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GATE Chemical 2016 | Question: 28
The model $y=mx^{2}$ is to be fit to the data given below.$$\begin{array}{|cl|cI|}\hline&{x} & {1} & {\sqrt{2}} & {\sqrt{3}} \\ \hline &{y} & {2} & {5} & {8} \\ \hline \e...
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GATE Chemical 2016 | Question: 33
A gas obeying the Clausius equation of state is isothermally compressed from $5\:Mpa$ to $15\:MPa$ in a closed system at $400\:K$. The Clausius equation of state is $P=\f...
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GATE Chemical 2016 | Question: 40
In a $1-1$ pass shell and tube exchanger, steam is condensing in the shell at a temperature $(T_{s})$ of $135^{\circ}C$ and the cold fluid is heated from a temperature $(...
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GATE Chemical 2012 | Question: 37
Consider the drying operation shown in the figure below for a solid loading (dry basis) of $50 \text{ kg/m}^{2}$ with a constant drying rate of $5\: \text{kg/m$^{2}$.h.}$...
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GATE Chemical 2015 | Question: 16
For a pure liquid, the rate of change of vapour pressure with temperature is $0.1$ bar/$K$ in the temperature range of $300$ to $350\:K$. If the boiling point of the liqu...
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GATE Chemical 2015 | Question: 22
A cylindrical packed bed of height $1\:m$ is filled with equal sized spherical particles. The particles are nonporous and have a density of $1500$ kg/$m^{3}$. The void fr...
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GATE Chemical 2015 | Question: 38
The solution of the non-linear equation$$x^{3}-x=0$$is to be obtained using Newton-Raphson method. If the initial guess is $x=0.5$, the method converges to which one of t...
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GATE Chemical 2015 | Question: 46
A typical batch filtration cycle consists of filtration followed by washing. One such filtration unit operating at constant pressure difference first filters a slurry dur...
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GATE Chemical 2017 | Question: 32
The pressure of a liquid is increased isothermally. The molar volume of the liquid decreases from $50.45\times 10^{-6}$ $m^{3}$/mol to $48\times 10^{-6}$ $m^{3}$/mol duri...
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GATE Chemical 2017 | Question: 43
The Sherwood number $(Sh_{L})$ correlation for laminar flow over a flat plate of length $L$ is given by$$Sh_{L}=0.664\:Re_{L}^{-0.5}\:Sc^{1/3}$$where $Re_{L}$ and $Sc$ re...
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GATE Chemical 2016 | Question: 35
Water (density=$1000\:kg\:m^{-3}$) is pumped at a rate of $36\:m^{3}/h$, from a tank $2\:m$ below the pump, to an overhead pressurized vessel $10\:m$ above the pump. The ...
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GATE Chemical 2016 | Question: 51
A liquid flows through an “equal percentage” valve at a rate of $2\:m^{3}/h$ when the valve is $10\%$ open. When the valve opens to $20\%$ the flowrate increases to $...
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GATE Chemical 2016 | Question: 55
A catalytic reforming plant produces hydrogen and benzene from cyclohexane by de-hydro aromatisation. In order to increase the production of hydrogen, the owner plans to ...
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GATE Chemical 2015 | Question: 5
If $\log_{x}$ $(5/7)=-1/3$, then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$
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GATE Chemical 2015 | Question: 10
Humpty Dumpty sits on a wall every day while having launch. The wall sometimes breaks. A person sitting on the wall falls if the wall breaks.Which one of the statements b...
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GATE Chemical 2015 | Question: 41
An ideal gas is initially at a pressure of $0.1\:MPa$ and a total volume of $2\:m^{3}$. It is first compressed to $1\:MPa$ by a reversible adiabatic process and then cool...
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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: 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: 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 2017 | Question: 35
Oil is being delivered at a steady flowrate through a circular pipe of radius $1.25\times10^{-2}\:m$ and $10\:m$. The pressure drop across the pipe is $500\:Pa$.The shear...
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GATE Chemical 2016 | Question: 11
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...
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GATE Chemical 2016 | Question: 24
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:$$\begin{array}{clcIcI|cI|cI|c}\hl...
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GATE Chemical 2016 | Question: 26
A set of simultaneous linear algebraic equations is represented in a matrix form as shown below.$\begin{bmatrix} 0 &0 &0 &4 &13 \\ 2& 5& 5& 2& 10\\ 0&0 &2 &5 &3 \\ 0&0 &0...
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GATE Chemical 2016 | Question: 36
An agitated cylinder vessel is fitted with baffles and flat blade impellers. The power number for this system is given by $N_{p}=\frac{P}{\rho n^{3}D^{5}}$ where $P$ is t...
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GATE Chemical 2016 | Question: 39
Water flows through a smooth circular pipe under turbulent conditions. In the viscous sub-layer, the velocity varies linearly with the distance from the wall. The Fanning...
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GATE Chemical 2016 | Question: 53
For a unit step input, the response of a second order system is$$y\left ( t \right )=K_{p} \left [ 1-\frac{1}{\sqrt{1-\zeta ^{2}}} e^{\frac{\zeta t}{\tau }}\sin\left ( \f...
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GATE Chemical 2015 | Question: 4
Operators $\square$ , $\lozenge$ and ${\rightarrow}$ are defined by: $a\:\square \:b=\frac{a-b}{a+b}; \:a\:\lozenge \:b=\frac{a+b}{a-b};\:a\rightarrow b=ab.$ Find the val...
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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 2016 | Question: 5
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 ...
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GATE Chemical 2016 | Question: 7
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...
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GATE Chemical 2016 | Question: 15
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...
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GATE Chemical 2016 | Question: 37
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\;...
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GATE Chemical 2015 | Question: 17
Three identical closed systems of a pure gas are taken from an initial temperature and pressure $(T_{1},P_{1})$ to a final state $(T_{2},P_{2})$, each by a different path...
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GATE Chemical 2015 | Question: 26
A spherical naphthalene ball of $2\:mm$ diameter is subliming very slowly in stagnant air at $25^{\circ}C$. The change in the size of the ball during the sublimation can ...
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GATE Chemical 2016 | Question: 21
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...
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GATE Chemical 2015 | Question: 18
For a gas phase cracking reaction $A{\rightarrow}B+C$ at $300^{\circ}$, the Gibbs free energy of the reaction at this temperature is $\Delta G^{\circ}=-2750$ $J$/mol. The...
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GATE Chemical 2015 | Question: 30
Match the output signals as obtained from four measuring devices in response to a unit step change in the input signal.$\begin{array}{cc}\&\text{P. Gas chromatograph, wit...
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GATE Chemical 2015 | Question: 43
A binary mixture of components $(1)$ and $(2)$ forms an azeotrope at $130^{\circ}C$ and $X_{1}=0.3$. The liquid phase non-ideality is described by In $\gamma _{1}=Ax{_{2}...
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GATE Chemical 2015 | Question: 45
A centrifugal pump delivers water at the rate of $0.22 m^{3}/s$ from a reservoir at ground level to another reservoir at a height $H$,through a vertical pipe ot $0.2\:m$ ...
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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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