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GATE Chemical 2015 | Question: 49
A heated solid copper sphere (of surface area $A$ and volume $V$) is immersed in a large body of cold fluid. Assume the resistance to heat transfer inside the sphere to b...
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GATE Chemical 2015 | Question: 50
Air is flowing at a velocity of $3\:m/s$ perpendicular to a long pipe as shown in the figure below. The outer diameter of the pipe is $d=6\:cm$ and temperature at the out...
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GATE Chemical 2015 | Question: 51
Consider a solid block of unit thickness for which the thermal conductivity decreases with an increase in temperature. The opposite faces of the block are maintained at c...
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GATE Chemical 2015 | Question: 52
A multi-stage, counter-current liquid-liquid extractor is used to separate solute $C$ from a binary mixture $(F)$ of $A$ and $C$ using solvent $B$. Pure solvent $B$ is re...
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GATE Chemical 2015 | Question: 53
A binary feed consisting of $25$ mol$\%$ liquid and $75$ mol$\%$ vapour is separated in a staged distillation column. The mole fraction of the more volatile component in ...
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GATE Chemical 2015 | Question: 54
Consider a steady state mass transfer process between well-mixed liquid and vapour phases of a binary mixture comprising of components $A$ and $B$. The mole fractions of ...
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GATE Chemical 2015 | Question: 55
Adsorption on activated carbon is to be used for reducing phenol concentration in wastewater from $0.04$ mol/$1$ to $0.008$ mol/$1$. The adsorption isotherm at the operat...
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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 2015 | Question: 57
A catalyst slab of half-thickness $L$ (the width and length of the slab $>>\:L$) is used to conduct thefirst order reaction $A{\rightarrow} B$. At $450\: K$, the Thiele m...
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GATE Chemical 2015 | Question: 58
The impulse response to a tracer pulse experiment or a flow reactor is given below :In the above figure, $C$ is the exit tracer concentration. The corresponding $E$ or $E...
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GATE Chemical 2015 | Question: 59
An isothermal steady state mixed flow reactor $(CSTR)$ of $1\:m^{3}$ volume is used to carry out the first order liquid-phase reaction $A{\rightarrow}$ products. Fresh fe...
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GATE Chemical 2015 | Question: 60
Which one of the following transfer functions, upon a unit step change in disturbance at $t=0$, will show a stable time domain response with a negative initial slope (i.e...
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GATE Chemical 2015 | Question: 61
The block diagram for a process with feedback control for output deviation $h$ is shown in the figure below. All transfer functions are given with pre-factor of $s$ in mi...
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GATE Chemical 2015 | Question: 62
Consider a control system with the open loop transfer function given by :$G_{OL}\left ( s \right )=\frac{K_{c}e^{-0.3z}}{1.5s+1}$In the above function, pre-factor of $s$ ...
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GATE Chemical 2015 | Question: 63
The cost of two independent process variables $f_{1}$ and $f_{2}$ affects the total cost $C_{T}$ (in lakhs of rupees) of the process as per the following function :$$C_{T...
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GATE Chemical 2015 | Question: 64
A proposed chemical plant is estimated to have a fixed capital $(FC)$ of $Rs$. $24$ crores. Assuming other costs to be small, the total investment may be taken to be same...
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GATE Chemical 2015 | Question: 65
Select the $\text{WRONG}$ statement regarding water gas shift converters from the list below.Inter-stage cooling is provided between the two stages of shift converters Us...
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GATE Chemical 2014 | Question: 55
Match the raw materials of Group-$1$ and $2$ with the final products of Group-$3$$$\begin{array}&&\textbf{Group 1} & \textbf{Group 2} & \textbf{Group 3} \\ &\text{P$_{1}$...
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GATE Chemical 2014 | Question: 54
Determine the correctness or otherwise of the following Assertion $[a]$ and Reason $[r]$Assertion: Significant combustion of coke takes place only if it is heated at high...
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GATE Chemical 2014 | Question: 53
Consider the following block diagram for a closed-loop feedback control system A proportional controller is being used with $K_{c}=-4$. If a step change in distrubance of...
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GATE Chemical 2014 | Question: 52
A process with transfer function, $G_{p}=\frac{2}{s-1}$ is to be controlled by a feedback proportional controller with a gain $K_{c}$. If the transfer functions of all ot...
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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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