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A centrifugal pump is used to pump water (density $1000$ $kg/m^{3}$) from an inlet pressure of $10^{5}$ $Pa$ to an exit pressure of $2 \times 10^{5}$ $Pa$. The exit is at...
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For the closed loop system shown in figure, the phase margin (in degrees) is ____________ (rounded off to one decimal place).
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The cost of a new pump (including installation) is $24,000$ Rupees. The pump has a useful life of $10$ years. Its salvage value is $4000$ Rupees. Assuming straight line d...
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Steam at $100^{\circ}C$ is condensing on a vertical steel plate. The condensate flow is laminar. The average Nusselt numbers are $Nu_{1}$ and $Nu_{2}$, When the plate tem...
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A $CSTR$ has a long inlet pipe. A tracer is injected at the entrance of the pipe. The $E$-curve obtained at the exit of the $CSTR$ is shown in the figure below.Assuming p...
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For a pure liquid, the rate of change of vapour pressure with temperature is $0.1$ bar/$K$ in the temperature range of $300$ to $350\:K$. If the boiling point of the liqu...
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Consider a control system with the open loop transfer function given by :$G_{OL}\left ( s \right )=\frac{K_{c}e^{-0.3z}}{1.5s+1}$In the above function, pre-factor of $s$ ...
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Match the following$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Turbulence} & \text{I. Reciprocating pump}\\&\text{Q. $NPSH$} & \text{II. Packed be...
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Given below is a simplified block diagram of a feedforward control system.The transfer function of the process is $G_{p}=\frac{5}{s+1}$ and the disturbance transfer funct...
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A polymer plant with a production capacity of $10,000$ tons per year has an overall yield of $70\%$, on mass basis ($kg$ of product per $kg$ of raw material), The raw mat...
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The purchase cost of a heat exchanger of 20 m$^{2}$ area was Rs 500000 in 2006. What will be the estimated cost (in Rs to the nearest integer) of a similar heat exchanger...
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The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are $r_A$$_1$ and $r_A$$_2$ (in mol (kg-catalyst)$^{-1...
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A gaseous system contains H${_2}$,I${_2}$ and HI, which participate in the gas-phase reaction 2H...
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In a counter-flow double pipe heat exchanger, oil ($\dot m = 2 \text{ kg/s}, C_p= 2.1 \text{ kJ/kg}.\:^{\circ} C$) is cooled from $90^{\circ}C$ to $40^{\circ} C$ by water...
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Critical speed of a ball mill depends onthe radius of the mill (shell) and the radius of the particlesthe radius of the mill (shell) and the density of the particlesthe r...
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​​​​​​For the block diagram shown in the figure, the correct expression for the transfer function $G_{d}=\frac{y_{1}(s)}{d(s)}$ is$\frac{-G_{p 1} G_{c 2}}{\le...
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Consider steady state mass transfer of a solute $A$ from a gas phase to a liquid phase. The gas phase bilk and interface mole fractions are $y_{A,G}$ and $y_{A,i}$, respe...
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The vapour phase composition and relative volatilities (with respect to $n$-propane) on an ideal tray of a distillation column are$$\begin{array}{clcIcIcI|cI|c}\hline&\te...
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In a batch absorption process, $5\:g$ of fresh absorbent is used to treat $1$ liter of an aqueous phenol solution. The initial phenol concentration is $100\:mg$/liter. Th...
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Hydrogen iodide decomposes through the reaction $2HI\leftrightharpoons H_{_{2}}+I_{2}$. The value of the universal gas constant $R$ is $8.314 \:J\:mol^{-1}K^{-1}$. The ac...
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Two design options for a distillation system are being compared based on the total annual cost. Information available is as follows:$$\begin{array}{clcIcIcI|cI|c}\hline&...
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A gas obeying the Clausius equation of state is isothermally compressed from $5\:Mpa$ to $15\:MPa$ in a closed system at $400\:K$. The Clausius equation of state is $P=\f...
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A cylindrical packed bed of height $1\:m$ is filled with equal sized spherical particles. The particles are nonporous and have a density of $1500$ kg/$m^{3}$. The void fr...
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A typical batch filtration cycle consists of filtration followed by washing. One such filtration unit operating at constant pressure difference first filters a slurry dur...
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Consider the following block diagram for a closed-loop feedback control system A proportional controller is being used with $K_{c}=-4$. If a step change in distrubance of...
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The vessel dispersion number for an ideal $CSTR$ is $-1$$0$$1$$\infty$
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A control value, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the value at 40% stem positions is 1 m$^{3}$/h. ...
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In a throttling process, the pressure of an ideal gas reduce by $50\%$. If $C{_p}$ and $C{_v}$ are the heat capacities at constant pressure and constant volume, respectiv...
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The elementary second-order liquid phase reaction $A+B{\rightarrow}C+D$ is carried out in an isothermal plug flow reactor of $2\:m^{3}$ volume. The inlet volumetric flow ...
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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...
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Consider the line integral $\int_{C} \boldsymbol{F}(\boldsymbol{r}) \cdot d \boldsymbol{r}$, with $\boldsymbol{F}(\boldsymbol{r})=x \hat{\boldsymbol{\imath}}+y \hat{\bold...
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Consider a sphere of radius $4$, centered at the origin, with outward unit normal $\hat{n}$ on its surface $S$. The value of the surface integral $\iint _{s} \left ( \dfr...
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The following homogeneous liquid phase reactions are at equilibrium,The values of rate constants are given by: $k_1 = 0.1 s^{-1}$, $k_{-1}=0.2 s^{-1}, k_2 = 1 s^{-1}, k_{...
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A fluid is heated from $40^{\circ}C$ to $60^{\circ} C$ in a countercurrent, double pipe heat exchanger. Hot fluid enters at $100^{\circ}C$ and exits at $70^{\circ}C$. The...
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A countercurrent absorption tower is designed to remove $95\%$ of component $A$ from an incoming binary gas mixture using pure solvent $B$. The mole ratio of $A$ in the i...
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A sparingly soluble gas (solute) is in equilibrium with a solvent at $10$ bar. The mole fraction of the solvent in the gas phase is $0.01$. At the operating temperature a...
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Size analysis was carried out on a sample of gravel. The data for mass fraction $(x_{i})$ and average particle diameter $(D_{pi})$ of the fraction is given in the table b...
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An ideal gas is adiabatically and irreversibly compressed from $3$ bar and $300\:K$ to $6$ bar in a closed system. The work required for the irreversible compression is $...
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Water (density=$1000\:kg\:m^{-3}$) is pumped at a rate of $36\:m^{3}/h$, from a tank $2\:m$ below the pump, to an overhead pressurized vessel $10\:m$ above the pump. The ...
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Water flows through a smooth circular pipe under turbulent conditions. In the viscous sub-layer, the velocity varies linearly with the distance from the wall. The Fanning...