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In the given figure, PQRS is a parallelogram with $\mathrm{PS}=7 \mathrm{~cm}, \mathrm{PT}=4 \mathrm{~cm}$ and $\text{PV}=5 \mathrm{~cm}$. What is the length of $\mathrm{...
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Pumps $A$ and $B$ are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the table below. The interest rate is $10 \%$ per a...
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The outlet concentration $C_A$ of a plug flow reactor $\text{(PFR)}$ is controlled by manipulating the inlet concentration $C_{A 0}$. The following transfer function desc...
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Spray dryers have many advantages. Which one of the following is NOT an advantage of a typical spray dryer?Has short drying timeProduces hollow spherical particlesHas hig...
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Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spa...
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A packed distillation column, with vapor having an average molecular weight of $45 \mathrm{~kg} \cdot \mathrm{kmol}^{-1}$, density of $2 \mathrm{~kg} \cdot \mathrm{m}^{-3...
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For a reversible endothermic chemical reaction with constant heat of reaction over the operating temperature range, $K$ is the thermodynamic equilibrium constant. Which o...
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John and Jane independently performed a thermodynamic experiment, in which $\mathbf{X}$ and $\mathbf{Y}$ represent the initial and final thermodynamic states of the syste...
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A liquid $\boldsymbol{L}$ containing a dissolved gas $\boldsymbol{S}$ is stripped in a countercurrent operation using a pure carrier gas $\boldsymbol{V}$. The liquid phas...
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Consider a system where a Carnot engine is operating between a source and a sink. Which of the following statements about this system is/are $\text{NOT}$ correct?This eng...
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The transfer function of a measuring instrument is$$G_m(s)=\frac{1.05}{2 s+1} \exp (-s) .$$At time $t=0$, a step change of $+1$ unit is introduced in the input of this in...
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The enthalpy $\left(H\right.$, in J. $\left.\mathrm{mol}^{-1}\right)$ of a binary liquid system at constant temperature and pressure is given as$$H=40 x_1+60 x_2+x_1 x_2\...
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Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the combustor at $100 \mathrm{~mol} . \mathrm{hr}^{-1}$, of w...
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The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter $0.5 \mathrm{~mm}$ and length $1.5 \mathrm{~m}$. The fluid flow is lamin...
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Partially saturated air at $1 \; \mathrm{bar}$ and $50^{\circ} \mathrm{C}$ is contacted with water in an adiabatic saturator. The air is cooled and humidified to saturati...
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Which one of the following quantities of a flowing fluid is measured using a rotameter?Static pressureDynamic pressureVolumetric flow rateViscosity
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For a packed-bed comprising of uniform-sized spherical particles of diameter $D_{\mathrm{p}}$, the pressure drop across the bed is given by the Kozeny-Carman equation whe...
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An isothermal jacketed continous stirred tank reactor (CSTR) operating at $150^{\circ} \mathrm{C}$ is shown in the figure below. The cold feed entering the system at $30^...
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In a binary gas-liquid system, $N_{A, E M D}$ is the molar flux of a gas $A$ for equimolar counter diffusion with a liquid $B . N_{A, U M D}$ is the molar flux of $A$ for...
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Match the products in Group $1$ with the catalysts in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \qquad \qquad \qquad \qquad \quad \textbf{Group 1}...
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A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature $T_s$ as shown in the figure below. The velocity and temperature of the ...
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The vector $\overrightarrow{\boldsymbol{v}}$ is defined as$$\overrightarrow{\boldsymbol{v}}=z x \hat{\imath}+2 x y \hat{\jmath}+3 y z \hat{k} .$$Which one of the followin...
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A liquid surge tank has $F_{\text {in }}$ and $F_{\text {out }}$ as the inlet and outlet flow rates respectively, as shown in the figure below. $F_{\text {out }}$ is prop...
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Match the products in Group $1$ with the manufacturing processes in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \quad \; \textbf{Group 1} & \; \qqua...
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A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a coolant (see figure below). Oil enters the outer ann...
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Given that$$F=\frac{\left|z_1+z_2\right|}{\left|z_1\right|+\left|z_2\right|},$$where $z_1=2+3 i$ and $z_2=-2+3 i$ with $i=\sqrt{-1}$, which one of the following options i...
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Which one of the following options represents the major components of oleum?Sulfuric acid and nitric acidConcentrated sulfuric acid and petroleum jellySulfuric acid and h...
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Match the quantities in Group $1$ with their units in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \qquad \qquad \qquad \textbf{Group 1} & \textbf{Gr...
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The position $x(t)$ of a particle, at constant $\omega$, is described by the equation$$\frac{d^2 x}{d t^2}=-\omega^2 x.$$The initial conditions are $x(t=0)=1$ and $\left....
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Simpson's one-third rule is used to estimate the definite integral$$I=\int_{-1}^1 \sqrt{\left(1-x^2\right)} d x$$with an interval length of $0.5.$ Which one of the follow...
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For a two-dimensional plane, the unit vectors, $\left(\hat{e}_r, \hat{e}_\theta\right)$ of the polar coordinate system and $(\hat{\imath}, \hat{\jmath})$ of the cartesian...
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An irreversible liquid-phase second-order reaction$$\boldsymbol{A} \stackrel{k}{\longrightarrow} \boldsymbol{B}$$with rate constant $k=0.2$ liter. $\mathrm{mol}^{-1} \mat...
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Nitrile rubber is manufactured via polymerization process. Which one of the following options is the $\text{CORRECT}$ pair of monomers used in this process?Acrylonitrile ...
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A slab of thickness $L$, as shown in the figure below, has cross-sectional area $A$ and constant thermal conductivity $k. T_1$ and $T_2$ are the temperatures at $x=0$ and...
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Given that $E$ (in W. $\mathrm{m}^{-2}$ ) is the total hemispherical emissive power of a surface maintained at a certain temperature, which of the following statements is...
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Orsat analysis showing the composition (in $\text{mol} \%,$ on a dry basis) of a stack gas is given in the table below. The humidity measurement reveals that the mole fra...
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A large tank is filled with water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height of $5 \mathrm{~m}$. A $100 ~ \mu \mathrm{m}$ diameter solid spherical p...
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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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A design engineer needs to purchase a membrane module $(\mathrm{M})$ for a plant. Details about the two available options, $\text{M1}$ and $\text{M2,}$ are given in the t...
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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...