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GATE CH 2021 | Question: 36
For the ordinary differential equation $\dfrac{d^3y}{dt^3}+6 \dfrac{d^2y}{dt^2}+11 \dfrac{dy}{dt}+6y=1$ with ... $3$ decimal places).
For the ordinary differential equation $$\dfrac{d^3y}{dt^3}+6 \dfrac{d^2y}{dt^2}+11 \dfrac{dy}{dt}+6y=1$$ with initial conditions $y(0)=y’(0) = y’’(0)=y’’’(0)...
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GATE CH 2021 | Question: 37
Formaldehyde is produced by the oxidation of methane in a reactor. The following two parallel reactions occur. ... reactor is _______ $\text{mol s}^{-1}$
Formaldehyde is produced by the oxidation of methane in a reactor. The following two parallel reactions occur.$$CH_4+O_2 \rightarrow HCHO+H_2O \\ CH_4 +2O_2 \rightarrow C...
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GATE CH 2021 | Question: 38
The combustion of carbon monoxide is carried out in a closed, rigid and insulated vessel. $1 \text{ mol}$ ... is ___________ bar (round off to $1$ decimal place).
The combustion of carbon monoxide is carried out in a closed, rigid and insulated vessel. $1 \text{ mol}$ of $CO$, $0.5 \text{ mol}$ of $O_2$ and $2 \text{ mol}$ of $N_2$...
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GATE CH 2021 | Question: 39
A gaseous mixture at $1$ bar and $300 \: K$ consists of $20 \text{ mol } \% \: CO_2$ ... and pressure is ________ $\text{kJ}$ (round off to nearest integer)
A gaseous mixture at $1$ bar and $300 \: K$ consists of $20 \text{ mol } \% \: CO_2$ and $80 \text{ mol } \%$ inert gas.Assume the gases to be ideal. Take $R=8.314 \text{...
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GATE CH 2021 | Question: 40
A binary liquid mixture consists of two species $1$ and $2$. Let $\gamma$ and $x$ represent the activity ... mole fraction is ___________ ( correct to $3$ decimal places)
A binary liquid mixture consists of two species $1$ and $2$. Let $\gamma$ and $x$ represent the activity coefficient and the mole fraction of the species, respectively. U...
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GATE CH 2021 | Question: 41
Consider a tank filled with $3$ immiscible liquid $A$, $B$ and $C$ at static equilibrium, as shown in the figure. At ... that is wetted by liquid $B$ is _______ $\text{cm}$
Consider a tank filled with $3$ immiscible liquid $A$, $B$ and $C$ at static equilibrium, as shown in the figure. At $2 \: cm$ below the liquid $A$- liquid $B$ interface,...
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GATE CH 2021 | Question: 42
Seawater is passed through a column containing a bed of resin beads. Density of seawater $=1025 \: \text{ kg m}^{-3}$ ... (round off to nearest integer).
Seawater is passed through a column containing a bed of resin beads.Density of seawater $=1025 \: \text{ kg m}^{-3}$Density of resin beads $=1330 \text{ kg m}^{-3}$Diame...
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GATE CH 2021 | Question: 43
A straight fin of uniform circular cross section and adiabatic tip has an aspect ratio (length/diameter) of $4$. If ... is ___________ $\%$ (round off to nearest integer).
A straight fin of uniform circular cross section and adiabatic tip has an aspect ratio (length/diameter) of $4$. If the Biot number (based on the radius of the fin as the...
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GATE CH 2021 | Question: 44
A double-effect evaporator is used to concentrate a solution. Steam is sent to the first effect at ... is _________$^\circ C$ (round off to nearest integer)
A double-effect evaporator is used to concentrate a solution. Steam is sent to the first effect at $110\:^{\circ} C$ and the boiling point of the solution in the second e...
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GATE CH 2021 | Question: 45
Consider a solid slab of thickness $2L$ and uniform cross section $A$. The volumetric rate of heat generation within ... slab is _______ $K$ (round off to nearest integer).
Consider a solid slab of thickness $2L$ and uniform cross section $A$. The volumetric rate of heat generation within the slab is $\dot{g} \: (W \: m^{-3})$. The slab lose...
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GATE CH 2021 | Question: 46
A distillation column handling a binary mixture of $A$ and $B$ is operating at total reflux. It has two ideal stages ... $2$ decimal places).
A distillation column handling a binary mixture of $A$ and $B$ is operating at total reflux. It has two ideal stages including the reboiler. The mole fraction of the more...
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GATE CH 2021 | Question: 47
In a batch drying experiment, a solid with a critical moisture content of $0.2 \: kg$ $H_2O/kg$ dry solid is dried ... is _______ $kg/m^2$ (round off to nearest integer).
In a batch drying experiment, a solid with a critical moisture content of $0.2 \: kg$ $H_2O/kg$ dry solid is dried from an initial moisture content of $0.35 \: kg$ $H_2O/...
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GATE CH 2021 | Question: 48
As shown in the figure below, air flows in parallel to a freshly painted solid surface of width $10 \: m$, along ... $2$ decimal places).
As shown in the figure below, air flows in parallel to a freshly painted solid surface of width $10 \: m$, along the $z$-direction.The equilibrium vapor concentration of ...
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GATE CH 2021 | Question: 49
The following isothermal autocatalytic reaction ... time of the $\text{CSTR}$ is _________ seconds.
The following isothermal autocatalytic reaction $$ A +B \longrightarrow 2B \quad\quad\quad(-r_A)=0.1C_AC_B(\text{mol } L^{-1} s^{-1})$$is carried out in an ideal continuo...
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GATE CH 2021 | Question: 50
Reactant $A$ decomposes to products $B$ and $C$ in the presence of an enzyme in a well-stirred batch reactor. The ... $\text{min}$ (round off to $2$ decimal places).
Reactant $A$ decomposes to products $B$ and $C$ in the presence of an enzyme in a well-stirred batch reactor. The kinetic rate expression is given by$$-r_A = \dfrac{0.01C...
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GATE CH 2021 | Question: 51
The following homogeneous, irreversible reaction involving ideal gases, ... meter. (round off to $2$ decimal places).
The following homogeneous, irreversible reaction involving ideal gases, $$A \longrightarrow B+C \quad\quad\quad(-r_A)=0.5C_A (\text{mol L}^{-1} s^{-1})$$ is carried out i...
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GATE CH 2021 | Question: 52
A system has a transfer function $G(s)= \dfrac{3e^{-4s}}{12s+1}$. When a step change of magnitude $M$ is ... is measured to be $120$. The value of $M$ is ____________.
A system has a transfer function $G(s)= \dfrac{3e^{-4s}}{12s+1}$. When a step change of magnitude $M$ is given to the system input, the final value of the system output i...
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GATE CH 2021 | Question: 53
A person has a transfer function $G(s)= \dfrac{Y(s)}{X(s)} = \dfrac{20}{90000s^2+240s+1}$. Initially ... new steady state is __________ (round off to $1$ decimal place).
A person has a transfer function $G(s)= \dfrac{Y(s)}{X(s)} = \dfrac{20}{90000s^2+240s+1}$. Initially the process is at steady state with $x(t=0)=0.4$ and $y(t=0)=100$. If...
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GATE CH 2021 | Question: 54
Operating labor requirements $L$ ... is _______(round off to nearest integer).
Operating labor requirements $L$ in the chemical process industry is described in terms of the plant capacity $C ( \text{kg day}^{-1})$ over a wide range $(10^3-10^6)$ by...
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GATE CH 2021 | Question: 55
A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of ... is _______ meter (round off to $3$ decimal places).
A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of pipe is given by $$C_{\text{pump}} = \dfrac{48.13\: q^2 ...
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GATE Chemical 2020 | GA Question: 1
Rajiv Gandhi Khel Ratna Award was conferred ______ Mary Kom, a six-time world champion in boxing, recently in a ceremony _____ the Rashtrapati Bhawan (the President’s o...
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GATE Chemical 2020 | GA Question: 2
Despite a string of poor performances, the chances of $K.L.$ Rahul’s selection in the team are ________slimbrightobviousuncertain
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GATE Chemical 2020 | GA Question: 3
Select the word that fits the analogy:$\text{Cover : Uncover :: Associate :}$ _______UnassociateInassociateMisassociateDissociate
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GATE Chemical 2020 | GA Question: 4
Hit by floods, the kharif (summer sown) crops in various parts of the country have been affected. Officials believe that the loss in production of the kharif crops can be...
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GATE Chemical 2020 | GA Question: 5
The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______$n^2-n$$n^2+n$$2n^2-n$$2n^2+n$
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GATE Chemical 2020 | GA Question: 6
Repo rate is the rate at which Reserve Bank of India $\text{(RBI)}$ lends commercial banks, and reverse repo rate is the rate at which $\text{(RBI)}$ borrows money from c...
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GATE Chemical 2020 | GA Question: 7
$P,Q,R,S,T,U,V,$ and $W$ are seated around a circular table.$S$ is seated opposite to $W$$U$ is seated at the second place to the right of $R$$T$ is seated at the third p...
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GATE Chemical 2020 | GA Question: 8
The distance between Delhi and Agra is $233$ km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road $1$ ho...
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GATE Chemical 2020 | GA Question: 9
For a matrix $M=[m_{ij}]; \: i,j=1,2,3,4$, the diagonal elements are all zero and $m_{ij}=-m_{ji}$. The minimum number of elements required to fully specify the matrix is...
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GATE Chemical 2020 | GA Question: 10
The profit shares of two companies $P$ and $Q$ are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the tota...
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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: 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: 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: 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 $$-r_X=k_2 \b...
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GATE Chemical 2020 | Question: 25
Sum of the eigenvalues of the matrix $\begin{bmatrix} 2 & 4 & 6 \\ 3 & 5 & 9 \\ 12 & 1 & 7 \end{bmatrix}$ is ______ (round off to nearest integer).
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GATE Chemical 2020 | Question: 26
In a box, there are $5$ green balls and $10$ blue balls. A person picks $6$ balls randomly. The probability that the person has picked $4$ green balls and $2$ blue balls ...
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GATE Chemical 2020 | Question: 27
The maximum value of the function $f(x)=-\dfrac{5}{3} x^3 +10x^2-15x+16$ in the interval $(0.5,3.5)$ is$0$$8$$16$$48$
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GATE Chemical 2020 | Question: 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: 29
Two film theory applies for absorption of a solute from a gas mixture into a liquid solvent. The interfacial mass transfer coefficient (in $mol \: m^{-2} \: s^{-1}$) for ...
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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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