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GATE Chemical 2014 | Question: 30
In rolling of two fair dice, the outcome of an experiments is considered to be the sum of the numbers appearing on the dice. The probability is highest for the outcome of...
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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: 61
An automobile plant contracted to buy shock absorber from two suppliers $X$ and $Y$. $X$ supplies $60\%$ and $Y$ supplies $40\%$ of the shock absorbers. All shock absorbe...
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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 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: 7
Economy of evaporators used for concentrating sugarcane juice is$\frac{kg\:of\:concentrated\:juice\:produced}{kg\:of\:steam\:supplied}$$\frac{kg\:of\:steam\:supplied}{kg\...
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GATE CH 2022 | Question: 36
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is ... $x = 0.5$ is _____________________ (rounded off to three decimal places).
The equation $\dfrac{dy}{dx} = xy^{2}+ 2y+ x- 4.5$ with the initial condition $y(x= 0) = 1$ is to be solved using a predictor-corrector approach. Use a predictor based on...
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GATE Chemical 2020 | Question: 55
Consider the following dataset.$$\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}$$The value of the ...
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GATE Chemical 2017 | Question: 3
The number of positive roots of the function $f(x)$ shown below in the range $0<x<6$ is ___________________.
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GATE Chemical 2017 | Question: 60
The following sequence of number is arranged in increasing order $1,x,x,x,y,y,9,16,18$. Given that the mean and median are equal, and are also equal to twice the mode, th...
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GATE Chemical 2016 | Question: 6
For a flow through a smooth pipe, the Fanning friction factor $(f)$ is given by $f=mRe^{-0.2}$ in the turbulent flow regime, where $Re$ is the Reynolds number and $m$ is ...
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GATE Chemical 2014 | GA Question: 6
Find the odd one in the following group: $\text{ALRVX, EPVZB, ITZDF, OYEIK}$$\text{ALRVX}$$\text{EPVZB}$$\text{ITZDF}$$\text{OYEIK}$
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GATE Chemical 2014 | Question: 45
A step change of magnitude $2$ is introduced into a system having the following transfer function$$G\left ( s \right )=\frac{2}{s^{2}+2s+4}$$The percent overshoot is ____...
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GATE CH 2023 | Question: 44
A cascade control strategy is shown in the figure below. The transfer function between the output $(y)$ ...
A cascade control strategy is shown in the figure below. The transfer function between the output $(y)$ and the secondary disturbance $\left(d_2\right)$ is defined as$$G_...
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GATE CH 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: 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: 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: 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 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 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 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 2015 | Question: 1
Choose the most appropriate word from the options given below to complete the following sentence.The principle presented the chief guest with a _______________ , as token...
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GATE Chemical 2014 | GA Question: 1
A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences.The word closest in meaning to comprehension isunders...
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GATE Chemical 2012 | Question: 60
Choose the grammatically $\text{INCORRECT}$ sentence:They gave us the money back less the service charges of Three Hundred rupeesThis country’s expenditure is not less ...
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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 2012 | Question: 1
Consider the following set of linear algebraic equations $x{_1} + 2x{_2} + 3x{_3} = 2$ ...
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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 Chemical 2018 | GA Question: 6
An automobile travels from city $A$ to city $B$ and returns to city $A$ by the same route. The speed of the vehicle during the onward and return journeys were constant at...
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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 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 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: 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: 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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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: 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 2016 | Question: 30
Values of $f\left ( x \right )$ in the interval $\left [ 0,4 \right ]$ are given below.$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&{x} & \text{0} & \text{1} & \text{2} & \t...
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