Recent questions tagged numerical-answers - GATE Chemical Q&A

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GATE2015-62
Consider a control system with the open loop transfer function given by : ... gain margin of $1.7$ (up to one decinmal place) is _________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2015-63
The cost of two independent process variables $f_{1}$ and $f_{2}$ affects the total cost $C_{T}$ (in lakhs of rupees) of ... , in lakhs of rupees (up to one decimal place), is ___________.

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2015-64
A proposed chemical plant is estimated to have a fixed capital $(FC)$ of $Rs$. $24$ crores. Assuming other costs to be ... project in crores of rupees (up to one decimal place) is ______.

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-GA-8
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between ... angle of the triangle and the largest angle of the quadrilateral?

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (7.9k points)

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GATE2014-GA-5
A foundry has a fixed daily cost of Rs $50,000$ whenever it operates and a variable cost of Rs $800Q,$ where $Q$ is ... production in Rs per tonne for a daily production of $100$ tonnes?

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (7.9k points)

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GATE2014-51
Consider a binary liquid mixture at equilibrium with its vapour at $25^{\circ}C$. Antoine equation for this system is given ... $1$ in vapour phase $(y_{1})$ is ____________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-50
In a steady and incompressible flow of a fluid (density = $1.25\: kg\: m^{-3}$), the difference between stagnation and static ... $m \:s^{-1}$) is _________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-53
Consider the following block diagram for a closed-loop feedback control system A proportional controller is being used with ... the system, then the value of the offset is _____________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-43
A cash flow of Rs. $12,000$ per year is received at the end year (uniform periodic payment) for $7$ consecutive years. The ... worth (in Rs.) of such cash flow at time zero is ____________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-44
A polymer plant with a production capacity of $10,000$ tons per year has an overall yield of $70\%$, ... can the invested amount be recovered with the additional profit? ________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-45
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 __________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-47
The bottom face of a horizontal slab of thickness $6 \:mm$ is maintained at $300^{\circ}C$. The top face is exposed to ... temperature (in $^{\circ}C$) of the top face is ______________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-48
In a steady incompressible flow, the velocity distribution is given by $\bar{V}=3x\hat{i}-Py\hat{j}+5z\hat{k}$, where, $V$ ... the value of the constant $P$ (in $s^{-1}$) is _____________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-36
A binary distillation column is operating with a mixed feed containing $20$ mol$\%$ vapour. If the feed quality is changed to ... the change is the slope of the $q$-line is _______________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-39
An incompressible fluid is flowing through a contraction section of length $L$ and has a $1-D$ ($x$- direction steady state velocity ... $m/s^{2}$) of the fluid at $L$ is _________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-41
Two elemental gases ($A$ and $B$) are reacting to form a liquid ($C$ ... stream (in moles) per $100$ moles of the fresh feed is ___________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-42
Carbon monoxide $(CO)$ is burnt in pressure of $200\%$ excess pure oxygen and the flame temperature achieved is $2298\:K$. ... loss (in $kJ$) per mole of $CO$ burnt Is _________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-30
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 __________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-32
A wet solid of $100\:kg$ is dried from a moisture content of $40\:wt\%$ to $10\:wt\%$. The critical ... period. The duration (in hours) of the falling rate period is ________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-33
A brick wall of $20\:cm$ thickness has thermal conductivity of $0.7\:W\:m^{-1}\:K^{-1}$. An insulation ... insulation. The required thickness (in $cm$) of the isulation is ________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-34
An oil with a flow rate of $1000\:kg/h$ is to be cooled using water in a double-pipe counter-flow heat exchanger from ... area (in $m^{2}$) required for this operation is __________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2014-26
Consider the following differential equation $\frac{dy}{dx}=x+In\:\left ( y \right ); y=2 \: at \: x=0$ The ... $h=0.2$ is ___________________

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-47
A plant manufactures compressors at the rate of N units/day. The daily fixed charges are Rs. 20000 and the variable cost per compressor is ... maximize the daily profit is $\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-48
A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). ... after the decimal point, is $\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-49
A fraction $f$ of the feed is bypassed and mixed with the permeate to obtain treated water having a fluoride concentration of 1 mg/L. Here ... after the decimal point, is $\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-51
Liquid reactant A decomposes as follows A $\rightarrow$ R r${_R} $= k${_1}$C$^{2}${_A}$ k${_1}$ = 0.5m$^{3}$/mol-s A $ ... exit stream is 11.8 mol/m$^{3}$? $\_\_\_ \_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-50
Liquid reactant A decomposes as follows A $\rightarrow$ R r${_R} $= k${_1}$C$^{2}${_A}$ k$ ... CSTR in which the above reactions occur. Assume isothermal and steady state conditions.

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-40
The gas phase decomposition of azomethane to give ethane and nitrogen takes place according to the following sequence of elementary reactions. (CH ... of a azomethane, is $\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-41
A first order liquid phase reaction is carried out isothermally at a steady state in a CSTR and 90% conversion is attained. With the same inlet ... the nearest integer, is $\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-45
A control value, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the value at 40% ... after the decimal point.) $\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-46
The purchase cost of a heat exchanger of 20 m$^{2}$ area was Rs 500000 in 2006. What will be the estimated cost (in Rs to the nearest ... for the year 2013is 512.6. $\_\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-34
100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed ... ) using Bond's law, is $\_\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-35
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 ... K. Assume no phase change. $\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-37
The vapor-liquid equilibrium curve of a binary mixture A-B,may be approximated by a linear equation over a narrow range of liquid mole ... digits after the decimal point, is $\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-39
A study was conducted in which water was pumped through cylindrical pipes made of a sparingly soluble solid. For a given pipe and certain flow ... after the decimal point? $\_\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-26
For the function f(z) = $\frac{1}{(2-z)(z+2)}$ the residue at z = 2 is $\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-29
The value of the integral ${\scriptstyle \int^{0.5} _{0.1}}$ e$^{-x^3}$dx evaluated by Simpson’s rule using 4 subintervals (up to 3 digits after the decimal point) is $\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-31
A binary liquid mixture is in equilibrium with its vapor at a temperature T = 300 K. The liquid mole fraction x${_1}$ of species 1 is ... 2 digits after the decimal point, is $\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-32
Water (density 1000 kg/m$^{3}$) is flowing through a nozzle, as shown below and exiting to the atmosphere. The relationship the diameters ... pressure in Pa, at location 1 is $\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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GATE2013-22
An isothermal liquid phase zero order reaction A $\rightarrow$ B (k = 0.5 mol/m$^{3}$ -s) is carried out in a batch reactor. The initial ... of A in mol/m$^{3}$ is $\_\_\_\_\_\_$

asked Mar 26, 2018 in Others by Milicevic3306 (7.9k points)

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