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GATE Chemical 2015 | Question: 15
A scalar function in the $xy$-plane is given by $\phi \left ( x,y \right )=x^{2}+y^{2}$. If $\hat{i}$ and $\hat{j}$ are unit vectors in the $x$ and $y$ directions, the d...
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GATE Chemical 2017 | Question: 9
The thickness of laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. As the distance increase, the boundary layer thic...
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GATE Chemical 2017 | Question: 47
The following liquid phase second-order reaction is carried out in an isothermal $CSTR$ steady steady$$A{\rightarrow}R\:\:\:\:\:(-r_{A})=0.005C_{A}^{2}\:mol/m^{3}.hr$$whe...
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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 2017 | Question: 52
The characteristics equation of a closed-loop system is$$6s^{3}+11s^{2}+6s+\left ( 1+K \right )=0,\:\:\:\:\:\: where \:K>0$$The value of $K$ beyond which the system just ...
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GATE Chemical 2017 | Question: 64
Two machines $M1$ and $M2$ are able to execute any of four jobs $P,Q,R$ and $S$. The machines can perform one job on one object at a time. Jobs $P,Q,R$ and $S$ take $30$ ...
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GATE Chemical 2016 | GA Question: 1
The volume of a sphere of diameter $1$ unit is ________ than the volume of a cube of side $1$ unit.leastlesslesserlow
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GATE Chemical 2016 | Question: 43
A binary distillation column is to be designed using McCabe Thiele method. The distillate contains $90$ mol$\%$ of the more volatile component. The point of intersection ...
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GATE Chemical 2015 | Question: 2
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentences:Frogs _____________________ .croakroarhisspatter
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GATE Chemical 2017 | Question: 22
The cost of a new pump (including installation) is $24,000$ Rupees. The pump has a useful life of $10$ years. Its salvage value is $4000$ Rupees. Assuming straight line d...
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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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GATE Chemical 2017 | Question: 16
Consider steady state mass transfer of a solute $A$ from a gas phase to a liquid phase. The gas phase bilk and interface mole fractions are $y_{A,G}$ and $y_{A,i}$, respe...
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GATE Chemical 2017 | Question: 42
The vapour phase composition and relative volatilities (with respect to $n$-propane) on an ideal tray of a distillation column are$$\begin{array}{clcIcIcI|cI|c}\hline&\te...
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GATE Chemical 2017 | Question: 45
In a batch absorption process, $5\:g$ of fresh absorbent is used to treat $1$ liter of an aqueous phenol solution. The initial phenol concentration is $100\:mg$/liter. Th...
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GATE Chemical 2017 | Question: 59
If the radius of a right circular cone is increased by $50\%$, its volume increases by$75\%$$100\%$$125\%$$237.5\%$
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GATE Chemical 2015 | Question: 54
Consider a steady state mass transfer process between well-mixed liquid and vapour phases of a binary mixture comprising of components $A$ and $B$. The mole fractions of ...
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GATE Chemical 2014 | Question: 43
A cash flow of Rs. $12,000$ per year is received at the end year (uniform periodic payment) for $7$ consecutive years. The rate of interest is $9\%$ per year compounded a...
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GATE Chemical 2014 | Question: 36
A binary distillation column is operating with a mixed feed containing $20$ mol$\%$ vapour. If the feed quality is changed to $80$ mol$\%$ vapour, the change is the slope...
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GATE Chemical 2017 | Question: 33
A sparingly soluble gas (solute) is in equilibrium with a solvent at $10$ bar. The mole fraction of the solvent in the gas phase is $0.01$. At the operating temperature a...
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GATE Chemical 2017 | Question: 38
Size analysis was carried out on a sample of gravel. The data for mass fraction $(x_{i})$ and average particle diameter $(D_{pi})$ of the fraction is given in the table b...
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GATE Chemical 2016 | Question: 14
For a non-catalytic homogeneous reaction $A\rightarrow B$, the rate expression at $300\:K$ is $-r_{A}$$\left (mol\; m^{-3} s^{-1}\right )=\frac{10C_{A}}{1+5C_{A}}$...
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GATE Chemical 2015 | Question: 7
Read the following paragraph and choose the correct statement.Climate change has reduced human security and threatened human well being. An ignored reality of human progr...
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GATE Chemical 2015 | Question: 11
The following set of the three vectors$$\begin{pmatrix} 1\\2\\1 \end{pmatrix}, \begin{pmatrix} x\\6\\x \end{pmatrix}\:and \:\begin{pmatrix} 3\\4 \\2 \end{pmatrix},$$is li...
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GATE Chemical 2015 | Question: 14
A complex-valued function, $f(z)$, given below is analytic in domain $D$:$$f\left ( z \right )=u\left ( x,y\right )+i\nu \left ( x,y\right )\:\:\:\:\:\:\:z=x+iy$$Which of...
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GATE Chemical 2013 | Question: 61
Velocity of an object fired directly in upward direction is given by $V = 80 – 32\: t$, where $t$ (time) is in seconds. When will the velocity be between $32\: m/sec$ a...
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GATE Chemical 2017 | Question: 8
In a venturi meter. $\Delta P_{1}$ and $\Delta P_{2}$ are the pressure drops corresponding to volumetric flowrates $Q_{1}$ and $Q_{2}$. If $Q_{2}/Q_{1}=2$, then $\Delta P...
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GATE Chemical 2017 | Question: 30
An aqueous salt-solution enters a crystallizer operating at steady state at $25^{\circ}C$. The feed temperature is $90^{\circ}C$ and the salt concentration in the feet is...
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GATE Chemical 2016 | Question: 3
What are the modulus $\left ( r \right )$ and argument $\left ( \theta \right )$ of the complex number $3+4i$ ?$r=\sqrt{7}, \theta =tan^{-1}\left ( \frac{4}{3} \right )$$...
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GATE Chemical 2016 | Question: 22
Terms used in engineering economics have standard definitions and interpretations. Which one of the following statements is $INCORRECT$?The profitability measure 'return ...
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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: 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 $...
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GATE Chemical 2015 | Question: 30
Match the output signals as obtained from four measuring devices in response to a unit step change in the input signal.$\begin{array}{cc}\&\text{P. Gas chromatograph, wit...
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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 2017 | Question: 25
The purpose of methanation reaction used in ammonia plants is toremove $CO$ as it is catalyst poisonincrease the amount of hydrogenremove sulphur as it is a catalyst pois...
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GATE Chemical 2017 | Question: 44
In a countercurrent stripping operation using pure steam, the mole ratio of a solute in the liquid stream is reduced from $0.25$ to $0.05$. The liquid feed flowrate, on a...
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GATE Chemical 2017 | Question: 49
The following gas-phase reaction is carried out in a constant-volume isothermal batch reactor$$A+B{\rightarrow}R+S$$The reactants $A$ and $B$ as well as the product $S$ a...
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GATE Chemical 2017 | Question: 55
Match the equipment in Group-$1$ with the process in Group-$2$$\begin{array}{cc}\&\text{Group-$1$} & \text{Group-$2$} \\ &\text{P. Fluidized bed} & \text{ I. Paper-making...
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GATE Chemical 2017 | Question: 61
The old concert hall was demolished because of fears that the foundation would be affected by the construction of the new metro line in the area. Modern technology for un...
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GATE Chemical 2016 | Question: 1
Which one of the following is an iterative technique for solving a system of simultaneous linear algebraic equations?Gauss eliminationGauss-JordanGauss-Seidel$LU$ decompo...
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GATE Chemical 2016 | Question: 52
A $PI$ controller with integral time constant of $0.1$ min is to be designed to control a process with transfer function$$G_{P}\left ( s \right )=\frac{10}{s^{2}+2s+100}$...
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