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GATE CH 2022 | Question: 41
Two reservoirs located at the same altitude are connected by a straight horizontal pipe of length $120\:m$ and inner ... $\text{kW}$ (rounded off to one decimal place).
Two reservoirs located at the same altitude are connected by a straight horizontal pipe of length $120\:m$ and inner diameter $0.5\:m$, as shown in the figure. A pump tra...
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GATE CH 2022 | Question: 42
A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water ... (rounded off to two decimal places)
A venturi meter (venturi coefficient, $C_{v} = 0.98$) is connected to a pipe of inner diameter $50$ $\text{mm}$. Water (density $1000\:kg\:m^{-3}$) is flowing through the...
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GATE CH 2022 | Question: 43
In a constant-rate cake filtration operation, the collected filtrate volumes are $120\:m^{3}$ ... $\text{kPa}$ (rounded off to the nearest integer).
In a constant-rate cake filtration operation, the collected filtrate volumes are $120\:m^{3}$ and $240\:m^{3}$ at $1$ min and $2$ min, respectively. Assume the cake resis...
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GATE CH 2022 | Question: 44
A cylindrical fin of diameter $24$ $\text{mm}$ is attached horizontally to a vertical planar wall. The heat transfer ... $\text{mm}$ (rounded off to the nearest integer).
A cylindrical fin of diameter $24$ $\text{mm}$ is attached horizontally to a vertical planar wall. The heat transfer rate from the tin to the surrounding ar is $60\%$ of ...
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GATE CH 2022 | Question: 45
A single-effect evaporator with a heat transfer area of $70\:m^{2}$ concentrates a salt solution using steam. The salt ... (rounded off to the nearest integer).
A single-effect evaporator with a heat transfer area of $70\:m^{2}$ concentrates a salt solution using steam. The salt solution feed rate and temperature are $10000\:kg\:...
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GATE CH 2022 | Question: 46
An equimolar binary mixture is to be separated in a simple tray-distillation column. The feed rate is ... ratio is __________ (rounded off to two decimal places).
An equimolar binary mixture is to be separated in a simple tray-distillation column. The feed rate is $50\text{ kmol min}^{-1}$ . The mole fractions of the more volatile ...
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GATE CH 2022 | Question: 47
The dry-bulb temperature of air in a room is $30^{\circ}C$ ... = ____________ (rounded off to one decimal place).
The dry-bulb temperature of air in a room is $30^{\circ}C$. The Antoine equation for wateris given as $$\text{ln} P^{sat} = 12.00 -\frac{4000}{T - 40}$$ where $T$ is the ...
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GATE CH 2022 | Question: 48
In the block diagram shown in the figure, the transfer function ... remains stable is ___________________ (rounded off to two decimal places).
In the block diagram shown in the figure, the transfer function $G = \dfrac{K}{\left ( \tau s + 1 \right )}$ with $K 0$ and $\tau 0$. The maximum value of $K$ below whi...
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GATE CH 2022 | Question: 49
Consider the tank level control system shown in the figure, where the cross-section area of the tank is ... is _____________________ (rounded off to the nearest integer).
Consider the tank level control system shown in the figure, where the cross-section area of the tank is $A$. Assume perfect flow controllers $\text{(FC)}$. The level cont...
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GATE CH 2022 | Question: 50
Consider a single-input-single-output $\text{(SISO)}$ ... is ______________ minutes (rounded off to two decimal places).
Consider a single-input-single-output $\text{(SISO)}$ system with the transfer function $$G_{P}\left ( s \right ) =\frac{2\left ( s + 1 \right )}{\left ( \dfrac{1}{2} s +...
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GATE CH 2022 | Question: 51
Information for a proposed greenfield project is provided in the table. The discounted cash flow for the fourth year is Rs ...
Information for a proposed greenfield project is provided in the table. The discounted cash flow for the fourth year is Rs ___________________ crores (rounded off to one ...
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GATE CH 2022 | Question: 52
Consider the process in the figure. The liquid phase elementary reactions ... fresh feeds, process exit streams and recycle streams are pure
Consider the process in the figure. The liquid phase elementary reactions $$A + B \rightarrow P \:\:\:\: -r_{B1} = k_{1}\:x_{A}\:x_{B}$$ $$P + B \rightarrow S \:\:\:\: -r...
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GATE CH 2022 | Question: 53
An elementary irreversible liquid-phase reaction, $2A \rightarrow B$ ... $\%$ (rounded off to one decimal place).
An elementary irreversible liquid-phase reaction, $2A \rightarrow B$, is carried out under isothermal conditions in a $1\:m^{3}$ ideal plug flow reactor $\text{(PFR)}$ as...
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GATE CH 2022 | Question: 54
An elementary irreversıble gas-phase reaction, $A \rightarrow B + C$, is carried out at fixed temperature and pressure in ... (rounded off to one decimal place).
An elementary irreversıble gas-phase reaction, $A \rightarrow B + C$, is carried out at fixed temperature and pressure in two separate ideal reactors: $(i)$ a $10\:m^{3}...
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GATE CH 2022 | Question: 55
An elementary irreversible liquid-phase reaction, $2P \overset{k}{\rightarrow}Q$ ... is _____________ $\%$ (round off to the nearest integer)
An elementary irreversible liquid-phase reaction, $2P \overset{k}{\rightarrow}Q$, where the rate constant $k = 2\:L\:\text{mol}^{-1}\:\text{min} ^{-1}$, takes place in an...
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GATE CH 2021 | GA Question: 1
The ratio of boys to girls in a class is $7$ to $3$. Among the options below, an acceptable value for the total number of students in the class is: $21$ $37$ $50$ $73$
The ratio of boys to girls in a class is $7$ to $3$.Among the options below, an acceptable value for the total number of students in the class is:$21$$37$$50$$73$
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GATE CH 2021 | GA Question: 2
A polygon is convex if, for every pair of points, $P$ and $Q$ ... following is $\underline{ \text{NOT}}$ a convex polygon?
A polygon is convex if, for every pair of points, $P$ and $Q$ belonging to the polygon, the line segment $PQ$ lies completely inside or on the polygon. Which one of the f...
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GATE CH 2021 | GA Question: 3
Consider the following sentences: Everybody in the class is prepared for the exam. Babu invited Danish to his ... grammatically incorrect and $\text{(ii)}$ is ambiguous
Consider the following sentences:Everybody in the class is prepared for the exam.Babu invited Danish to his home because he enjoys playing chess.Which of the following is...
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GATE CH 2021 | GA Question: 4
A circular sheet of paper is folded along the lines in the direction shown. The paper, after being punched in ... in the reverse order of folding, will look like ________.
A circular sheet of paper is folded along the lines in the direction shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse ...
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GATE CH 2021 | GA Question: 5
____________ is to $\textit{surgery}$ as $\textit{writer}$ is to __________ Which one of the following ... Plan, outline Hospital, library Doctor, book Medicine, grammar
____________ is to $\textit{surgery}$ as $\textit{writer}$ is to __________Which one of the following options maintains a similar logical relation in the above sentence?P...
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GATE CH 2021 | GA Question: 6
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an ... $\frac{9}{\pi} \\$ $3 \pi$
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges ...
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GATE CH 2021 | GA Question: 7
... its marked price, is ___________ $25$ $12.5$ $10$ $5$
$$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit} \% & \textbf{Marked Price} \\ & (₹) && (₹) \\ \hline P & 5,400 & \dots & 5,860 \\ ...
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GATE CH 2021 | GA Question: 8
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability ... $0.4235$ $0.6976$ $0.8125$
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are ide...
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GATE CH 2021 | GA Question: 9
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$ ... Neither conclusion $\text{I}$ nor $\text{II}$ is correct
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$.$\text{Statement 1}$: All bacteria are microorganisms.$\text{Statement 2}$: All...
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GATE CH 2021 | GA Question: 10
Some people suggest anti-obesity measures $\text{(AOM)}$ such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems t...
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GATE CH 2021 | Question: 1
An ordinary differential equation $\text{(ODE)}, \: \dfrac{dy}{dx}=2y$, with an initial condition $y(0)=1$, has the analytical ... $0.06$ $0.8$ $4.0$ $8.0$
An ordinary differential equation $\text{(ODE)}, \: \dfrac{dy}{dx}=2y$, with an initial condition $y(0)=1$, has the analytical solution $y=e^{2x}$.Using Runge-Kutta secon...
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GATE CH 2021 | Question: 2
The function $\cos(x)$ is approximated using Taylor series around $x=0$ as $\cos(x) \approx 1 + ax + bx^2 + cx^3 + dx^4$. The values ... $a=-0.5, \: b=0,\: c=0.042, \: d=0$
The function $\cos(x)$ is approximated using Taylor series around $x=0$ as $\cos(x) \approx 1 + ax + bx^2 + cx^3 + dx^4$. The values of $a,b,c$ and $d$ are$a=1, \: b=-0....
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GATE CH 2021 | Question: 3
The heat of combustion of methane, carbon monoxide and hydrogen are $P$, $Q$ and $R$ ... $Q+3R-P$ $P-Q-R$ $Q+R-P$
The heat of combustion of methane, carbon monoxide and hydrogen are $P$, $Q$ and $R$ respectively. For the reaction below, $$CH_4+H_2O \rightarrow CO+3H_2$$ the heat of r...
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GATE CH 2021 | Question: 4
A batch settling experiment is performed in a long column using a dilute dispersion containing equal number of particles of ... $A$ particles on top of type $B$ particles
A batch settling experiment is performed in a long column using a dilute dispersion containing equal number of particles of type $A$ and type $B$ in water (density $1000 ...
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GATE CH 2021 | Question: 5
A three-dimensional velocity field is given by $V=5x^2y \: i + Cy \: j-10xyz \: k$, where $i,j,k$ are the unit vectors in ... fluid flow, the value of $C$ is $-1$ $0$ $1$ $5$
A three-dimensional velocity field is given by $V=5x^2y \: i + Cy \: j-10xyz \: k$, where $i,j,k$ are the unit vectors in $x,y,z$ directions, respectively, describing a c...
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GATE CH 2021 | Question: 6
Heat transfer coefficient for a vapor condensing as a film on a vertical surface is given by Dittus- ... equation Nusselt theory Chilton-Colburn analogy Sieder-Tate equation
Heat transfer coefficient for a vapor condensing as a film on a vertical surface is given byDittus-Boelter equationNusselt theoryChilton-Colburn analogySieder-Tate equati...
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GATE CH 2021 | Question: 7
In a double-pipe heat exchanger of $10 \: m$ length, a hot fluid flows in the annulus and a cold fluid flows in the inner pipe. The ... $24.6$ $27.9$ $30.0$ $50.0$
In a double-pipe heat exchanger of $10 \: m$ length, a hot fluid flows in the annulus and a cold fluid flows in the inner pipe. The temperature profiles of the hot $(T_h)...
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GATE CH 2021 | Question: 8
For a shell-and-tube heat exchanger, the clean overall heat transfer coefficient is calculated as $\text{250 W m$^{-2}$ ... 2}$ K}^{-1})$. $100$ $150$ $200$ $250$
For a shell-and-tube heat exchanger, the clean overall heat transfer coefficient is calculated as $\text{250 W m$^{-2}$ K}^{-1}$ for a specific process condition. It is e...
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GATE CH 2021 | Question: 9
In reverse osmosis, the hydraulic pressure and osmotic pressure at the feed side of the membrane are $P_1$ and $\pi_1$, ... $P_1 - \pi_1 = P_2-\pi_2$
In reverse osmosis, the hydraulic pressure and osmotic pressure at the feed side of the membrane are $P_1$ and $\pi_1$, respectively. The corresponding values are $P_2$ a...
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GATE CH 2021 | Question: 10
Ethylene adsorbs on the vacant active sites $V$ ... $N_T=N_V+0.5N_{C_2H_4}$
Ethylene adsorbs on the vacant active sites $V$ of a transition metal catalyst according to the following mechanism.If $N_T, N_V$ and $N_{C_2H_4}$ denote the total number...
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GATE CH 2021 | Question: 11
Which of the following is $\text{NOT}$ a standard to transmit measurement and control signals? $4-20 \: \text{mA}$ $3-15 \text{ psig}$ $0-100\: \%$ $1-5 \text{ VDC}$
Which of the following is $\text{NOT}$ a standard to transmit measurement and control signals?$4-20 \: \text{mA}$$3-15 \text{ psig}$$0-100\: \%$$1-5 \text{ VDC}$
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GATE CH 2021 | Question: 12
A feedforward controller can be used only if the disturbance variable can be measured the disturbance variable ... variable can be ignored regulatory control is not required
A feedforward controller can be used only ifthe disturbance variable can be measuredthe disturbance variable can be manipulatedthe disturbance variable can be ignoredregu...
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GATE CH 2021 | Question: 13
Turnover ratio is defined as $\dfrac{\text{Fixed capital investment}}{\text{Gross annual sales}} \\$ ...
Turnover ratio is defined as$\dfrac{\text{Fixed capital investment}}{\text{Gross annual sales}} \\$$\dfrac{\text{Gross annual sales}}{\text{Fixed capital investment}} \\$...
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GATE CH 2021 | Question: 14
A principal amount is charged a nominal annual interest rate of $10 \%$. If the interest rate is compounded continuously ... using an effective interest rate of $27.18 \%$
A principal amount is charged a nominal annual interest rate of $10 \%$. If the interest rate is compounded continuously, the final amount at the end of the one year woul...
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GATE CH 2021 | Question: 15
Match the common name of chemicals in $\text{Group-1}$ with their chemical formulae in $\text{Group-2}$ ... $\text{P-II, Q-I, R- III}$
Match the common name of chemicals in $\text{Group-1}$ with their chemical formulae in $\text{Group-2}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group – 1} & & \textbf...
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