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GATE Chemical 2018 | Question: 20
For absorption of $H_{2}S$ from a mixture with hydrocarbon vapour into an aqueous alkanolamine solution, the liquid phase mass transfer resistance issignificantly higher ...
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GATE Chemical 2018 | Question: 7
Economy of evaporators used for concentrating sugarcane juice is$\frac{kg\:of\:concentrated\:juice\:produced}{kg\:of\:steam\:supplied}$$\frac{kg\:of\:steam\:supplied}{kg\...
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GATE CH 2022 | Question: 7
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the ... $4W_{1}$ $W_{1}$ $0.5W_{1}$
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the surroundings. If the rate of diffusi...
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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: 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 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: 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 2019 | Question: 44
A $20$ $cm$ diameter cylindrical solid pellet of a nuclear fuel with density $6000\: kg/m^{3}$ and conductivity of $300\:W/\left ( m\:K \right )$ generates heat by nucle...
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GATE Chemical 2016 | Question: 6
For a flow through a smooth pipe, the Fanning friction factor $(f)$ is given by $f=mRe^{-0.2}$ in the turbulent flow regime, where $Re$ is the Reynolds number and $m$ is ...
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GATE Chemical 2018 | Question: 42
A binary distillation column is designed by McCabe-Thiele method to get a distillate mole fraction of $0.9$. The enriching section operating line has an intercept with $y...
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GATE Chemical 2024 | Question: 27
​​​​​​The temperatures of two large parallel plates of equal emissivity are $900 \mathrm{~K}$ and $300 \mathrm{~K}$. A reflection radiation shield of low emis...
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GATE Chemical 2024 | Question: 35
​​​​​​A first-order liquid phase reaction $A \rightarrow B$ is carried out in two isothermal plug flow reactors (PFRs) of volume $1 \mathrm{~m}^{3}$ each, con...
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GATE Chemical 2024 | Question: 36
​​​​The residence time distribution, $E$, for a non-ideal flow reactor is given in the figure. A first-order liquid phase reaction with a rate constant $0.2 \math...
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GATE Chemical 2024 | Question: 47
Ethylene obeys the truncated virial equation-of-state\[\frac{P V}{R T}=1+\frac{B P}{R T}\]where $P$ is the pressure, $V$ is the molar volume, $T$ is the absolute temperat...
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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 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 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 2019 | Question: 45
The elementary, irreversible liquid-phase, parallel reactions, $2A\rightarrow D$ and $2A\rightarrow U$, take place in an isothermal non-ideal reactor. The $C$-curve measu...
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GATE Chemical 2017 | Question: 18
Consider a first order catalytic reaction in a porous catalyst pellet.Given $R$ – characteristics length of the pellet; $D_{e}$ – effective diffusivity; $k_{c}$ – m...
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GATE Chemical 2017 | Question: 21
An $LVDT$ (Linear Variable Differential Transformation) is a transducer used for convertingdisplacement to voltagevoltage to displacementresistance to voltagevoltage to c...
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GATE Chemical 2017 | Question: 28
Match the problem type in Group-$1$ with the numerical method in Group-$2$.$\begin{array}{cc}\&\text{Group-$1$} & \text{Group-$2$} \\ &\text{P. System of linear algebraic...
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GATE Chemical 2018 | Question: 29
$G$ denotes the Gibbs free energy of a binary mixture, $n_{T}$ denotes the total number of moles present in the system, $\mu _{i}$ is the chemical potential of the $i^{th...
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GATE CH 2023 | Question: 47
If a matrix $M$ ... of all the eigenvalues of $M^3$ is equal to______________(in integer).
If a matrix $M$ is defined as $M=\left[\begin{array}{cc}10 & 6 \\ 6 & 10\end{array}\right]$, the sum of all the eigenvalues of $M^3$ is equal to______________(in integer)...
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GATE CH 2022 | Question: 26
The partial differential equation $\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$ where ... $1$ $e$ $\pi$ $\frac{1}{e}$
The partial differential equation $$\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$$ where, $t \geq 0$ and $x \in [0,1]$, is sub...
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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 2021 | Question: 23
The molar heat capacity at constant pressure $C_p$ (in $\text{J mol}^{-1} K^{-1}$) for $n$-pentane as a function of ... $2$ decimal places).
The molar heat capacity at constant pressure $C_p$ (in $\text{J mol}^{-1} K^{-1}$) for $n$-pentane as a function of temperature $(T$ in $K)$ is given by$ \dfrac{C_p}{R} =...
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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 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 2019 | Question: 38
For a given binary system at constant temperature and pressure, the molar volume (in $m^{3}$/mol) is given by: $v=30x_{A}+20x_{B}+x_{A}x_{B}\left ( 15x_{A} -7x_{B}\right ...
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GATE Chemical 2014 | Question: 45
A step change of magnitude $2$ is introduced into a system having the following transfer function$$G\left ( s \right )=\frac{2}{s^{2}+2s+4}$$The percent overshoot is ____...
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GATE Chemical 2013 | Question: 9
An open tank contains two immiscible liquids of densities $(800\: kg/m^{3}$ and $1000\:kg/m^{3})$ as shown in the figure. If $g = 10\: m/s^2$, under static conditions, th...
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GATE Chemical 2012 | Question: 33
For the enclosure formed between two concentric spheres as shown ($R_2 = 2R_1$), the fraction of radiation leaving the surface area $A_2$ that strikes itself is ...
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GATE Chemical 2018 | Question: 28
A furnace installed at a cost of $Rs.\:24$ Lakh is expected to serve its useful life of $5$ years. Salvage value of the furnace is $Rs.\:8$ Lakh. The interest rate compou...
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GATE Chemical 2018 | Question: 26
Match the equipment in Column $A$ with the corresponding process in Column $B$$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&\text{$Column\:A$} & \text{$Column\:B$} \\ \hline ...
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GATE Chemical 2018 | Question: 15
Liquid phase isomerization of $o$-xylene to $p$-xylene using a zeolite catalyst was carried out in a $CSTR$ three sets of kinetic data at different temperatures and stirr...
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GATE CH 2023 | Question: 42
Which one of the following represents the $\text{CORRECT}$ effects of concentration polarization in a ... solute rejection Increased water flux and reduced solute rejection
Which one of the following represents the $\text{CORRECT}$ effects of concentration polarization in a reverse osmosis process?Reduced water flux and reduced solute reject...
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GATE CH 2023 | Question: 44
A cascade control strategy is shown in the figure below. The transfer function between the output $(y)$ ...
A cascade control strategy is shown in the figure below. The transfer function between the output $(y)$ and the secondary disturbance $\left(d_2\right)$ is defined as$$G_...
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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: 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 2021 | Question: 28
Water of density $1000 \text{ kg m}^{-3}$ flows in a horizontal pipe of $10 \: cm$ diameter at an average velocity of ... $0.0012$ $0.0074$ $0.0082$ $0.0106$
Water of density $1000 \text{ kg m}^{-3}$ flows in a horizontal pipe of $10 \: cm$ diameter at an average velocity of $0.5 \: m \: s^{-1}$. The following plot shows the p...
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