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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: 40
Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Tank in series model} & \text{I. Non-isothermal reaction}\\&\text{Q. Liquid-liquid ...
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GATE Chemical 2014 | Question: 41
Two elemental gases ($A$ and $B$) are reacting to form a liquid ($C$) in a steady state process as per the reaction $A+B{\rightarrow}C$. The single-pass conversion of the...
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GATE Chemical 2014 | Question: 42
Carbon monoxide $(CO)$ is burnt in pressure of $200\%$ excess pure oxygen and the flame temperature achieved is $2298\:K$. The inlet streams are at $25^{\circ}$. The stan...
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GATE Chemical 2014 | Question: 29
Consider the following two normal distributions$f_{1}\left ( x \right )=exp\left ( -\pi x^{2} \right )$$f_{2}\left ( x \right )=\frac{1}{2 \pi}exp\left \{ -\frac{1}{4\pi ...
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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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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: 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: 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: 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: 35
Which $ONE$ of the following is $CORRECT$ for an ideal gas in a closed system?$\left ( \frac{\partial U}{\partial V} \right )_{s}V=nR\left ( \frac{\partial U}{\partial S}...
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GATE Chemical 2014 | Question: 22
Decomposition efficiency ($\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: 23
The vessel dispersion number for an ideal $CSTR$ is $-1$$0$$1$$\infty$
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GATE Chemical 2014 | Question: 24
Catalytic cracking isa hydrogen addition processa carbon rejection processan exothermic processa coking process
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GATE Chemical 2014 | Question: 25
Which $ONE$ of the following statements is $CORRECT$?The major components of biodiesel are triglyceridesBiodiesel is essentially a mixture of ethyl estersBiodiesel is hig...
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GATE Chemical 2014 | Question: 26
Consider the following differential equation$\frac{dy}{dx}=x+In\:\left ( y \right ); y=2 \: at \: x=0$The solution of this equation at $x=0.4$ using Euler method with a s...
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GATE Chemical 2014 | Question: 27
The integrating factor for the differential equation$\frac{dy}{dx}-\frac{y}{1+x}=\left ( 1+x \right )$ is$\frac{1}{1+x}$$(1+x)$$x(1+x)$$\frac{x}{1+x}$
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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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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: 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: 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: 18
Slurries are most conveniently pumped by a syringe pumpdiaphragm pumpvacuum pumpgear pump
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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: 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: 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: 8
In oder to achieve the same conversion under identical reaction conditions and feed flow rate for a non-autocatalytic reaction of positive order, the volume of an ideal $...
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GATE Chemical 2014 | Question: 9
Integral of the time-weighted absolute error $(ITAE)$ is expressed as$\int _{0}^{\infty }\frac{\left | \varepsilon \left ( t \right ) \right |}{t^{2}}dt$$\int _{0}^{\inft...
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GATE Chemical 2014 | Question: 10
A unit $IMPLUSE$ response of a first order system with time constant $\tau$ and steady state gain $K_{p}$ is given by $\frac{1}{K_{p}\tau }e^{t/\tau }$$K_{p}e^{-t/\tau}$...
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GATE Chemical 2014 | Question: 11
In a completely opaque medium, if $50\%$ of the incident monochromatic radiation is absorbed, then which of the following statements are $CORRECT$$50\%$ of the incident r...
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GATE Chemical 2014 | Question: 12
In case of a pressure driven laminar flow of a Newtonian fluid of viscosity $(\mu)$ through a horizontal circular pipe, the velocity of the fluid is proportional to$\mu$$...
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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: 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: 2
For the time domain function $f(t)=t^{2}$, which $ONE$ of the following is the Laplace transform of $\int _{0}^{t}f\left ( t \right )dt$?$\frac{3}{s^{4}}$$\frac{1}{4s^{2}...
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GATE Chemical 2014 | Question: 3
If $f*(x)$ is the complex conjugate of $f(x)=\cos(x) + i\: \sin(x)$, then for real $a$ and $b$, $\int _{a}^{b}f*\left ( x \right )f\left ( x \right )$ is $ALWAYS$positive...
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GATE Chemical 2014 | Question: 4
If $f(x)$ is a real and continuous function of $x$, the Taylor series expansion of $f(x)$ about its minima will $NEVER$ have a term containingfirst derivativesecond deriv...
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GATE Chemical 2014 | Question: 5
From the following list, identify the properties which are equal in both vapour and liquid phases at equilibriumDensityTemperatureChemical potentialEnthalpy$P$ and $Q$ on...
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GATE Chemical 2014 | Question: 6
In a closed system, the isentropic expansion of an ideal gas with constant specific heats is represented by
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GATE Chemical 2014 | Question: 7
Match the following $$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. $\left [ \frac{\partial G}{\partial n_{i}} \right ]_{T,P,n_{\int =i}}$} & \text{I....
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GATE Chemical 2014 | Question: 1
Gradient of a scalar variable is alwaysa vectora scalara dot productzero
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GATE Chemical 2013 | Question: 61
Velocity of an object fired directly in upward direction is given by $V = 80 – 32\: t$, where $t$ (time) is in seconds. When will the velocity be between $32\: m/sec$ a...
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