Recent questions tagged gate2018

A hot liquid is to be cooled in a $1-1$ shell and tube heat exchanger from $80^{\circ}C$ to $50^{\circ}C$. Cooling water enters the tube side at $30^{\circ}C$, and exits ...

In a roll crusher, rolls of diameter $1$ $m$ each are set in such a manner that minimum clearance between the crushing surfaces is $15$ $mm$. If the angle of nip is $31^{...

Hydrogenation of benzene is to be carried out using $Ni$ (density = $8910$ $kg/m^{3}$) as catalyst, cast in the from of non-porous hollow cylinders, as shown below. The r...

A set of standard stainless steel pipes, each of internal diameter $26.65\:mm$ and $6000\:mm$ length, is used to make a plug flow reactor by joining them in series to car...

In a closed piston-cylinder system, methane was observed to obey the following equation of state$$P\left ( V-nb \right )=nRT$$where $b=0.029\:m^{3}$/mol. The temperature ...

The volume of liquid filled in a spherical storage tank of radius $R$ is computed from height of liquid, $h$, in the outside tube (neglecting the volume of liquid in the ...

For a closed-loop system, consider the following transfer functions:process $G_{p}\left ( s \right )$, controller $G_{c}\left ( s \right )$, measuring device $G_{m}\left ...

Consider the following transfer function:$$G\left ( s \right )=\frac{3}{\left ( 5s+1 \right )^{2}}$$where, the natural period of oscillation is in min. The amplitude rati...

A fiberboard sheet $\left ( 1.5\:m\times 2.0\:m\times 15\:mm \right )$ is being dried by suspending it horizontally in a current of hot, dry air. The edges are insulted s...

An azeotropic mixture of ethanol and water is to be separated in a distillation column using benzene as an entrainer. At the column operating conditions, two liquid phase...

A binary distillation column is designed by McCabe-Thiele method to get a distillate mole fraction of $0.9$. The enriching section operating line has an intercept with $y...

It is decided to extract $A$ from a feed containing $20$ mol$\%$ $A$ and $80$ mol$\%$ $B$ in two ideal cross-current stages as shown below, using equal amount of pure sol...

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 ...

A $CSTR$ and a $PFR$ of equal volume are connected in series as shown below to carry out a first-order, isothermal, liquid phase reaction$$A{\rightarrow}P$$The rate const...

At a shear rate of $10\:s^{-1}$, the apparent viscosity of a non-Newtonian liquid was found to be $1\: Pa\:s$. At a shear rate of $100\:s^{-1}$, the apparent viscosity of...

Under isothermal condition, a vertical tube of length $L=100\:m$ contains a gas of molecular weight equal to $60$. The pressure and temperature at the top of the tube are...

Vapour bubbles are formed in the nucleate boiling regime at a frequency of $10$ bubbles per second per nucleation site. There are $100$ nucleation sites per $m^{2}$ of he...

The wall of a pipe of radius $1\:m$ is at a uniform temperature of $200\:^{\circ}C$, and is covered by insulation of thickness $0.1\:m$. The ambient air outside the ins...

An insulted storage tank contains $1000\:kg$ liquid of specific heat $10\:kJ\:kg^{-1}\:K^{-1}$. The liquid is heated by saturated steam, condensing in a helical coil at a...

In a laboratory batch setup, reaction of $P$ over a catalyst was studied at various temperature. The reactions occurring are$$P\rightarrow 2Q\:;\:P\rightarrow R$$At the e...

In the year $2005$, the cost of a shell and tube heat exchanger with $68\:m^{2}$ heat transfer area was $Rs.\:12.6$ Lakh. Chemical Engineering Index for cost in $2005$ wa...

A person is drowning in sea at location $R$ and the lifeguard is standing at location $P$. The beach boundary is straight and horizontal, as shown in the figure.The lifeg...

Match the items in Column $A$ with the items in Column $B$$\begin{array}{|cl|cI|}\hline&\text{$Column\:A$} & \text{$Column\:A$} \\ \hline &\text{P. Pure dead-time} & \te...

A furnace installed at a cost of $Rs.\:24$ Lakh is expected to serve its useful life of $5$ years. Salvage value of the furnace is $Rs.\:8$ Lakh. The interest rate compou...

$G$ denotes the Gibbs free energy of a binary mixture, $n_{T}$ denotes the total number of moles present in the system, $\mu _{i}$ is the chemical potential of the $i^{th...

The decay ratio for a system having complex conjugate poles as $\left ( -\frac{1}{10}+j\frac{2}{15} \right )$ and $\left ( -\frac{1}{10}-j\frac{2}{15} \right )$ is $7\ti...

The inital water level in a tank is $4\:m$. When the value located at the bottom is opened, the rate of change of water level ($L$) with respect to time ($t$) is, $\frac{...

The ammonia ($NH_{3}$) oxidation process occurs over a catalyst as$$4NH_{3}+5O_{2}\rightarrow 6H_{2}O+4NO$$Air is supplied such that oxygen ($O_{2}$) is $20\%$ in excess ...

A venturi meter is installed to measure the flow rate of water in a $178\:mm$ diameter ($ID$) pipe. The throat diameter is $102\:mm$. The differential pressure measured u...

Match the equipment in Column $A$ with the corresponding process in Column $B$$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&\text{$Column\:A$} & \text{$Column\:B$} \\ \hline ...

According to the surface renewal theory, the unit of fractional rate of surface renewal ism$^{2}$ s$^{-2}$m$^{2}$ s$^{-1}$m s$^{-1}$$s^{-1}$

A first-order process having a transfer function, $G_{p}=\frac{2}{7s+1}$ is controlled by a proportional controller with gain of $3.2$. The process time constant is in mi...

Pitot tube is used to measureliquid level in a tankflow velocity at a pointangular deformationvorticity

For a chemical reaction, the ratio of rate constant at $500\:K$ to that at $400\:K$ is $2.5$. Given $R=8.314\:J$ mol$^{-1}$ $K^{-1}$, the value of activation energy (in $...

For absorption of $H_{2}S$ from a mixture with hydrocarbon vapour into an aqueous alkanolamine solution, the liquid phase mass transfer resistance issignificantly higher ...

In connection with petroleum refining, identify the incorrect statement among the following options.Desalting of crude oil is done before processing it in atmospheric dis...

Two packed towers are designed for the same mass velocity of the gas. The first has liquid and gas flow rates of $30\:kg/s$ and $1.2\:kg/s$, respectively, while the corre...