Recent questions tagged gatech-2021

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It is required to control the volume of the contents in the jacketed reactor shown in the figure.Which one of the following schemes can be used for feedback control?Measu...
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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...
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Match the reaction in $\textbf{Group – 1}$ with the reaction type in $\textbf{Group – 2}$.$\begin{array}{|c|l|c|l|} \hline & \textbf{Group – 1} && \textbf{Group –...
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To solve an algebraic equation $f(x)=0$, an iterative scehme of the type $x_{n+1} = g(x_n)$ is proposed, where $g(x)=x-\dfrac{f(x)}{f’(x)}$.At the solution $x=s,\: g’...
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The probability distribution function of a random variable $X$ is shown in the following figure.From this distribution, random samples with sample size $n=68$ are taken. ...
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For the ordinary differential equation $$\dfrac{d^3y}{dt^3}+6 \dfrac{d^2y}{dt^2}+11 \dfrac{dy}{dt}+6y=1$$ with initial conditions $y(0)=y’(0) = y’’(0)=y’’’(0)...
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Formaldehyde is produced by the oxidation of methane in a reactor. The following two parallel reactions occur.$$CH_4+O_2 \rightarrow HCHO+H_2O \\ CH_4 +2O_2 \rightarrow C...
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The combustion of carbon monoxide is carried out in a closed, rigid and insulated vessel. $1 \text{ mol}$ of $CO$, $0.5 \text{ mol}$ of $O_2$ and $2 \text{ mol}$ of $N_2$...
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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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A binary liquid mixture consists of two species $1$ and $2$. Let $\gamma$ and $x$ represent the activity coefficient and the mole fraction of the species, respectively. U...
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Consider a tank filled with $3$ immiscible liquid $A$, $B$ and $C$ at static equilibrium, as shown in the figure. At $2 \: cm$ below the liquid $A$- liquid $B$ interface,...
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Seawater is passed through a column containing a bed of resin beads.Density of seawater $=1025 \: \text{ kg m}^{-3}$Density of resin beads $=1330 \text{ kg m}^{-3}$Diame...
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A straight fin of uniform circular cross section and adiabatic tip has an aspect ratio (length/diameter) of $4$. If the Biot number (based on the radius of the fin as the...
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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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Consider a solid slab of thickness $2L$ and uniform cross section $A$. The volumetric rate of heat generation within the slab is $\dot{g} \: (W \: m^{-3})$. The slab lose...
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A distillation column handling a binary mixture of $A$ and $B$ is operating at total reflux. It has two ideal stages including the reboiler. The mole fraction of the more...
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In a batch drying experiment, a solid with a critical moisture content of $0.2 \: kg$ $H_2O/kg$ dry solid is dried from an initial moisture content of $0.35 \: kg$ $H_2O/...
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As shown in the figure below, air flows in parallel to a freshly painted solid surface of width $10 \: m$, along the $z$-direction.The equilibrium vapor concentration of ...
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The following isothermal autocatalytic reaction $$ A +B \longrightarrow 2B \quad\quad\quad(-r_A)=0.1C_AC_B(\text{mol } L^{-1} s^{-1})$$is carried out in an ideal continuo...
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Reactant $A$ decomposes to products $B$ and $C$ in the presence of an enzyme in a well-stirred batch reactor. The kinetic rate expression is given by$$-r_A = \dfrac{0.01C...
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The following homogeneous, irreversible reaction involving ideal gases, $$A \longrightarrow B+C \quad\quad\quad(-r_A)=0.5C_A (\text{mol L}^{-1} s^{-1})$$ is carried out i...
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A system has a transfer function $G(s)= \dfrac{3e^{-4s}}{12s+1}$. When a step change of magnitude $M$ is given to the system input, the final value of the system output i...
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A person has a transfer function $G(s)= \dfrac{Y(s)}{X(s)} = \dfrac{20}{90000s^2+240s+1}$. Initially the process is at steady state with $x(t=0)=0.4$ and $y(t=0)=100$. If...
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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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A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of pipe is given by $$C_{\text{pump}} = \dfrac{48.13\: q^2 ...