Liquid-liquid ...
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GATE Chemical 2014 | Question: 39
An incompressible fluid is flowing through a contraction section of length $L$ and has a $1-D$ ($x$- direction steady state velocity distribution, $u=u_{0}\left ( 1+\frac...
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GATE Chemical 2014 | Question: 38
A vapour phase catalytic reaction $(Q+R{\rightarrow}S)$ follows Rideal mechanism ($R$ and $S$ are not absorbed). Initially, the mixture contains only the reactants in equ...
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GATE Chemical 2014 | Question: 37
A homogenous reaction $(R{\rightarrow}P)$ occurs in a batch reactor. The conversion of the reactant $R$ is $67\%$ after $10$ minutes and $80\%$ after $20$ minutes. The ra...
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GATE Chemical 2014 | Question: 36
A binary distillation column is operating with a mixed feed containing $20$ mol$\%$ vapour. If the feed quality is changed to $80$ mol$\%$ vapour, the change is the slope...
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GATE Chemical 2014 | Question: 35
Which $ONE$ of the following is $CORRECT$ for an ideal gas in a closed system?$\left ( \frac{\partial U}{\partial V} \right )_{s}V=nR\left ( \frac{\partial U}{\partial S}...
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GATE Chemical 2014 | Question: 34
An oil with a flow rate of $1000\:kg/h$ is to be cooled using water in a double-pipe counter-flow heat exchanger from a temperature of $70^{\circ}C$ to $40^{\circ}C$. Wat...
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GATE Chemical 2014 | Question: 33
A brick wall of $20\:cm$ thickness has thermal conductivity of $0.7\:W\:m^{-1}\:K^{-1}$. An insulation of thermal conductivity $0.2\:W\:m^{-1}\:K^{-1}$ is to be applied o...
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GATE Chemical 2014 | Question: 32
A wet solid of $100\:kg$ is dried from a moisture content of $40\:wt\%$ to $10\:wt\%$. The critical moisture content is $15\:wt\%$ and the equilibrium moisture content is...
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GATE Chemical 2014 | Question: 31
A spherical ball of benzoic acid (diameter=$1.5\:cm$) is submerged in a pool of still water. The solubility and diffusively of benzoic acid in water are $0.03$ $k$mol/$m^...
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GATE Chemical 2014 | Question: 30
In rolling of two fair dice, the outcome of an experiments is considered to be the sum of the numbers appearing on the dice. The probability is highest for the outcome of...
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Probability and Statistics
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GATE Chemical 2014 | Question: 29
Consider the following two normal distributions$f_{1}\left ( x \right )=exp\left ( -\pi x^{2} \right )$$f_{2}\left ( x \right )=\frac{1}{2 \pi}exp\left \{ -\frac{1}{4\pi ...
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Probability and Statistics
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GATE Chemical 2014 | Question: 28
The differential equation $\frac{d^{2}y}{dx^{2}}+x^{2}\frac{dy}{dx}+x^{3}y=e^{x}$ is a non-linear differential equation of first degreelinear differential equation of fir...
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Differential equations
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GATE Chemical 2014 | Question: 27
The integrating factor for the differential equation$\frac{dy}{dx}-\frac{y}{1+x}=\left ( 1+x \right )$ is$\frac{1}{1+x}$$(1+x)$$x(1+x)$$\frac{x}{1+x}$
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Differential equations
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GATE Chemical 2014 | Question: 26
Consider the following differential equation$\frac{dy}{dx}=x+In\:\left ( y \right ); y=2 \: at \: x=0$The solution of this equation at $x=0.4$ using Euler method with a s...
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Differential equations
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GATE Chemical 2014 | Question: 25
Which $ONE$ of the following statements is $CORRECT$?The major components of biodiesel are triglyceridesBiodiesel is essentially a mixture of ethyl estersBiodiesel is hig...
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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: 23
The vessel dispersion number for an ideal $CSTR$ is $-1$$0$$1$$\infty$
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GATE Chemical 2014 | Question: 22
Decomposition efficiency ($\eta _{D}$) of an electrolytic cell used for producing $NaOH$ is defined as $\eta _{D}$ = (grams of $NaOH$ produced / grams o...
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GATE Chemical 2014 | Question: 21
Steam economy of a multiple effect evaporator system is defined askilogram of steam used per hourkilogram of steam consumed in all the effects for each kilogram of steam ...
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GATE Chemical 2014 | Question: 20
Which $ONE$ of the following statements is $CORRECT$ for the surface renewal theory?Mass transfer takes place at steady stateMass transfer takes place at unsteady stateCo...
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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: 18
Slurries are most conveniently pumped by a syringe pumpdiaphragm pumpvacuum pumpgear pump
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GATE Chemical 2014 | Question: 17
In order to produce fine solid particles between $5$ and $10\:\ \mu m$, the appropriate size reducing equipment isfluid energy millhammer milljaw crushersmooth roll crush...
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GATE Chemical 2014 | Question: 16
A spherical storage vessel is quarter-filled with toluene. The diameter of the vent at the top of the vessel is $1/20^{th}$ of the diameter of the vessel. Under the stead...
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GATE Chemical 2014 | Question: 15
Packed towers are preferred for gas-liquid mass transfer operation with foaming liquids becausein packed towers, high liquid to gas ratio are best handledin packed towers...
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GATE Chemical 2014 | Question: 14
Assume that an ordinary mercury-in-glass thermometer follows first order dynamics with a time constant of $10\:s$. It is at a steady state temperature of $0^{\circ}C$. At...
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GATE Chemical 2014 | Question: 13
Which of the following statements are $CORRECT$?For a rheopectic fluid, the apparent viscosity increase with time under a constant applied shear stressFor a pseudoplastic...
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GATE Chemical 2014 | Question: 12
In case of a pressure driven laminar flow of a Newtonian fluid of viscosity $(\mu)$ through a horizontal circular pipe, the velocity of the fluid is proportional to$\mu$$...
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