Recent questions tagged gate2020

A vertically held packed bed has a height of $1 \: m$, and void fraction of $0.1$, when there is no flow through the bed. The incipient (minimum) fluidization is set in b...

A catalytic gas phase reaction $P \rightarrow Q$ is conducted in an isothermal packed bed reactor operated at steady state. The reaction is irreversible and second order ...

Flow of water thorough an equal percentage valve is $900 \text{ litre } h^{-1}$ at $30 \%$ opening, and $1080 \text{ litre } h^{-1}$ at $35 \%$ opening. Assume that the p...

Given $\dfrac{dy}{dx}=y-20$, and $y \mid_{x=0}=40$, the value of $y$ at $x=2$ is _________ (round off to nearest integer)

Consider the following dataset.$$\begin{array}{|c|c|c|c|c|c|} \hline x & 1 & 3 & 5 & 15 & 25 \\ \hline f(x) & 6 & 8 & 10 & 12 & 5 \\ \hline \end{array}$$The value of the ...

Which one of the following methods requires specifying an initial interval containing the root (i.e., bracketing) to obtain the solution of $f(x) =0$, where $f(x)$ is a c...

Consider the hyperbolic functions in $\textbf{Group-1}$ and their definitions in $\textbf{Group-2}$.$\begin{array}{llll} & \textbf{Group-1} & & \textbf{Group-2} \\ \textb...

Consider the following continuously differentiable function $$\textbf{v}(x,y,z)=3x^2y \textbf{ i} + 8y^2z \textbf{ j} + 5xyz \textbf{ k}$$ where $\textbf{i, j,}$ and $\te...

Consider the following unit step function.The Laplace transform of this function is$\dfrac{e^{-3s}}{s} \\ $$\dfrac{e^{-3s}}{s^2} \\$$\dfrac{e^{-3s}}{3s} \\$$\dfrac{e^{-6s...

In a constant-pressure cake filtration with an incompressible cake layer, volume of the filtrate $(V)$ is measured as a function of time $t$. The plot of $t/V$ versus $V$...

In a laboratory experiment, a unit pulse input of tracer is given to an ideal plug flow reactor operating at steady state with a recycle ratio, $R=1$. The exit age distri...

The square of Thiele modulus, $M_{T}$, is given by $M_{T}^2 = \dfrac{L^2k}{D_{eff}}$, where $L$ is the characteristic length of the catalyst pellet, $k$ is the rate const...

Hot-wire anemometer is used for the measurement ofcompositionflowpressuretemperature

Pure gas $\textbf{P}$ is being absorbed into a liquid. The dissolved $\textbf{P}$ undergoes an irreversible reaction in the liquid film. The reaction is first order with ...

Consider a batch distillation process for an equimolar mixture of benzene and toluene at atmospheric pressure. The mole fraction of benzene in the distillate collected af...

Which one of the following is $\textbf{NOT CORRECT}$?nylon$-6,6$ is produced by condensation polymerizationphenol-formaldehyde resin is a thermosetting polymerhigh densit...

The operating temperature range for the Haber process is $350-500^{\circ}C$. It is used for the production of ammonia at$20 \:MPa$ using $Fe$ catalyst in an exothermic re...

Consider the refinery processes in $\textbf{Group-I}$ and the catalysts in $\textbf{Group-2}$.$\begin{array}{llll} & \textbf{Group-I} && \textbf{Group-2} \\ \textbf{P} & ...

Consider the processes in $\textbf{Group – 1}$ and the reactions in $\textbf{Group – 2}$.$\begin{array}{llll} & \textbf{Group – 1} & & \textbf{Group – 2} \\ \textbf{P} & ...

Annual capacity of a plant producing phenol is $100$ metric tons. Phenol sells at INR $200$ per kg, and its production cost is INR $50$ per kg. The sum of annual fixed ch...

A rigid spherical particle undergoes free settling in a liquid of density $750 \: kg \: m^{-3}$ and viscosity $9.81 \times 10^{-3} \: Pa \: s$. Density of the particle is...

Consider an incompressible flow of a constant property fluid over a smooth, thin and wide flat plate. The free stream flows parallel to the surface of the plate along its...

Ratio of momentum diffusivity to thermal diffusivity isReynolds numberPrandtl numberNusselt numberPeclet number

Mole fraction and activity coefficient of component $1$ in a binary liquid mixture are $x_1$ and $\gamma _1$ respectively. $G^E$ is excess molar Gibbs energy of the mixtu...

Leidenfrost phenomenon refers tothe condensation of vapour on a cold surfacethe exchange of heat between two solidsthe melting of frostfilm boiling and evaporation of liq...