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Recent questions tagged gatech-2022

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GATE CH 2022 | Question: 30
Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ ... places, is $0.02$ $0.04$ $0.10$ $0.01$
Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ and the ambient temperature is $T_{a}\:(T_{s} T_{a})$. The wire is to be...
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GATE CH 2022 | Question: 32
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge ... $\frac{3}{4}$ $3$
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge of the plate, then the local he...
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GATE CH 2022 | Question: 33
Match the product in Group-$1$ with the manufacturing process in Group-$2$ ... $\text{P-I, Q-IV, R-II, S-III}$
Match the product in Group-$1$ with the manufacturing process in Group-$2$. The correct combination is$$\begin{array}{|c|c|} \hline\text{} & \text{Group – 1} & & \text{...
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GATE CH 2022 | Question: 34
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ ... is _________________ (rounded off to two decimal places).
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ at the point $(1, 1, 1)$ in the direction of the vector $\vec{v} = \hat{i} - \hat{k}$ is _...
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GATE CH 2022 | Question: 35
Consider a sphere of radius $4$, centered at the origin, with outward unit normal $\hat{n}$ on its surface ... is _________________ (rounded off to one decimal places)
Consider a sphere of radius $4$, centered at the origin, with outward unit normal $\hat{n}$ on its surface $S$. The value of the surface integral $\iint _{s} \left ( \dfr...
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GATE CH 2022 | Question: 36
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is ... $x = 0.5$ is _____________________ (rounded off to three decimal places).
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is to be solved using a predictor-corrector approach. Use a predictor based on...
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GATE CH 2022 | Question: 37
A substance at $4^{\circ}C$ ... (rounded off to the nearest integer).
A substance at $4^{\circ}C$ has a thermal expansion coefficient $\beta = \dfrac{1}{v}\left ( \dfrac{\partial v}{\partial T} \right )_P =0 \:K^{-1}$, an isothermal compres...
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GATE CH 2022 | Question: 38
The molar excess Gibbs free energy $(g^{E})$ of a liquid mixture of $A$ and $B$ ... $1$ bar is ___________________ (rounded off to the nearest integer).
The molar excess Gibbs free energy $(g^{E})$ of a liquid mixture of $A$ and $B$ is given by $$\frac{g^{E}}{RT} = x_{A}x_{B}\left [ C_{1} + C_{2} \left ( x_{A} - x_{B} \ri...
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GATE CH 2022 | Question: 39
For a pure substance, the following data at saturated conditions are given: ... $\text{kJ/mol}$ (rounded off to one decimal place).
For a pure substance, the following data at saturated conditions are given:$$\begin{array}{cccc}\text{ln}\:{P^{\text{sat}} (\text{bar})} & \text{T (K)} \\ 0.693 & 350 \\ ...
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GATE CH 2022 | Question: 40
Consider the process flowsheet in the figure. An irreversible liquid-phase reaction $A \rightarrow B$ ... (rounded off to two decimal places).
Consider the process flowsheet in the figure. An irreversible liquid-phase reaction $A \rightarrow B$ (reaction rate $-r_{A} = 164 \:x_{A}\text{ kmol }m^{-3}\:h^{-1}$) oc...
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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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