Questions by admin

​​​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous to [break ...

​​On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time $12:05:00$ hours to $12: 55: 00$ hours?$51$$49...

​​​​​​In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.From the ancient Athenian arena to the modern Olympic stadium...

The first non-zero term in the Taylor series expansion of $(1-x)-e^{-x}$ about $x=0$ is$1$$-1$$\frac{x^{2}}{2}$$-\frac{x^{2}}{2}$

If $z_{1}=-1+i$ and $z_{2}=2 i$, where $i=\sqrt{-1}$, then $\operatorname{Arg}\left(z_{1} / z_{2}\right)$ is$\frac{3 \pi}{4}$$\frac{\pi}{4}$$\frac{\pi}{2}$$\frac{\pi}{3}$

​​​​​A homogeneous azeotropic distillation process separates an azeotropic $AB$ binary feed using a heavy entrainer, $E$, as shown in the figure. The loss of $E$ in the t...

An infinitely long cylindrical water filament of radius $R$ is surrounded by air. Assume water and air to be static. The pressure outside the filament is $P_{\text {out }...

​​​​​The velocity field in an incompressible flow is $\boldsymbol{v}=\alpha x y \hat{\boldsymbol{\imath}}+v_{y} \hat{\boldsymbol{\jmath}}+\beta \widehat{\boldsymbol{k}}$,...

​​​​​Consider the steady, uni-directional diffusion of a binary mixture of $A$ and $B$ across a vertical slab of dimensions $0.2 \mathrm{~m} \times 0.1 \mathrm{~m} \times...

Consider a vapour-liquid mixture of components $A$ and $B$ that obeys Raoult's law. The vapour pressure of $A$ is half that of $B$. The vapour phase concentrations of $A$...

The ratio of the activation energy of a chemical reaction to the universal gas constant is $1000 \mathrm{~K}$. The temperature-dependence of the reaction rate constant fo...

​​​​​​The rate of a reaction $A \rightarrow B$ is $0.2 \mathrm{~mol} \mathrm{~m}^{-3} \mathrm{~s}^{-1}$ at a particular concentration $C_{A 1}$. The rate constant of the ...

​​​​​Two parallel first-order liquid phase reactions $A \xrightarrow{k_{1}} B$ and $A \xrightarrow{k_{2}} C$ are carried out in a well-mixed isothermal batch reactor. The...

Consider the block diagram in the figure with control input $u$, disturbance $d$ and output $y$. For the feedforward controller, the ordered pair $(K, \alpha / \beta)$ is...

​​​​​Consider the control structure for the overhead section of a distillation column shown in the figure. The composition controller (CC) controls the heavy key impurity...

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...

​​​​​In an ammonia manufacturing facility, the necessary hydrogen is generated from methane. The facility consists of the following process units -$\text{P}$: Methanator,...

​​​​​​Consider a linear homogeneous system of equations $\text{Ax}=0$, where $\text{A}$ is an $n \times n$ matrix, $\text{x}$ is an $n \times 1$ vector and $0$ is an $n \...

If the Prandtl number $\operatorname{Pr}=0.01$, which of the following statements is/are correct?The momentum diffusivity is much larger than the thermal diffusivity.The ...

For the electrolytic cell in a chlor-alkali plant, which of the following statements is/are correct?A membrane cell operates at a higher brine concentration than a diaphr...

​​​​​​Which of the following statements with reference to the petroleum/petrochemical industry is/are correct?Catalytic hydrocracking converts heavier hydrocarbons to lig...

Consider a matrix $\text{A}=\left[\begin{array}{cc}-5 & a \\ -2 & -2\end{array}\right]$, where $a$ is a constant. If the eigenvalues of $\text{A}$ are $-1$ and $-6$, then...

Consider the reaction $\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(g) \rightleftharpoons 2 \mathrm{NH}_{3}(g)$ in a continuous flow reactor under steady-state conditions...

Consider a binary mixture of components $A$ and $B$ at temperature $T$ and pressure $P$. Let $\bar{V}_{A}$ and $\bar{V}_{B}$ be the partial molar volumes of $A$ and $B$, ...

Consider the steady, uni-directional, fully-developed, pressure-driven laminar flow of an incompressible Newtonian fluid through a circular pipe of inner radius $5.0 \mat...

The opposite faces of a metal slab of thickness $5 \mathrm{~cm}$ and thermal conductivity $400 \mathrm{~W} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ are maintained at ...

The capital cost of a distillation column is Rs. $90$ lakhs. The cost is to be fully depreciated (salvage value is zero) using the double-declining balance method over $1...

​​​​Consider a steady, fully-developed, uni-directional laminar flow of an incompressible Newtonian fluid (viscosity $\mu$ ) between two infinitely long horizontal plates...

​​​​​​The temperatures of two large parallel plates of equal emissivity are $900 \mathrm{~K}$ and $300 \mathrm{~K}$. A reflection radiation shield of low emissivity and n...

​​​​​Hot oil at $110{ }^{\circ} \mathrm{C}$ heats water from $30^{\circ} \mathrm{C}$ to $70{ }^{\circ} \mathrm{C}$ in a counter-current double-pipe heat exchanger. The fl...

​​​​​A solid slab of thickness $H_{1}$ is initially at a uniform temperature $T_{0}$. At time $t=0$, the temperature of the top surface at $y=H_{1}$ is increased to $T_{1...

​​​​​​A gas stream containing $95 \mathrm{~mol} \% \mathrm{CO}_{2}$ and $5 \mathrm{~mol} \%$ ethanol is to be scrubbed with pure water in a counter-current, isothermal ab...