Recent activity by Shri 1

The velocity profile for a fully developed laminar flow of an incompressible Newtonian fluid, at steady state, through a horizontal infinitely wide and long slit of gap $...

Cyclohexane $\left(\mathrm{C}_{6} \mathrm{H}_{12}\right)$ is produced from benzene $\left(\mathrm{C}_{6} \mathrm{H}_{6}\right)$ and hydrogen $\left(\mathrm{H}_{2}\right)$...

The data given in the table are fitted to the equation $y=m x$ using the method of least squares. The value of $m$ is $\_\_\_\_$ (rounded off to one decimal place).\[\beg...

Consider a differential equation:\[\begin{array}{c}x^{2} \dfrac{d^{2} y}{d x^{2}}+3 x \dfrac{d y}{d x}-3 y=0 \\\left.\begin{array}{r}y=3 \\\dfrac{d y}{d x}=-5\end{array}\...

The flooding velocity curves for two different structured packings are shown in the figure. The ratio of mass velocities of liquid $\left(G_{x}\right)$ to that of the gas...

Consider a two-dimensional, steady, laminar flow of an incompressible fluid with zero pressure gradient, over a thin horizontal flat plate of length $2 \text{ m}$. The fr...

When a cylindrical capillary glass tube, open at both ends, is vertically inserted in a pool of water, the water level in the tube rises to $7 \mathrm{~cm}$ relative to t...

A feed containing $10 \mathrm{~mol} \%$ propylene, $15 \mathrm{~mol} \%$ ammonia and rest air is charged into a reactor to produce acrylonitrile $\left(\mathrm{C}_{3} \ma...

A first-order homogeneous liquid-phase reaction ( $\mathrm{A} \rightarrow \mathrm{B}$ ) occurs in a non-ideal isothermal reactor operating at steady state. The variance (...

A first-order homogeneous liquid-phase reaction ( $\mathrm{A} \rightarrow \mathrm{B}$ ) occurs in an adiabatic, ideal mixed flow reactor operating at steady state. The vo...

Methanol is formed by the following gas phase homogeneous reaction:\[\mathrm{CO}(\mathrm{~g})+2 \mathrm{H}_{2}(\mathrm{~g}) \leftrightharpoons \mathrm{CH}_{3} \mathrm{OH}...

A pipe with outer diameter of $0.02 \text{ m},$ carries hot water. The temperature at the outer surface of the pipe is $70^{\circ} \mathrm{C}$. This pipe is covered with ...

In a double pipe cocurrent heat exchanger, operating at steady state, oil (specific heat capacity $=2100 \mathrm{~J} \mathrm{~kg}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ ) enter...

A thermometer initially at a steady temperature of $30^{\circ} \mathrm{C}$ is inserted in a water bath maintained at $90^{\circ} \mathrm{C}$. The initial rate of temperat...

Consider three identical non-interacting first order processes in series, each having unit gain and a time constant of $2$ min. Tuning of proportional controller using cl...

Laboratory filtration is conducted at constant pressure drop of $200 \text{ kPa}$ on a slurry of $\mathrm{CaCO}_{3}$ in water at room temperature. The time taken to colle...

A gas stream with $2.01 \mathrm{~mol} \%$ ammonia is to be scrubbed in a counter-current isothermal packed bed absorber using pure water to reduce its concentration to $0...

A continuous distillation column is used to separate an equimolar mixture of diethylamine (DEA) and methanol. The feed enters the column as saturated liquid at a flow rat...

In a certain project, $15 \%$ of the total investment is the working capital. The minimum acceptable rate of return is $4.95 \%$ and the period of evaluation is $15$ year...

The gross energy requirement, to reduce a very large feed of coal to such a size that $80 \%$ of the product passes through a $100 ~\mu \mathrm{m}$ screen, is $13 \text{k...

A control valve with hyperbolic characteristics has a turndown ratio (ratio of maximum flow to minimum controllable flow) of $50$. The flow rate through the valve at $70 ...

The reaction rate constants of two reactions follow Arrhenius' law. The activation energies of Reaction $1$ and Reaction $2$ are $E_{1}$ and $E_{2}$, respectively and $E_...

Consider the following homogeneous isothermal liquid-phase parallel reactions carried out in three reactor configurations (having identical volumes and same operating tem...

Consider the following curve in polar coordinates.\[r=2-2 \sin \theta\]Which one of the following is the area enclosed by the curve for $0 \leq \theta \leq 2 \pi$?$3 \pi$...

Consider the following complex numbers\[\begin{array}{l}z_{1}=r_{1}\left(\cos \theta_{1}+i \sin \theta_{1}\right) \\z_{2}=r_{2}\left(\cos \theta_{2}+i \sin \theta_{2}\rig...

A volatile organic compound $\text{(VOC)}$ is to be adsorbed from air onto a bed of activated carbon. The equilibrium capacity of activated carbon at the feed conditions ...

 Vapor pressure of water at various temperature is given in the table.\[\begin{array}{|l|c|c|c|c|c|}\hline\text{Temperature (in K)} & 284 & 289 & 294 & 299 & 310 \\\hline...

$K$ value is defined as the ratio of mole fraction of a component in the vapor phase to that in the liquid phase. The $K$ values of propane and iso-butane at $293$ $K$ ar...

Consider a non-reactive binary mixture of two ideal gases $\text{A}$ and $\text{B}$ in an isothermal horizontal closed tube. Due to the concentration difference at the tw...

Consider a flow with the following velocity field\[\overrightarrow{\boldsymbol{V}}=(x+y) \hat{\boldsymbol{\imath}}+(y+z) \hat{\boldsymbol{\jmath}}+(z+x) \widehat{\boldsym...

Using single step trapezoidal rule, the value of\[\int_{0}^{0.5}\left(1+16 x-20 x^{2}\right) d x\]is $\_\_\_\_$ (rounded off to two decimal places).

An experiment is performed by rolling an unbiased die once. Events A and B are defined as follows:Event A: The outcome of the rolled die is a prime number.Event B: The ou...

Water is discharged from vertical side of a tank through a circular orifice of diameter $2$ cm under laminar flow conditions. The water surface in the tank is maintained ...

Consider a homogeneous gas phase reaction, $\mathrm{A}+2 \mathrm{~B} \rightarrow 2 \mathrm{C}+3 \mathrm{D}$, occurring at constant temperature and pressure in a varying v...

A two-dimensional temperature profile is given as $T=2 x^{2}+3 x y+y^{2}$. If $\hat{\boldsymbol{\imath}}$ and $\hat{\boldsymbol{\jmath}}$ are the unit vectors along $x$ a...

Urea has its major use as a solid fertilizer for nitrogen fixation. Which of the following is/are other application(s) of urea?manufacturing of resins and plasticsmelamin...

Which of the following statements regarding the heat of reaction is/are CORRECT?For endothermic reaction, it is positive.For exothermic reaction, it is negative.For exoth...

In which of the following condition(s), Bernoulli's equation is applicable?incompressible flowinviscid flowunsteady flowflow along a streamline