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Level $(h)$ in a steam boiler is controlled by manipulating the flow rate $(F)$ of the make-up (fresh) water using a proportional (P) controller. The transfer function be...
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Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction.$$\textbf{A} \longrightarrow \textbf{products}$$The catalyst gets deactivated...
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Which one of the following represents the $\text{CORRECT}$ effects of concentration polarization in a reverse osmosis process?Reduced water flux and reduced solute reject...
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A cascade control strategy is shown in the figure below. The transfer function between the output $(y)$ and the secondary disturbance $\left(d_2\right)$ is defined as$$G_...
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If a matrix $M$ is defined as $M=\left[\begin{array}{cc}10 & 6 \\ 6 & 10\end{array}\right]$, the sum of all the eigenvalues of $M^3$ is equal to______________(in integer)...
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A pump draws water $\left(\right.$ density $\left.=1000 \mathrm{~kg} \cdot \mathrm{m}^{-3}\right)$ at a steady rate of $10 \mathrm{~kg} \cdot \mathrm{s}^{-1}$. The pressu...
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A cylindrical tank with a diameter of $500 \mathrm{~mm}$ contains water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height $h$. A $5 \mathrm{~mm}$ diameter ...
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A unimolecular, irreversible liquid-phase reaction$$\boldsymbol{A} \longrightarrow \boldsymbol{P}$$was carried out in an ideal batch reactor at temperature $T$. The rate ...
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$\mathrm{CO}$ and $\mathrm{H}_2$ participate in a catalytic reaction. The partial pressures (in atm) of the reacting species $\mathrm{CO}$ and $\mathrm{H}_2$ in the feed ...
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Which of the following statements is/are $\text{CORRECT}$? Bond number includes surface tension. Jakob number includes latent heat. Prandtl number includes liquid-vapor d...
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Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a threat to sustained ...
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Inhaling the smoke from a burning ______________ could ____________ you quickly.tire / tiertire / tyretyre / tiretyre / tier
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A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape.What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere?$\fra...
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A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially.What is the minimum number of doors that need ...
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Two large parallel planar walls are maintained at $1000\:K$ and $500\:K$. Parallel radiation shields are to be installed between the two walls. Assume that the emissiviti...
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​​​​​​​Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalitie...
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Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ minutes, respectively. Pipe $\text{R}$ draws the water out from the storage tan...
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Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
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Six persons $\text{P, Q, R, S, T and U}$ are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements:$\text...
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A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest...
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Given below are three statements and four conclusions drawn based on the statements.Statement $1$ : Some engineers are writers.Statement $2$ : No writer is an actor.State...
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A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given column pressure. It $RR_{\text{min}}$...
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A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ strikes a vertical solid plate with a hole of diameter $D_{2} = 1\:cm$, as shown in the figure. A part of ...
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Consider the tank level control system shown in the figure, where the cross-section area of the tank is $A$. Assume perfect flow controllers $\text{(FC)}$. The level cont...
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The area of a circular field is $25\: m^{2}$. The radius, $r$, is to be determined using the Newton-Raphson iterative method. For an initial guess of $r = 2.500\: m$, the...
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A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at $100^{\circ}C$ and leaves as saturated water at $1...
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Choose the option that correctly pairs the given measurement devices with the quantities they measure.$$\begin{array}{ccc} \hline\text{S No} & \text{Measurement Device} &...
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Liquid flowing through a heat exchanger $\text{(HX)}$ is heated. A bypass stream is provided to control the temperature of the heated exit stream. From the given plumbing...
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The appropriate feedforward compensator, $G_{ff}$, in the shown block diagram is$G_{ff} = \dfrac{2}{3}\dfrac{\left ( 8s + 1\right )}{\left ( 5s + 1\right )}$$G_{ff} = -\d...
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$N$ moles of an ideal gas undergo a two-step process as shown in the figure. Let $\text{P, V and T}$ denote the pressure, volume and temperature of the gas, respectively....
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The reaction $A \rightarrow B$ is carried out isothermally on a porous catalyst. The intrinsic reaction rate is $kC_{A}^{2}$, where $k$ is the rate constant and $C_{A}$ i...
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The value of $(1 + i)^{12}$, where $i = \sqrt{-1}$, is$-64i$$64i$$64$$-64$
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Let $f\left ( x \right ) = e ^{-\left |x \right |}$, where $x$ is real. The value of $\dfrac{df}{dx}$ at $x = -1$ is$-e$$e$$\frac{1}{e}$$\frac{-1}{e}$
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The chemical formula of Glauber’s salt, used in the Kraft process, is$Na_{2}CO_{3}.10H_{2}O$$Na_{2}S_{2}O_{4}.2H_{2}O$$Na_{2}HPO_{4}.2H_{2}O$$Na_{2}SO_{4}.10H_{2}O$
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Consider a horizontal rod of radius $aR (a < 1)$ in a stationary pipe of radius $R$. The rod is pulled coaxially at a constant velocity $V$ as shown in the figure. The an...
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Consider turbulent flow in a pipe under isothermal conditions. Let $r$ denote the radial coordinate and $z$ denote the axial flow direction. On moving away from the wall ...
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Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ and the ambient temperature is $T_{a}\:(T_{s} T_{a})$. The wire is to be...
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For a single component system at vapor-liquid equilibrium, the extensive variables $\text{A,V, S and N}$ denote the Helmholtz free energy, volume, entropy, and number of ...
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Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is$(1, 1)$$(1, 2)$$(2, 2)$$(2...
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Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer coefficient ot $S$ in liquid $A$ is twice of ...