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A gas bubble (gas density $\rho_{g} =2\:kg/m^{3}$ ; bubble diameter $D=10^{-4}\:m$ is rising vertically through water (density $\rho =1000\:kg/m^{3}$; viscosity $\mu =0.0...
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The one-dimensional unsteady heat conduction equation is $$\rho C_{p}\frac{\partial T}{\partial t}=\frac{1}{r^{n}}\frac{\partial }{\partial r}\left ( r^{n}k\frac{\partial...
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In a heat exchanger, the inner diameter of a tube is $25\:mm$ and its outer diameter is $30\:mm$. The overall heat transfer coefficient based on the inner area is $360\:W...
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Which of the following conditions are valid at the plait point?Density difference between the extract and raffinate phases is zeroInterfacial tension between the extract...
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The composition of vapour entering a tray in a distillation column is $0.47$. The average composition of the vapour leaving the tray is $0.53$. The equilibrium compositio...
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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 following reaction rate curve is shown for a reaction $A{\rightarrow}P$. Here, $(-r_{A})$ and $X_{A}$ represent reaction rate and conversion, respectively. The feed i...
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Consider a first order catalytic reaction in a porous catalyst pellet.Given $R$ – characteristics length of the pellet; $D_{e}$ – effective diffusivity; $k_{c}$ – m...
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For a solid-catalyzed gas phase reversible reaction, which of the following statements is ALWAYS TRUE?Adsorption is rate-limitingDesorption is rate-limitingsolid catalyst...
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Match the variable in Group-$1$ with the instruments in Group-$2$.$\begin{array}{cc}\&\text{Group-$1$} & \text{Group-$2$} \\ &\text{P. Temperature} & \text{ I. Capacitanc...
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An $LVDT$ (Linear Variable Differential Transformation) is a transducer used for convertingdisplacement to voltagevoltage to displacementresistance to voltagevoltage to c...
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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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The $DCDA$ (Double Contact Double Absorption) process is used for the manufacture of ureasulphuric acidnitric acidammonia
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Match the polymerization precesses in Group-$1$ with the polymers in Group-$2$.$\begin{array}{cc}\&\text{Group-1} & \text{Group-2} \\ &\text{P. Free radical polymerizatio...
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The purpose of methanation reaction used in ammonia plants is toremove $CO$ as it is catalyst poisonincrease the amount of hydrogenremove sulphur as it is a catalyst pois...
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Match the problem type in Group-$1$ with the numerical method in Group-$2$.$\begin{array}{cc}\&\text{Group-$1$} & \text{Group-$2$} \\ &\text{P. System of linear algebraic...
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An aqueous salt-solution enters a crystallizer operating at steady state at $25^{\circ}C$. The feed temperature is $90^{\circ}C$ and the salt concentration in the feet is...
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Reaction $A{\rightarrow}B$ is carried out in a reactor operating at steady state and $1$ mol/$s$ of pure $A$ at $425^{\circ}C$ enters the reactor. The outlet stream leave...
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The pressure of a liquid is increased isothermally. The molar volume of the liquid decreases from $50.45\times 10^{-6}$ $m^{3}$/mol to $48\times 10^{-6}$ $m^{3}$/mol duri...
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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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The vapour pressure of a pure substance at a temperature $T$ is $30$ bar. The actual and ideal gas values of $g/RT$ for the saturated vapour at this temperature $T$ and $...
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Oil is being delivered at a steady flowrate through a circular pipe of radius $1.25\times10^{-2}\:m$ and $10\:m$. The pressure drop across the pipe is $500\:Pa$.The shear...
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The following table provides four sets of Fanning friction factor data, for different values of Reynolds number $(Re)$ and roughness factor $\left ( \frac{k}{D} \right )....
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A propeller (diameter $D=15\:m$) rotates at $N=1$ revolution per second $(rps)$. To understand the flow around the propeller, a lab-scale model is made. Important paramet...
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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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Let $I_{b\lambda }$ be the spectral blackbody radiation intensity per unit wavelength about the wavelength $\lambda$ . The blackbody radiation intensity emitted by a blac...
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A fluid flows over a heated horizontal plate maintain at temperature $T_{W}$. The bulk temperature of the fluid is $T_{\infty }$ . The temperature profile in the thermal...
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In nucleate boiling, the pressure inside a bubble is higher than the pressure of the surrounding liquid. Assuming that both the liquid and vapour are saturated, the tempe...
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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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The Sherwood number $(Sh_{L})$ correlation for laminar flow over a flat plate of length $L$ is given by$$Sh_{L}=0.664\:Re_{L}^{-0.5}\:Sc^{1/3}$$where $Re_{L}$ and $Sc$ re...
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In a countercurrent stripping operation using pure steam, the mole ratio of a solute in the liquid stream is reduced from $0.25$ to $0.05$. The liquid feed flowrate, on a...
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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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The $C$-curve measured during a pulse tracer experiment is shown below. In the figure, $C(t)$ is the concentration of the tracer measured at the reactor exit in mol/liter...
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The following liquid phase second-order reaction is carried out in an isothermal $CSTR$ steady steady$$A{\rightarrow}R\:\:\:\:\:(-r_{A})=0.005C_{A}^{2}\:mol/m^{3}.hr$$whe...
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The reversible reaction of $t$-butyl alcohol $(TBA)$ and ethanol $(EtOH)$ to ethyl $t$-butyl ether $(ETBE)$ is$$TBA+Et0H\rightleftharpoons ETBE+water$$The equilibrium con...
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The following gas-phase reaction is carried out in a constant-volume isothermal batch reactor$$A+B{\rightarrow}R+S$$The reactants $A$ and $B$ as well as the product $S$ a...
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The transfer function of a system is$$\frac{1}{4s^{2}+1.2s+1}$$For a unit step increase in the input, the fractional overshoot, rounded to $2$ decimal place, is _________...
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The open loop transfer function of a process with a proportional controller (gain $K_{C}$) is$$G_{OL}=K_{C}\frac{e^{-2s}}{s}$$Based on the Bode criterion for closed-loop ...
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The characteristics equation of a closed-loop system is$$6s^{3}+11s^{2}+6s+\left ( 1+K \right )=0,\:\:\:\:\:\: where \:K>0$$The value of $K$ beyond which the system just ...
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A bond has a maturity value of $20,000$ Rupees at the end of $4$ years. The interest is compounded at the rate of $5\%$ per year.The initial investment to be made, rounde...