#601
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What are the modulus $\left ( r \right )$ and argument $\left ( \theta \right )$ of the complex number $3+4i$ ?$r=\sqrt{7}, \theta =tan^{-1}\left ( \frac{4}{3} \right )$$...
#602
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A liquid mixture of ethanol and water is flowing as inlet stream $P$ into a stream splitter. It is split into two streams, $Q$ and $R$, as shown in the figure below.The f...
#603
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The partial molar enthalpy (in $kJ$/mol) of species $1$ in a binary mixture is given by $\bar{h}_{1}=2 -60x_{2}^{2}+100x^{1}x_{2}^{2},$ where $x_{1}$ and $x_{2}$ are the ...
#604
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For a flow through a smooth pipe, the Fanning friction factor $(f)$ is given by $f=mRe^{-0.2}$ in the turbulent flow regime, where $Re$ is the Reynolds number and $m$ is ...
#605
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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...
#606
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A vertical cylindrical vessel has a layer of kerosene (of density $800\: kg/m^{3}$) over a layer of water (of density $1000 \:kg/m^{3}$). $L$ – shaped glass tubes are con...
#607
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A composite wall is made of four different materials of construction in the fashion shown below. The resistance (in $K/W$) of each sections of the wall is indicated in th...
#608
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Steam at $100^{\circ}C$ is condensing on a vertical steel plate. The condensate flow is laminar. The average Nusselt numbers are $Nu_{1}$ and $Nu_{2}$, When the plate tem...
#609
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A binary liquid mixture of benzene and toluene contains $20$ mol$\%$ of benzene. At $350 \:K$ the vapour pressures of pure benzene and pure toluene are $92\: kPa$ and $35...
#610
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Match the dimensionless numbers in $Group–I$ with the ratios in $Group–2$.$\begin{array}{cc}\\&\text{Group-1} & \text{Group-2} \\ &\text{P. Biot number} & \text{ I. $\fr...
#611
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For what value of Lewis number, the wet-bulb temperature and adiabatic saturation temperature are nearly equal?$0.33$$0.5$$1$$2$
#612
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For a non-catalytic homogeneous reaction $A\rightarrow B$, the rate expression at $300\:K$ is $-r_{A}$$\left (mol\; m^{-3} s^{-1}\right )=\frac{10C_{A}}{1+5C_{A}}$...
#613
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The variations of the concentration $\left ( C_{A} ,C_{R}\:and\:C_{S}\right )$ for three species $\left ( A,R\:and\:S \right )$ with time, in an isothermal homogeneous ba...
#614
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Hydrogen iodide decomposes through the reaction $2HI\leftrightharpoons H_{_{2}}+I_{2}$. The value of the universal gas constant $R$ is $8.314 \:J\:mol^{-1}K^{-1}$. The ac...
#615
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Match the instruments in $Group–I$ with process variable in $Group–2$.$\begin{array}{cc}\\&\text{Group-1} & \text{Group-2} \\ &\text{P. Conductivity meter} & \text{ I. Fl...
#616
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What is the order of response exhibited by a $U$-tube manometer? Zero orderFirst orderSecond orderThird order
#617
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A system exhibits inverse response for a unit step change in the input. Which one of the following statement must necessarily be satisfied?The transfer function of the sy...
#618
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Two design options for a distillation system are being compared based on the total annual cost. Information available is as follows:$$\begin{array}{clcIcIcI|cI|c}\hline&...
#619
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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...
#620
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Terms used in engineering economics have standard definitions and interpretations. Which one of the following statements is $INCORRECT$?The profitability measure 'return ...
#621
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India has no elemental sulphur deposits that can be economically exploited. In India, which one of the following industries produces elemental sulphur as a by-product?Co...
#622
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Two paper pulp plants $P$ and $Q$ use the same quality of bamboo as a raw material. The chemicals used in their digester are as follows:$$\begin{array}{clcIcI|cI|cI|c}\hl...
#623
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Match the industrial processes in $Group–I$ with the catalyst materials in $Group–2$.$\begin{array}{cc}\\ \\&\text{Group-1} & \text{Group-2} \\ &\text{P. Ethylene polyme...
#624
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A set of simultaneous linear algebraic equations is represented in a matrix form as shown below.$\begin{bmatrix} 0 &0 &0 &4 &13 \\ 2& 5& 5& 2& 10\\ 0&0 &2 &5 &3 \\ 0&0 &0...
#625
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What is the solution for the second order differential equation $\frac{\mathrm{d} ^{2}y}{\mathrm{d} x}^{2}+y=0$, with the initial conditions $y\left | _{x-0}=5\:and\:\fra...
#626
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The model $y=mx^{2}$ is to be fit to the data given below.$$\begin{array}{|cl|cI|}\hline&{x} & {1} & {\sqrt{2}} & {\sqrt{3}} \\ \hline &{y} & {2} & {5} & {8} \\ \hline \e...
#627
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The Lagrange mean-value theorem is satisfied for $f\left ( x \right )=x^{3}+5$, in the interval $\left ( 1,4 \right )$ at a value (rounded off to the second decimal place...
#628
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Values of $f\left ( x \right )$ in the interval $\left [ 0,4 \right ]$ are given below.$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&{x} & \text{0} & \text{1} & \text{2} & \t...
#629
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A jacketed stirred tank with a provision for heat removal is used to mix sulphuric acid and water in a steady state flow process. $H_{2}SO_{4}$ $(l)$ enters at a rate of ...
#630
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An ideal gas is adiabatically and irreversibly compressed from $3$ bar and $300\:K$ to $6$ bar in a closed system. The work required for the irreversible compression is $...
#631
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A gas obeying the Clausius equation of state is isothermally compressed from $5\:Mpa$ to $15\:MPa$ in a closed system at $400\:K$. The Clausius equation of state is $P=\f...
#632
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A binary system at a constant pressure with species $’1’$ and $’2’$ is described by the two-suffix Margules equation, $\frac{g^{E}}{RT}=3x_{1}x_{2}$, where $g^{E}$ is the...
#633
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Water (density=$1000\:kg\:m^{-3}$) is pumped at a rate of $36\:m^{3}/h$, from a tank $2\:m$ below the pump, to an overhead pressurized vessel $10\:m$ above the pump. The ...
#634
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An agitated cylinder vessel is fitted with baffles and flat blade impellers. The power number for this system is given by $N_{p}=\frac{P}{\rho n^{3}D^{5}}$ where $P$ is t...
#635
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Consider a rigid solid sphere falling with a constant velocity in a fluid. The following data are known at the conditions of interest: viscosity of the fluid = $0.1\:Pa\;...
#636
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The characteristics curve (Head-Capacity relationship) of a centrifugal pimp is represented by the equation $\Delta H_{pump}=43.8-0.19Q$, where $\Delta H_{pump}$ is the h...
#637
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Water flows through a smooth circular pipe under turbulent conditions. In the viscous sub-layer, the velocity varies linearly with the distance from the wall. The Fanning...
#638
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In a $1-1$ pass shell and tube exchanger, steam is condensing in the shell at a temperature $(T_{s})$ of $135^{\circ}C$ and the cold fluid is heated from a temperature $(...
#639
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In an experiment setup, mineral oil is filled in between the narrow gap of two horizontal smooth plates. The setup has arrangements to maintain the plates at desired unif...
#640
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The space between two hollow concentric spheres of radii $0.1\:m$ and $0.2\:m$ is under vacuum. Exchange of radiation (uniform in all directions) occurs only between the ...