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GATE Chemical 2017 | Question: 1
The value of $\underset{x\rightarrow 0}{\lim}\:\frac{\tan\left ( x \right )}{x}$ is ________________.
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GATE Chemical 2017 | Question: 29
A box has $6$ red balls and $4$ white balls. A ball is picked at random and replaced in the box, after which a second ball is picked.The probability of both the balls bei...
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GATE Chemical 2016 | Question: 31
A jacketed stirred tank with a provision for heat removal is used to mix sulphuric acid and water in a steady state flow process. $H_{2}SO_{4}$ $(l)$ enters at a rate of ...
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GATE Chemical 2016 | Question: 46
Consider the following two cases for a binary mixture of ideal gases $A$ and $B$ under steady state conditions. In case $1$, the diffusion pf $A$ occurs through non-diffu...
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GATE Chemical 2017 | Question: 14
Which of the following conditions are valid at the plait point?Density difference between the extract and raffinate phases is zeroInterfacial tension between the extract...
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GATE Chemical 2017 | Question: 58
Consider the following sentences:All benches are beds. No bed is a bulb. Some bulbs are lamps.Which of the following can be inferredSome beds are lampsSome lamps are beds...
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GATE Chemical 2014 | Question: 22
Decomposition efficiency ($\eta _{D}$) of an electrolytic cell used for producing $NaOH$ is defined as ​​​​​​$\eta _{D}$ = (grams of $NaOH$ produced / grams o...
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GATE Chemical 2017 | Question: 6
The volumetric properties of two gases $M$ and $N$ are described by the generalized compressibility chart which expresses the compressibility factor $(Z)$ as a function o...
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GATE Chemical 2016 | Question: 2
The Laplace transform of $e^{at}\sin\left ( bt \right )$ is$\frac{b}{\left ( s-a \right )^{2}+b^{2}}$$\frac{s-a}{\left ( s-a \right )^{2}+b^{2}}$$\frac{s-a}{\left ( s-a \...
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GATE Chemical 2017 | Question: 27
The Laplace transform of a function is $\frac{s+1}{s\left ( s+2 \right )}$The initial and final values, respectively, of the function are $0$ and $1$$1$ and $\frac{1}{2}$...
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GATE Chemical 2012 | Question: 49
If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, using Kremser’s equation (adjusted to the next integer) is591113
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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 2016 | GA Question: 7
A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the ...
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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 2016 | Question: 9
A composite wall is made of four different materials of construction in the fashion shown below. The resistance (in $K/W$) of each sections of the wall is indicated in th...
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GATE Chemical 2016 | GA Question: 10
Which of the following curves represents the function $\text{y=ln}(|e^{[|\sin(|x|)]}|)$ for $\mid x\mid< 2\pi$? Here, $x$ represents the abscissa and $y$ represents the o...
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GATE Chemical 2016 | Question: 29
The Lagrange mean-value theorem is satisfied for $f\left ( x \right )=x^{3}+5$, in the interval $\left ( 1,4 \right )$ at a value (rounded off to the second decimal place...
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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 | GA Question: 8
Find the missing sequence in the letter series.B, FH, LNP, _ _ _ _.SUWYTUVWTVXZTWXZ
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GATE Chemical 2017 | Question: 2
The real part of $6e^{i\pi /3}$ is _______________.
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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: 11
A gas bubble (gas density $\rho_{g} =2\:kg/m^{3}$ ; bubble diameter $D=10^{-4}\:m$ is rising vertically through water (density $\rho =1000\:kg/m^{3}$; viscosity $\mu =0.0...
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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 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: 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: 34
The vapour pressure of a pure substance at a temperature $T$ is $30$ bar. The actual and ideal gas values of $g/RT$ for the saturated vapour at this temperature $T$ and $...
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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 2017 | Question: 26
For the initial value problem$$\frac{dx}{dt}=\sin\left ( t \right ),\:\:\:\:x\left ( 0 \right )=0$$the value of $x$ at $t=\pi /3$ , is _____________.
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GATE Chemical 2017 | Question: 39
Let $I_{b\lambda }$ be the spectral blackbody radiation intensity per unit wavelength about the wavelength $\lambda$ . The blackbody radiation intensity emitted by a blac...
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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: 13
In a heat exchanger, the inner diameter of a tube is $25\:mm$ and its outer diameter is $30\:mm$. The overall heat transfer coefficient based on the inner area is $360\:W...
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GATE Chemical 2017 | Question: 20
Match the variable in Group-$1$ with the instruments in Group-$2$.$\begin{array}{cc}\&\text{Group-$1$} & \text{Group-$2$} \\ &\text{P. Temperature} & \text{ I. Capacitanc...
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GATE Chemical 2017 | Question: 37
A propeller (diameter $D=15\:m$) rotates at $N=1$ revolution per second $(rps)$. To understand the flow around the propeller, a lab-scale model is made. Important paramet...
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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 2015 | Question: 9
A cube of side $3$ units is formed using a set smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are ...
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GATE Chemical 2015 | Question: 12
For the matrix $\begin{pmatrix} 4 & 3\\ 3& 4 \end{pmatrix}$, if $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ is an eigenvector, the corresponding eigenvalue is __________ .
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GATE Chemical 2017 | Question: 63
The last digit of $\left ( 2171 \right )^{7}+\left ( 2172 \right )^{9}+\left ( 2173 \right )^{11}+\left ( 2174 \right )^{13}$ is$2$$4$$6$$8$
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GATE Chemical 2016 | Question: 49
A porous pellet with $Pt$ dispersed in it is used to carry out a catalytic reaction. Following two scenarios are possible.$Scenario\:1$ : $Pt$ present throughout the pore...
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