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A gaseous mixture at $1$ bar and $300 \: K$ consists of $20 \text{ mol } \% \: CO_2$ and $80 \text{ mol } \%$ inert gas.Assume the gases to be ideal. Take $R=8.314 \text{...
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Operating labor requirements $L$ in the chemical process industry is described in terms of the plant capacity $C ( \text{kg day}^{-1})$ over a wide range $(10^3-10^6)$ by...
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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 liquid mixture of ethanol and water is flowing as inlet stream $P$ into a stream splitter. It is split into two streams, $Q$ and $R$, as shown in the figure below.The f...
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Match the dimensionless numbers in $Group–I$ with the ratios in $Group–2$.$\begin{array}{cc}\\&\text{Group-1} & \text{Group-2} \\ &\text{P. Biot number} & \text{ I. ...
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An agitated cylinder vessel is fitted with baffles and flat blade impellers. The power number for this system is given by $N_{p}=\frac{P}{\rho n^{3}D^{5}}$ where $P$ is t...
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The characteristics curve (Head-Capacity relationship) of a centrifugal pimp is represented by the equation $\Delta H_{pump}=43.8-0.19Q$, where $\Delta H_{pump}$ is the h...
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For a unit step input, the response of a second order system is$$y\left ( t \right )=K_{p} \left [ 1-\frac{1}{\sqrt{1-\zeta ^{2}}} e^{\frac{\zeta t}{\tau }}\sin\left ( \f...
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For a gas phase cracking reaction $A{\rightarrow}B+C$ at $300^{\circ}$, the Gibbs free energy of the reaction at this temperature is $\Delta G^{\circ}=-2750$ $J$/mol. The...
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Two elemental gases ($A$ and $B$) are reacting to form a liquid ($C$) in a steady state process as per the reaction $A+B{\rightarrow}C$. The single-pass conversion of the...
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Catalytic cracking isa hydrogen addition processa carbon rejection processan exothermic processa coking process
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Assuming the mass transfer coefficient in the gas and the liquid phases are comparable, the absorption of $CO_{2}$ from reformers gas $(CO_{2}+H_{2})$ into an aqueous sol...
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From the following list, identify the properties which are equal in both vapour and liquid phases at equilibriumDensityTemperatureChemical potentialEnthalpy$P$ and $Q$ on...
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In a double pipe counter-current heat exchanger, the temperature profiles shown in the figure were observed. During operation, due to fouling inside the pipe, the heat tr...
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If the temperature of saturated water is increased infinitesimally at constant entropy, the resulting state of water will beLiquidLiquid – vapor coexistenceSaturated va...
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In a parallel flow heat exchanger operating under steady state, hot liquid enters at a temperature $T_{h,in}$ and leaves at a temperature $T_{h,out}$. Cold liquid enters ...
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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}$...
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​​​Alumina particles with an initial moisture content of $5 \mathrm{~kg}$ per $\mathrm{kg}$ dry solid are dried in a batch dryer. For the first two hours, the measu...
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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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The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ at the point $(1, 1, 1)$ in the direction of the vector $\vec{v} = \hat{i} - \hat{k}$ is _...
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A double-effect evaporator is used to concentrate a solution. Steam is sent to the first effect at $110\:^{\circ} C$ and the boiling point of the solution in the second e...
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Pure gas $\textbf{P}$ is being absorbed into a liquid. The dissolved $\textbf{P}$ undergoes an irreversible reaction in the liquid film. The reaction is first order with ...
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The operating temperature range for the Haber process is $350-500^{\circ}C$. It is used for the production of ammonia at$20 \:MPa$ using $Fe$ catalyst in an exothermic re...
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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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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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In a cyclone separator used for separation of solid particles from a dust laden gas, the separation factor is defined as the ratio of the centrifugal force to the gravita...
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Standard pipes of different schedule numbers and standard tubes of different $BWG$ numbers are available in the market. For a pipe/tube of a given nominal diameter, which...
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For uniform laminar flow over a flat plate, the thickness of the boundary layer, $\delta$ at a distance $x$ from the leading edge of the plate follows the reaction :$\del...
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The diameters of sand particles in a sample range from $50$ to $150$ microns. The number of particles of diameter x in the sample is proportional to $\frac{1}{50+x}$. The...
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For Fanning friction factor $f$ (for flow in pipes) and drag coefficient $C_{D}$ (for flow over immersed bodies), which of the following statements are true?$P.$ $f$ acco...
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Consider two steady isothermal flow configurations shown schematically as Case $I$ and Case $II$ below. In Case $I$, a $CSTR$ of volume $V_{1}$ is followed by a $PFR$ of ...
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The vapor liquid equilibrium relation for an ideal binary system is given by y*${_A}$ = $\frac{\alpha{_A}{_B}x{_A}}{...
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A crosscurrent cascade of N ideal stages is used to treat a feed stream of molar flow rate E. The feed stream contains a solute which is to be recovered by a pure solvent...
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The effectiveness of a heat exchanger in the $\varepsilon$-NTU method is defined as$\frac{increase\ in temperature\ of\ the\ cold\ fluid}{decrease\ in\ temperature\ of\ t...
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The apparent viscosity of a fluid is given by0.007 |$\frac{dv}{dy}$|$^{0.3}$ where ($\frac{dv}{dy}$) is the velocity gradient. The fluid isBingham plasticdilatantpseudopl...
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An equimolar mixture of $A$ and $B$ (A being more volatile) is flash distilled continuously at a feed rate of $100 \text{ kmol/h}$, such that the liquid product contains ...
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The molecular formula of the predominant chemical compound in commercial sugar is$C_{12}H_{22}O_{11}$$C_{12}H_{24}O_{12}$$C_{6}H_{10}O_{5}$$C_{6}H_{12}O_{6}$
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A metallic spherical particle of density $7001 \mathrm{~kg} \mathrm{~m}^{-3}$ and diameter $1 \mathrm{~mm}$ is settling steadily due to gravity in a stagnant gas of densi...
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Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge of the plate, then the local he...
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Which of the following is $\text{NOT}$ a necessary condition for a process under closed-loop control to be stable?Dead-time term(s) must be absent in the open-loop transf...