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Four hills $\text{H1, H2, H3}$, and $\text{H4}$ are present in an area. The following observations are made about them:Neither $\text{H2}$ nor $\text{H3}$ is the easternm...
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A gas mixture of $50 \mathrm{wt} . \%$ argon and $50 \mathrm{wt} . \%$ helium flowing through a horizontal tube of uniform diameter at a rate of $1 \mathrm{~kg} \mathrm{~...
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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...
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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...
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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...
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The block diagram of a series cascade control system (with time in minutes) is shown in the figure. For $\tau_{l}=8 \: \mathrm{~min}$ and $K_{c}^{s}=1$, the maximum value...
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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...
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Consider a process with transfer function$$G_{p}=\frac{2 e^{-s}}{(5 s+1)^{2}}$$A first-order plus dead time $\text{(FOPDT)}$ model is to be fitted to the unit step proces...
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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...
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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)...
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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 \:...
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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 \...
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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 \...
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A binary $\text{AB}$ liquid mixture containing $30 \: \mathrm{~mol} \% \: \text{A}$ is subjected to differential (Rayleigh) distillation at atmospheric pressure in order ...
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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...
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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...
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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...
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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...
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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 ...
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An ideal monoatomic gas is contained inside a cylinder-piston assembly connected to a Hookean spring as shown in the figure. The piston is frictionless and massless. The ...
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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...
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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 $\_\_\_\_\_$ (...
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Consider the matrix$$A=\left[\begin{array}{ll} 2 & 3 \\ 1 & 2\end{array}\right]$$The eigenvalues of the matrix are $0.27$ and $\_\_\_\_$ (rounded off to $2$ decimal place...
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​​​​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 ...
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​​​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 ...
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​​​​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 ...
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​​​​​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 ...
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​​​​$500 \: \mathrm{mg}$ of a dry adsorbent is added to a beaker containing $100 \: \mathrm{mL}$ solution of concentration $100 \: \mathrm{mg \: phenol/ (L \: solution)}$...
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​​​​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...
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​​​​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...
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​​​A probability distribution function is given as$$p(x)=\left\{\begin{array}{ll} \frac{1}{a}, & x \in(0, a) \\ 0, & \text { otherwise } \end{array}\right.$$where $a$ is ...
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​​​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...
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The residence-time distribution (RTD) function of a reactor $\left(\right.$ in $\left.\min ^{-1}\right)$ is$$ E(t)=\left\{\begin{array}{ll}1-2 t, & t \leq 0.5 \mathrm{~mi...
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Oil is extracted from mustard seeds having $20 \: \mathrm{wt} \%$ oil and $80 \: \mathrm{wt} \%$ solids, using hexane as a solvent. After extraction, the hexane-free resi...
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Ideal nonreacting gases $A$ and $B$ are contained inside a perfectly insulated chamber, separated by a thin partition, as shown in the figure. The partition is removed, a...
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The following data is given for a ternary $\text{A B C}$ gas mixture at $12\: \mathrm{MPa}$ and $308 \: \mathrm{K}$:$$\begin{array}{|c|c|c|c|} \hline \text{Component} i \...
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​​​​Consider an enzymatic reaction that follows Michaelis-Menten kinetics. Let $K_{M}, S$, and $V_{\max }$ denote the Michaelis constant, substrate concentration, and max...
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​​​​Which of the following statements regarding multiple effect evaporators is/are TRUE?The pressure of the effect with fresh steam is the lowest for both forward feed an...
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​​​​Choose the option that correctly matches the items in Group $1$ with those in Group $2$.$$\begin{array}{|l|l|}\hline \textbf{ Group 1 } & \textbf{ Group 2 } \\\hline ...
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​​​​​In the CONTACT PROCESS for manufacturing sulphuric acid, the reaction converting $\mathrm{SO}_{2}$ to $\mathrm{SO}_{3}$ isExothermic and reversibleEndothermic and re...