Register

Recent questions tagged numerical-answers

0 0 votes
1 1 answer
GATE CH 2023 | Question: 13
Given that$$F=\frac{\left|z_1+z_2\right|}{\left|z_1\right|+\left|z_2\right|},$$where $z_1=2+3 i$ and $z_2=-2+3 i$ with $i=\sqrt{-1}$, which one of the following options i...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 20
For a packed-bed comprising of uniform-sized spherical particles of diameter $D_{\mathrm{p}}$, the pressure drop across the bed is given by the Kozeny-Carman equation whe...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 22
A slab of thickness $L$, as shown in the figure below, has cross-sectional area $A$ and constant thermal conductivity $k. T_1$ and $T_2$ are the temperatures at $x=0$ and...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 25
A liquid surge tank has $F_{\text {in }}$ and $F_{\text {out }}$ as the inlet and outlet flow rates respectively, as shown in the figure below. $F_{\text {out }}$ is prop...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 26
A packed distillation column, with vapor having an average molecular weight of $45 \mathrm{~kg} \cdot \mathrm{kmol}^{-1}$, density of $2 \mathrm{~kg} \cdot \mathrm{m}^{-3...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 31
The position $x(t)$ of a particle, at constant $\omega$, is described by the equation$$\frac{d^2 x}{d t^2}=-\omega^2 x.$$The initial conditions are $x(t=0)=1$ and $\left....
0 0 votes
0 0 answers
GATE CH 2023 | Question: 32
Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the combustor at $100 \mathrm{~mol} . \mathrm{hr}^{-1}$, of w...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 33
The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter $0.5 \mathrm{~mm}$ and length $1.5 \mathrm{~m}$. The fluid flow is lamin...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 34
A liquid $\boldsymbol{L}$ containing a dissolved gas $\boldsymbol{S}$ is stripped in a countercurrent operation using a pure carrier gas $\boldsymbol{V}$. The liquid phas...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 35
In a binary gas-liquid system, $N_{A, E M D}$ is the molar flux of a gas $A$ for equimolar counter diffusion with a liquid $B . N_{A, U M D}$ is the molar flux of $A$ for...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 36
An exhibition was held in a hall on $15$ August $2022$ between $\text{3 PM}$ and $\text{4 PM}$ during which any person was allowed to enter only once. Visitors who entere...
1 1 vote
0 0 answers
GATE CH 2023 | Question: 40
Water in a container at $290 \mathrm{~K}$ is exposed to air containing $3 \% ~ \mathrm{CO}_2$ by volume. Air behaves like an ideal gas and is maintained at $100 ~ \mathrm...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 41
The enthalpy $\left(H\right.$, in J. $\left.\mathrm{mol}^{-1}\right)$ of a binary liquid system at constant temperature and pressure is given as$$H=40 x_1+60 x_2+x_1 x_2\...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 45
Level $(h)$ in a steam boiler is controlled by manipulating the flow rate $(F)$ of the make-up (fresh) water using a proportional (P) controller. The transfer function be...
0 0 votes
1 1 answer
GATE CH 2023 | Question: 47
If a matrix $M$ is defined as $M=\left[\begin{array}{cc}10 & 6 \\ 6 & 10\end{array}\right]$, the sum of all the eigenvalues of $M^3$ is equal to______________(in integer)...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 48
The first derivative of the function$$U(r)=4\left[\left(\frac{1}{r}\right)^{12}-\left(\frac{1}{r}\right)^6\right]$$evaluated at $r=1$ is___________(in integer).
0 0 votes
0 0 answers
GATE CH 2023 | Question: 49
Wet air containing $10$ mole percent water vapor is dried by continuously passing it through a column of $\mathrm{CaCl}_2$ pellets. The pellets remove $50$ percent of wat...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 50
Orsat analysis showing the composition (in $\text{mol} \%,$ on a dry basis) of a stack gas is given in the table below. The humidity measurement reveals that the mole fra...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 51
A pump draws water $\left(\right.$ density $\left.=1000 \mathrm{~kg} \cdot \mathrm{m}^{-3}\right)$ at a steady rate of $10 \mathrm{~kg} \cdot \mathrm{s}^{-1}$. The pressu...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 52
A cylindrical tank with a diameter of $500 \mathrm{~mm}$ contains water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height $h$. A $5 \mathrm{~mm}$ diameter ...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 53
A large tank is filled with water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height of $5 \mathrm{~m}$. A $100 ~ \mu \mathrm{m}$ diameter solid spherical p...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 54
A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature $T_s$ as shown in the figure below. The velocity and temperature of the ...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 55
A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a coolant (see figure below). Oil enters the outer ann...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 56
Partially saturated air at $1 \; \mathrm{bar}$ and $50^{\circ} \mathrm{C}$ is contacted with water in an adiabatic saturator. The air is cooled and humidified to saturati...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 58
Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction.$$\textbf{A} \longrightarrow \textbf{products}$$The catalyst gets deactivated...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 59
A unimolecular, irreversible liquid-phase reaction$$\boldsymbol{A} \longrightarrow \boldsymbol{P}$$was carried out in an ideal batch reactor at temperature $T$. The rate ...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 60
An irreversible liquid-phase second-order reaction$$\boldsymbol{A} \stackrel{k}{\longrightarrow} \boldsymbol{B}$$with rate constant $k=0.2$ liter. $\mathrm{mol}^{-1} \mat...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 61
The outlet concentration $C_A$ of a plug flow reactor $\text{(PFR)}$ is controlled by manipulating the inlet concentration $C_{A 0}$. The following transfer function desc...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 62
The transfer function of a measuring instrument is$$G_m(s)=\frac{1.05}{2 s+1} \exp (-s) .$$At time $t=0$, a step change of $+1$ unit is introduced in the input of this in...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 63
A design engineer needs to purchase a membrane module $(\mathrm{M})$ for a plant. Details about the two available options, $\text{M1}$ and $\text{M2,}$ are given in the t...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 64
The purchase cost of a new distillation column is $\text{Rs. 10 lakhs}$ with an installation factor of $5.8.$ The cost of the capital is to be annualized over a period of...
0 0 votes
0 0 answers
GATE CH 2023 | Question: 65
Pumps $A$ and $B$ are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the table below. The interest rate is $10 \%$ per a...
0 0 votes
0 0 answers
GATE CH 2022 | Question: 1
The value of $(1 + i)^{12}$, where $i = \sqrt{-1}$, is$-64i$$64i$$64$$-64$
0 0 votes
1 1 answer
GATE CH 2022 | Question: 2
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is$(1, 1)$$(1, 2)$$(2, 2)$$(2...
0 0 votes
0 0 answers
GATE CH 2022 | Question: 7
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the surroundings. If the rate of diffusi...
0 0 votes
0 0 answers
GATE CH 2022 | Question: 18
The area of a circular field is $25\: m^{2}$. The radius, $r$, is to be determined using the Newton-Raphson iterative method. For an initial guess of $r = 2.500\: m$, the...
0 0 votes
0 0 answers
GATE CH 2022 | Question: 19
$5$ moles of liquid benzene, $8$ moles of liquid toluene and $7$ moles of liquid xylene are mixed at $25^{\circ}C$ and $1$ bar. Assuming the formation of an ideal solutio...
0 0 votes
0 0 answers
GATE CH 2022 | Question: 20
A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at $100^{\circ}C$ and leaves as saturated water at $1...
0 0 votes
0 0 answers
GATE CH 2022 | Question: 21
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....
0 0 votes
0 0 answers
GATE CH 2022 | Question: 22
Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer coefficient ot $S$ in liquid $A$ is twice of ...
Page: