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GATE Chemical 2020 | Question: 15
Annual capacity of a plant producing phenol is $100$ metric tons. Phenol sells at INR $200$ per kg, and its production cost is INR $50$ per kg. The sum of annual fixed ch...
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GATE Chemical 2020 | Question: 24
The decomposition of acetaldehyde $(X)$ to methane and carbon monoxide follows four-step free radical mechanism. The overall rate of decomposition of $X$ is $$-r_X=k_2 \b...
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GATE Chemical 2020 | Question: 30
Consider the equilibrium data for methanol-water system at $1$ bar given in the future below.A distillation column operating at $1.0$ bar is required to produce $92 \: mo...
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GATE Chemical 2020 | Question: 33
Consider steady, laminar, fully developed flow of an incompressible Newtonian fluid through two horizontal straight pipes, $I$ and $II$, of circular cross section. The vo...
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GATE Chemical 2020 | Question: 43
Liquid water is pumped at a volumetric flow rate of $0.02 \: m^3 s^{-1}$ from Tank $I$ to Tank $II$, as shown in the figure.Both the tanks are open to the atmosphere. The...
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GATE Chemical 2020 | Question: 21
An irreversible gas phase reaction $2 \textbf{P} \rightarrow 4 \textbf{Q} + \textbf{R}$ is conducted in an isothermal and isobaric batch reactor. Assume ideal gas behavio...
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GATE Chemical 2020 | Question: 34
Equilibrium data for a binary mixture of $E$ and $F$ at two different pressure is shown in the figure.It is desired to process a feed containing $80 \text{ mol } \% E$ an...
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GATE Chemical 2020 | Question: 6
In a laboratory experiment, a unit pulse input of tracer is given to an ideal plug flow reactor operating at steady state with a recycle ratio, $R=1$. The exit age distri...
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GATE Chemical 2020 | Question: 1
Which one of the following methods requires specifying an initial interval containing the root (i.e., bracketing) to obtain the solution of $f(x) =0$, where $f(x)$ is a c...
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GATE Chemical 2020 | Question: 27
The maximum value of the function $f(x)=-\dfrac{5}{3} x^3 +10x^2-15x+16$ in the interval $(0.5,3.5)$ is$0$$8$$16$$48$
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GATE Chemical 2020 | Question: 25
Sum of the eigenvalues of the matrix $\begin{bmatrix} 2 & 4 & 6 \\ 3 & 5 & 9 \\ 12 & 1 & 7 \end{bmatrix}$ is ______ (round off to nearest integer).
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GATE Chemical 2020 | Question: 4
Consider the following unit step function.The Laplace transform of this function is$\dfrac{e^{-3s}}{s} \\ $$\dfrac{e^{-3s}}{s^2} \\$$\dfrac{e^{-3s}}{3s} \\$$\dfrac{e^{-6s...
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GATE Chemical 2020 | Question: 26
In a box, there are $5$ green balls and $10$ blue balls. A person picks $6$ balls randomly. The probability that the person has picked $4$ green balls and $2$ blue balls ...
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GATE Chemical 2020 | Question: 31
Consider the gas phase reaction $N_2O_4 \rightleftarrows 2NO_2$ occuring in an isothermal and isobaric reactor maintained at $298 K$ and $1.0$ bar. The standard Gibbs ene...
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GATE Chemical 2020 | Question: 22
Consider two Carnot engines $C_1$ and $C_2$ as shown in the figure.The efficiencies of the engines $C_1$ and $C_2$ are $0.40$ and $0.35$, respectively. If the temperature...
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GATE Chemical 2020 | Question: 52
Flow of water thorough an equal percentage valve is $900 \text{ litre } h^{-1}$ at $30 \%$ opening, and $1080 \text{ litre } h^{-1}$ at $35 \%$ opening. Assume that the p...
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GATE Chemical 2020 | Question: 32
A tank initially contains a gas mixture with $21\:mol\:\% $ oxygen and $79\:mol\:\%$ nitrogen. Pure nitrogen enters the tank, and a gas mixture of nitrogen and oxygen exi...
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GATE Chemical 2020 | Question: 49
An exothermic, aqueous phase, irreversible, first order reaction, $Y \rightarrow Z$ is carried out in an ideal continuous stirred tank reactor (CSTR) operated adiabatical...
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GATE Chemical 2020 | Question: 46
A vertically held packed bed has a height of $1 \: m$, and void fraction of $0.1$, when there is no flow through the bed. The incipient (minimum) fluidization is set in b...
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GATE Chemical 2020 | Question: 55
Consider the following dataset.$$\begin{array}{|c|c|c|c|c|c|} \hline x & 1 & 3 & 5 & 15 & 25 \\ \hline f(x) & 6 & 8 & 10 & 12 & 5 \\ \hline \end{array}$$The value of the ...
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GATE Chemical 2020 | Question: 23
Consider the following closed loop system with $G_p$ and $G_c$ as the transfer functions of the process and the controller, respectively.For a unit step change in the set...
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GATE Chemical 2020 | Question: 50
The liquid phase irreversible reactions, $P \xrightarrow[]{k_1} Q$ and $P \xrightarrow[]{k_2} R$, are carried out in an ideal continuous stirred tank reactor (CSTR) opera...
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GATE Chemical 2020 | Question: 40
Consider one mole of an ideal gas in a closed system. It undergoes a change in state from $L$ to $N$ through two different non-isothermal processes, as shown in the $P-V$...
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GATE Chemical 2020 | Question: 39
A pure gas obeys the equation of state given by $$\dfrac{PV}{RT} = 1 + \dfrac{BP}{RT}$$ where $P$ is the pressure, $T$ is the absolute temperature, $V$ is the molar volum...
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GATE Chemical 2020 | Question: 47
Two ideal cross-current stages operate to extract $P$ from a feed containing $P$ and $Q$, as shown below.The mass flow rates of $P$ and $Q$ fed to Stage $1$ are $1,000 \:...
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GATE Chemical 2020 | Question: 54
Given $\dfrac{dy}{dx}=y-20$, and $y \mid_{x=0}=40$, the value of $y$ at $x=2$ is _________ (round off to nearest integer)
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GATE Chemical 2020 | Question: 20
Leidenfrost phenomenon refers tothe condensation of vapour on a cold surfacethe exchange of heat between two solidsthe melting of frostfilm boiling and evaporation of liq...
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GATE Chemical 2020 | Question: 28
$SO_2$ from air is absorbed by pure water in a counter current packed column operating at constant pressure. The compositions and the flow rates of the streams are shown ...
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GATE Chemical 2020 | Question: 44
An elementary liquid phase reversible reaction $P \leftrightarrows Q$ is carried out in an ideal continuous stirred tank reactor (CSTR) operated at steady state. The rate...
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GATE Chemical 2020 | Question: 7
The square of Thiele modulus, $M_{T}$, is given by $M_{T}^2 = \dfrac{L^2k}{D_{eff}}$, where $L$ is the characteristic length of the catalyst pellet, $k$ is the rate const...
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GATE Chemical 2020 | Question: 10
Consider a batch distillation process for an equimolar mixture of benzene and toluene at atmospheric pressure. The mole fraction of benzene in the distillate collected af...
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GATE Chemical 2020 | Question: 35
A hollow cylinder of equal length and inner diameter (i.e., $L=D$) is sealed at both ends with flat plate, as shown in the figure. Its inner surfaces, $A_1$, $A_2$, and $...
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GATE Chemical 2020 | Question: 13
Consider the refinery processes in $\textbf{Group-I}$ and the catalysts in $\textbf{Group-2}$.$\begin{array}{llll} & \textbf{Group-I} && \textbf{Group-2} \\ \textbf{P} & ...
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GATE Chemical 2020 | Question: 41
A fluid is heated from $40^{\circ}C$ to $60^{\circ} C$ in a countercurrent, double pipe heat exchanger. Hot fluid enters at $100^{\circ}C$ and exits at $70^{\circ}C$. The...
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GATE Chemical 2020 | Question: 3
Consider the following continuously differentiable function $$\textbf{v}(x,y,z)=3x^2y \textbf{ i} + 8y^2z \textbf{ j} + 5xyz \textbf{ k}$$ where $\textbf{i, j,}$ and $\te...
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GATE Chemical 2020 | Question: 53
Consider the following closed loop system.$G_c, G_f$ , and $G_p$ are the transfer functions of the controller, the final control element and the process, respectively. $Y...
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GATE Chemical 2020 | Question: 51
A catalytic gas phase reaction $P \rightarrow Q$ is conducted in an isothermal packed bed reactor operated at steady state. The reaction is irreversible and second order ...
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GATE Chemical 2020 | Question: 12
The operating temperature range for the Haber process is $350-500^{\circ}C$. It is used for the production of ammonia at$20 \:MPa$ using $Fe$ catalyst in an exothermic re...
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GATE Chemical 2020 | Question: 9
Pure gas $\textbf{P}$ is being absorbed into a liquid. The dissolved $\textbf{P}$ undergoes an irreversible reaction in the liquid film. The reaction is first order with ...
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GATE Chemical 2020 | Question: 5
In a constant-pressure cake filtration with an incompressible cake layer, volume of the filtrate $(V)$ is measured as a function of time $t$. The plot of $t/V$ versus $V$...
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