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GATE Chemical 2014 | Question: 35
Which $ONE$ of the following is $CORRECT$ for an ideal gas in a closed system?$\left ( \frac{\partial U}{\partial V} \right )_{s}V=nR\left ( \frac{\partial U}{\partial S}...
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GATE Chemical 2013 | Question: 63
Following table gives data on tourists from different countries visiting India in the year $2011$$$\begin{array}{|cl|cl|} \hline & \textbf{Country} & \textbf{Number of T...
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GATE Chemical 2013 | Question: 35
Calculate the heat required (in kJ, up to 1 digit after the decimal point) to raise the temperature of 1 mole of a solid material from 100 $^{o}$C to 1000 $^{o}$C. The sp...
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GATE Chemical 2012 | Question: 65
Which of the following assertions are $\text{CORRECT}$?$P$ : Adding $7$ to each entry in a list adds $7$ to the mean of the list$Q$ : Adding $7$ to each entry in a list...
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GATE Chemical 2012 | Question: 53
The force per unit area (in the $x$ -direction) that must be exerted on the bottom plate to maintain the flow is$\mu V/b$-$\mu V/b$$2\mu V/b$$-2\mu V/b$
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GATE Chemical 2012 | Question: 9
For an exothermic reversible reaction, which one of the following correctly describes the dependence of the equilibrium constant $(K)$ with temperature $(T)$ and pressure...
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GATE Chemical 2012 | Question: 4
A box containing $10$ identical components has $6$ red balls and $2$ blue balls. If each compartment can hold only one ball, then the number of different possible arrange...
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GATE Chemical 2018 | Question: 41
It is decided to extract $A$ from a feed containing $20$ mol$\%$ $A$ and $80$ mol$\%$ $B$ in two ideal cross-current stages as shown below, using equal amount of pure sol...
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GATE Chemical 2018 | Question: 10
Polyvinyl chloride is produced byco-polymerizationaddition-type kineticsreacting chlorine with polyethylenereacting hydrochloric acid with polyethylene
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GATE Chemical 2024 | Question: 14
Which one of the given statements is correct with reference to gas-liquid contactors for mass transfer applications?A tray tower is more suitable for foaming systems than...
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GATE Chemical 2024 | Question: 32
​​​​​A simple distillation column separates a binary mixture of $A$ and $B$. The relative volatility of $A$ with respect to $B$ is $2$. The steady-state composi...
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GATE CH 2022 | Question: 21
Consider steady-state diffusion in a binary $\text{A-B}$ liquid at constant temperature and pressure. The mole ... is _________________ (rounded off to one decimal place).
Consider steady-state diffusion in a binary $\text{A-B}$ liquid at constant temperature and pressure. The mole-fraction of $A$ at two different locations is $0.8$ and $0....
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GATE Chemical 2020 | Question: 44
An elementary liquid phase reversible reaction $P \leftrightarrows Q$ is carried out in an ideal continuous stirred tank reactor (CSTR) operated at steady state. The rate...
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GATE Chemical 2020 | Question: 20
Leidenfrost phenomenon refers tothe condensation of vapour on a cold surfacethe exchange of heat between two solidsthe melting of frostfilm boiling and evaporation of liq...
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GATE Chemical 2017 | Question: 7
Water is heated at atmospheric pressure from $40^{\circ}C$ to $80^{\circ}C$ using two different processes. In process $I$, the heating is done by a source at $80^{\circ}C...
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GATE Chemical 2017 | Question: 10
Which of the following is the correct sequence of equipment for size reduction of solids?
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GATE Chemical 2017 | Question: 31
Reaction $A{\rightarrow}B$ is carried out in a reactor operating at steady state and $1$ mol/$s$ of pure $A$ at $425^{\circ}C$ enters the reactor. The outlet stream leave...
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GATE Chemical 2015 | Question: 7
Read the following paragraph and choose the correct statement.Climate change has reduced human security and threatened human well being. An ignored reality of human progr...
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GATE Chemical 2015 | Question: 11
The following set of the three vectors$$\begin{pmatrix} 1\\2\\1 \end{pmatrix}, \begin{pmatrix} x\\6\\x \end{pmatrix}\:and \:\begin{pmatrix} 3\\4 \\2 \end{pmatrix},$$is li...
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GATE Chemical 2014 | Question: 26
Consider the following differential equation$\frac{dy}{dx}=x+In\:\left ( y \right ); y=2 \: at \: x=0$The solution of this equation at $x=0.4$ using Euler method with a s...
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GATE Chemical 2013 | Question: 55
For the computation of Ziegler-Nichols settings, the ultimate period (in s/cycle) and the ultimate gain are $\pi$ and $0.8$, respectively$4\pi$ and $0.8$, respectively$4\...
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GATE Chemical 2013 | Question: 40
The gas phase decomposition of azomethane to give ethane and nitrogen takes place according to the following sequence of elementary reactions.(CH${_3}){_2}$N${_2}$ + (CH$...
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GATE Chemical 2013 | Question: 25
Match the following$\bf{Group 1}$ $\bf{Group 2}$(P) Viscosity (1) Pyrometer(Q) Pressure ...
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GATE Chemical 2013 | Question: 12
An incompressible Newtonian fluid , filled in an angular gap between two concentric cylinders of radii $R_{1}$ and $R_{2}$ as shown in the figure, is flowing under steady...
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GATE Chemical 2013 | Question: 11
The mass balance for a fluid with density ($\rho$) and velocity ($\overrightarrow{V}$) is$\frac{\partial\rho}{\partial{t}}$ + $\bigtriangledown$.($\rho\overrightarrow{V}$...
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GATE Chemical 2012 | Question: 40
The characteristic equation for a system is $S^{3}+9S^{2}+26S+12(2+K{_c}) = 0$.Using the Routh test, the value of $K{_...
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GATE Chemical 2012 | Question: 31
Consider a binary liquid mixture at constant temperature $T$ and pressure $P$. If the enthalpy change of mixing, $\Delta H = 5x_1x_2$, where $x_1$ and $x_2$ are the mole ...
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GATE Chemical 2012 | Question: 17
In the McCabe-Thiele diagram, if the $x$-coordinate of the point of intersection of the $q$-line and the vapor-liquid equilibrium curve is greater then the $x$-coordinate...
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GATE CH 2021 | Question: 16
For the function $f(x) = \begin{cases} -x, & x<0 \\ x^2, & x \geq 0 \end{cases}$ ... $x=0$ $f(x)$ is differentiable at $x=0$
For the function $f(x) = \begin{cases} -x, & x<0 \\ x^2, & x \geq 0 \end{cases}$ the $\text{CORRECT}$ statement(s) is/are$f(x)$ is continuous at $x=1$$f(x) $ is different...
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GATE CH 2021 | Question: 20
$\textbf{A, B, C}$ and $\textbf{D}$ are vectors of length $4$ ... is __________
$\textbf{A, B, C}$ and $\textbf{D}$ are vectors of length $4$. $$\textbf{A} = \begin{bmatrix} a_1 & a_2 & a_3 & a_4 \end{bmatrix} \\ \textbf{B} = \begin{bmatrix}b_1 & b_2...
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GATE Chemical 2020 | Question: 7
The square of Thiele modulus, $M_{T}$, is given by $M_{T}^2 = \dfrac{L^2k}{D_{eff}}$, where $L$ is the characteristic length of the catalyst pellet, $k$ is the rate const...
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GATE Chemical 2019 | Question: 37
Carbon monoxide $(CO)$ reacts with hydrogen sulphide $(H_2S)$ at a constant temperature of $800\:K$ and a constant pressure of 2 bar as:$$CO+H_2S\leftrightharpoons COS+H_...
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GATE Chemical 2017 | Question: 12
The one-dimensional unsteady heat conduction equation is $$\rho C_{p}\frac{\partial T}{\partial t}=\frac{1}{r^{n}}\frac{\partial }{\partial r}\left ( r^{n}k\frac{\partial...
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GATE Chemical 2017 | Question: 41
In nucleate boiling, the pressure inside a bubble is higher than the pressure of the surrounding liquid. Assuming that both the liquid and vapour are saturated, the tempe...
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GATE Chemical 2017 | Question: 50
The transfer function of a system is$$\frac{1}{4s^{2}+1.2s+1}$$For a unit step increase in the input, the fractional overshoot, rounded to $2$ decimal place, is _________...
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GATE Chemical 2016 | Question: 42
The space between two hollow concentric spheres of radii $0.1\:m$ and $0.2\:m$ is under vacuum. Exchange of radiation (uniform in all directions) occurs only between the ...
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GATE Chemical 2015 | Question: 14
A complex-valued function, $f(z)$, given below is analytic in domain $D$:$$f\left ( z \right )=u\left ( x,y\right )+i\nu \left ( x,y\right )\:\:\:\:\:\:\:z=x+iy$$Which of...
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GATE Chemical 2015 | Question: 25
Benzene is removed from air by absorbing it n a non-volatile wash-oil at $100$ $kPa$ in a counter- current gas absorber. Gas flow rate is $100$ mol/min , which includes $...
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GATE Chemical 2015 | Question: 50
Air is flowing at a velocity of $3\:m/s$ perpendicular to a long pipe as shown in the figure below. The outer diameter of the pipe is $d=6\:cm$ and temperature at the out...
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GATE Chemical 2014 | Question: 39
An incompressible fluid is flowing through a contraction section of length $L$ and has a $1-D$ ($x$- direction steady state velocity distribution, $u=u_{0}\left ( 1+\frac...
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