Recent questions without answers

​​​Consider a Cartesian coordinate system with orthogonal unit basis vectors $\hat{\imath}, \hat{\jmath}$ defined over a domain: $x, y \in[0,1]$. Choose the condition for...

​​​​A hot plate is placed in contact with a cold plate of a different thermal conductivity as shown in the figure. The initial temperature (at time $t=0$ ) of the hot pla...

​​​​The first-order irreversible liquid phase reaction $A \rightarrow B$ occurs inside a constant volume $(V)$ isothermal CSTR with the initial steady state conditions sh...

​​​​$500 \: \mathrm{mg}$ of a dry adsorbent is added to a beaker containing $100 \: \mathrm{mL}$ solution of concentration $100 \: \mathrm{mg \: phenol/ (L \: solution)}$...

​​​​​A catalyst particle is modeled as a symmetrical double cone solid as shown in the figure. For each conical sub-part, the radius of the base is $r$ and the height is ...

​​​​A zero-order gas phase reaction $A \rightarrow B$ with rate $\left(-r_{A}\right)=k=100 \mathrm{~mol} /(\mathrm{L \: min )}$ is carried out in a mixed flow reactor of ...

​​​For a steady state, fully developed laminar flow of a Newtonian fluid through a cylindrical pipe at a constant volumetric flow rate, which of the following statements ...

​​​​Consider the differential equation$$ \frac{d y}{d x}+\frac{y}{x}=0$$Choose the CORRECT option(s) for the solution $y$.$y=x+c ; c$ is a constant$y=\frac{c}{x} ; c$ is ...

The Newton-Raphson method is used to find the root of$$f(x) \equiv x^{2}-x-1=0$$Starting with an initial guess $x_{(0)}=1$, the second iterate $x_{(2)}$ is $\_\_\_\_\_$ (...

Consider moist air with absolute humidity of $0.02 \: \mathrm{(kg \: moisture)} / \mathrm{(kg dry air)}$ at $1$ bar pressure. The vapour pressure of water is given by the...

A leaf filter is operated at $1$ atm (gauge). The volume of filtrate collected $\left(V\right.$ in $\left.\mathrm{m}^{3}\right)$ is related with the volumetric flow rate ...

An adiabatic pump of efficiency $40 \%$ is used to increase the water pressure from $200 \: \mathrm{kPa}$ to $600 \: \mathrm{kPa}$ . The flow rate of water is $600 \mathr...

Water flowing at $70 \mathrm{~kg} / \mathrm{min}$ is heated from $25^{\circ} \mathrm{C}$ to $65^{\circ} \mathrm{C}$ in a counter-flow double pipe heat exchanger using hot...

Consider laminar flow of water over a wide flat plate maintained at a uniform temperature of $50^{\circ} \: \mathrm{C}$ as shown in the figure. The freestream velocity an...

An electrical wire of $2 \: \mathrm{mm}$ diameter and $5 \: \mathrm{m}$ length is insulated with a plastic layer of thickness $2 \: m\mathrm{m }$ and thermal conductivity...

A binary $\text{AB}$ liquid mixture containing $30 \: \mathrm{~mol} \% \: \text{A}$ is subjected to differential (Rayleigh) distillation at atmospheric pressure in order ...

Gas containing $0.8\: \mathrm{~mol} \%$ component $\text{A}$ is to be scrubbed with pure water in a packed bed column to reduce the concentration of $\text{A}$ to $0.1 \...

Solute $A$ is absorbed from a gas into water in a packed bed operating at steady state. The absorber operating pressure and temperature are $1 \: \mathrm{atm}$ and $300 \...

Components $A$ and $B$ form an azeotrope. The saturation vapour pressures of $A$ and $B$ at the boiling temperature of the azeotrope are $87 \: \mathrm{kPa}$ and $72.7 \:...

The reaction $A \: \rightarrow$ products with reaction rate, $\left(-r_{A}\right)=k C_{A}^{3}$, occurs in an isothermal PFR operating at steady state. The conversion $(X)...

The catalytic gas phase reaction $A \rightarrow$ products is carried out in an isothermal batch reactor of $10 \: \mathrm{L}$ volume using $0.1 \: \mathrm{kg}$ of a soli...

Methanol is produced by the reversible, gas-phase hydrogenation of carbon monoxide as$$ \mathrm{CO}+2 \mathrm{H}_{2} \leftrightarrow \mathrm{CH}_{3} \mathrm{OH}$$$\mathrm...

It is proposed to install thermal insulation in a residence to save on the summer-monsoon season air-conditioning costs. The estimated yearly saving is $20$ thousand rupe...

Consider the flowsheet in the figure for manufacturing $C$ via the reaction $A+B \rightarrow C$ in an isothermal CSTR. The split in the separator is perfect so that the r...

A wet solid of $100 \:\textsf{kg}$ containing $30 \: \mathrm{wt} \%$ moisture is to be dried to $2 \: \mathrm{wt} \%$ moisture in a tray dryer. The critical moisture cont...

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 𝑃out and thepressur...

​​​​​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 ...