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GATE Chemical 2015 | Question: 26
A spherical naphthalene ball of $2\:mm$ diameter is subliming very slowly in stagnant air at $25^{\circ}C$. The change in the size of the ball during the sublimation can ...
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GATE Chemical 2015 | Question: 28
For which reaction order, the half-Iife of the reactant is half of the full lifetime (time for $100 \%$ conversion) of the reactant ?Zero orderHalf orderFirst orderSecond...
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GATE Chemical 2015 | Question: 47
A spherical solid particle of $1\: mm$ diameter is falling with a downward velocity of $1.7\:mm/s$ through a liquid (viscosity $0.04\: Pa.s$) at a low Reynolds number Sto...
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GATE Chemical 2015 | Question: 49
A heated solid copper sphere (of surface area $A$ and volume $V$) is immersed in a large body of cold fluid. Assume the resistance to heat transfer inside the sphere to b...
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GATE Chemical 2015 | Question: 51
Consider a solid block of unit thickness for which the thermal conductivity decreases with an increase in temperature. The opposite faces of the block are maintained at c...
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GATE Chemical 2015 | Question: 61
The block diagram for a process with feedback control for output deviation $h$ is shown in the figure below. All transfer functions are given with pre-factor of $s$ in mi...
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GATE Chemical 2015 | Question: 64
A proposed chemical plant is estimated to have a fixed capital $(FC)$ of $Rs$. $24$ crores. Assuming other costs to be small, the total investment may be taken to be same...
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GATE Chemical 2014 | Question: 55
Match the raw materials of Group-$1$ and $2$ with the final products of Group-$3$$$\begin{array}&&\textbf{Group 1} & \textbf{Group 2} & \textbf{Group 3} \\ &\text{P$_{1}$...
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GATE Chemical 2014 | Question: 52
A process with transfer function, $G_{p}=\frac{2}{s-1}$ is to be controlled by a feedback proportional controller with a gain $K_{c}$. If the transfer functions of all ot...
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GATE Chemical 2014 | Question: 31
A spherical ball of benzoic acid (diameter=$1.5\:cm$) is submerged in a pool of still water. The solubility and diffusively of benzoic acid in water are $0.03$ $k$mol/$m^...
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GATE Chemical 2014 | Question: 4
If $f(x)$ is a real and continuous function of $x$, the Taylor series expansion of $f(x)$ about its minima will $NEVER$ have a term containingfirst derivativesecond deriv...
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GATE Chemical 2013 | Question: 21
The exit age distribution for a reactor is given by E(t) = $\delta$(t-4), where t is in seconds. A first order liquid phase reaction (k = 0.25 s$^{-1}$) is carried out in...
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GATE Chemical 2013 | Question: 13
For a Newtonian fluid flowing in a circular pipe under steady state conditions in fully developed laminar flow, the fanning friction factor is0.046Re$^{-0.2}$0.0014 + $\f...
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GATE Chemical 2012 | Question: 47
Match the polymer in Group I to the polymer characteristic in Group II Group I ...
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GATE Chemical 2012 | Question: 43
A batch reactor 1x10$^{5}$ kg of a product per year. The total batch time (in hours) of the reactor is k$\sqrt{P}{_B}$, where ${P}{_B}$is the product per batch in kg and ...
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GATE Chemical 2012 | Question: 41
The elementary reversible exothermic gas-phase reaction A + 3B $\rightleftharpoons$ 2Cis to be conducted in a non-i...
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GATE Chemical 2012 | Question: 24
A thermometer initially at $100^{ \circ}C$ is dipped at $t = 0$ into an oil bath, maintained at $150^{\circ}C$. If the recorded temperature is $130^{\circ}C$ after $1$ mi...
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GATE Chemical 2018 | Question: 3
A watch uses two electronic circuits ($ECs$). Each $EC$ has a failure probability of $0.1$ in one year of operation. Both $ECs$ are required for functioning of the watch....
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GATE CH 2023 | Question: 52
A cylindrical tank with a diameter of $500 \mathrm{~mm}$ ... is equal to___________(rounded off to two decimal places).
A cylindrical tank with a diameter of $500 \mathrm{~mm}$ contains water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height $h$. A $5 \mathrm{~mm}$ diameter ...
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GATE CH 2022 | Question: 33
Match the product in Group-$1$ with the manufacturing process in Group-$2$ ... $\text{P-I, Q-IV, R-II, S-III}$
Match the product in Group-$1$ with the manufacturing process in Group-$2$. The correct combination is$$\begin{array}{|c|c|} \hline\text{} & \text{Group – 1} & & \text{...
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GATE Chemical 2019 | Question: 43
Stream $A$ with specific heat capacity $C_{PA}=2000\:J/\left ( kg\:K \right )$ is cooled from $90^{\circ}C$ to $45^{\circ}C$ in a concentric double pipe counter current...
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GATE Chemical 2019 | Question: 48
The elementary irreversible gas-phase reaction $A\rightarrow B+C$ is carried out adiabatically in an ideal $CSTR$ (Continuous-Stirred Tank Reactor) operating at 10 $atm$....
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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: 11
A binary liquid mixture of benzene and toluene contains $20$ mol$\%$ of benzene. At $350 \:K$ the vapour pressures of pure benzene and pure toluene are $92\: kPa$ and $35...
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GATE Chemical 2016 | Question: 48
A liquid phase irreversible reaction$A{\rightarrow}B$ is carried out in an adiabatic $CSTR$ operating under steady state conditions. The reaction is elementary and follow...
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GATE Chemical 2015 | Question: 65
Select the $\text{WRONG}$ statement regarding water gas shift converters from the list below.Inter-stage cooling is provided between the two stages of shift converters Us...
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GATE Chemical 2013 | Question: 52
The vapor liquid equilibrium relation for an ideal binary system is given by y*${_A}$ = $\frac{\alpha{_A}{_B}x{_A}}{...
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GATE Chemical 2013 | Question: 51
Liquid reactant A decomposes as follows A $\rightarrow$ R r${_R} $= k${_1}$C$^{2}$${_A}$ k${_1}$ = 0.5m$^{3}$/mol-s...
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GATE Chemical 2013 | Question: 44
A unit gain 2$^{nd}$ order underdamped process has a period of oscillation 1 second and decay ratio 0.25. The transfer function of the process is$\frac{1}{0.024s^2 + 0.06...
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GATE Chemical 2012 | Question: 44
Heat integration is planned in a process plant at an investment Rs. 2x10$^{6}$. This would result in a net energy savings of 20 GJ per year. If the nominal rate of intere...
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GATE Chemical 2018 | Question: 19
According to the surface renewal theory, the unit of fractional rate of surface renewal ism$^{2}$ s$^{-2}$m$^{2}$ s$^{-1}$m s$^{-1}$$s^{-1}$
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GATE Chemical 2018 | Question: 13
The Annual Fixed Charges ($AFC$) and Annual Utilities Costs ($AUC$) of a distillation column being designed are expressed in terms of the reflux ratio ($R$) as $AFC$ ($Rs...
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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: 37
​​​​​​Let $r$ and $\theta$ be the polar coordinates defined by $x=r \cos \theta$ and $y=r \sin \theta$. The area of the cardioid $r=a(1-\cos \theta), 0 \leq \...
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GATE CH 2022 | Question: 43
In a constant-rate cake filtration operation, the collected filtrate volumes are $120\:m^{3}$ ... $\text{kPa}$ (rounded off to the nearest integer).
In a constant-rate cake filtration operation, the collected filtrate volumes are $120\:m^{3}$ and $240\:m^{3}$ at $1$ min and $2$ min, respectively. Assume the cake resis...
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GATE CH 2022 | Question: 44
A cylindrical fin of diameter $24$ $\text{mm}$ is attached horizontally to a vertical planar wall. The heat transfer ... $\text{mm}$ (rounded off to the nearest integer).
A cylindrical fin of diameter $24$ $\text{mm}$ is attached horizontally to a vertical planar wall. The heat transfer rate from the tin to the surrounding ar is $60\%$ of ...
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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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