Recent questions tagged gatech-2026

Consider the following curve in polar coordinates.\[r=2-2 \sin \theta\]Which one of the following is the area enclosed by the curve for $0 \leq \theta \leq 2 \pi$?$3 \pi$...

Consider the following homogeneous isothermal liquid-phase parallel reactions carried out in three reactor configurations (having identical volumes and same operating tem...

The reaction rate constants of two reactions follow Arrhenius' law. The activation energies of Reaction $1$ and Reaction $2$ are $E_{1}$ and $E_{2}$, respectively and $E_...

A control valve with hyperbolic characteristics has a turndown ratio (ratio of maximum flow to minimum controllable flow) of $50$. The flow rate through the valve at $70 ...

The gross energy requirement, to reduce a very large feed of coal to such a size that $80 \%$ of the product passes through a $100 ~\mu \mathrm{m}$ screen, is $13 \text{k...

In a certain project, $15 \%$ of the total investment is the working capital. The minimum acceptable rate of return is $4.95 \%$ and the period of evaluation is $15$ year...

A continuous distillation column is used to separate an equimolar mixture of diethylamine (DEA) and methanol. The feed enters the column as saturated liquid at a flow rat...

A gas stream with $2.01 \mathrm{~mol} \%$ ammonia is to be scrubbed in a counter-current isothermal packed bed absorber using pure water to reduce its concentration to $0...

Laboratory filtration is conducted at constant pressure drop of $200 \text{ kPa}$ on a slurry of $\mathrm{CaCO}_{3}$ in water at room temperature. The time taken to colle...

Consider three identical non-interacting first order processes in series, each having unit gain and a time constant of $2$ min. Tuning of proportional controller using cl...

A thermometer initially at a steady temperature of $30^{\circ} \mathrm{C}$ is inserted in a water bath maintained at $90^{\circ} \mathrm{C}$. The initial rate of temperat...

In a double pipe cocurrent heat exchanger, operating at steady state, oil (specific heat capacity $=2100 \mathrm{~J} \mathrm{~kg}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ ) enter...

A pipe with outer diameter of $0.02 \text{ m},$ carries hot water. The temperature at the outer surface of the pipe is $70^{\circ} \mathrm{C}$. This pipe is covered with ...

Methanol is formed by the following gas phase homogeneous reaction:\[\mathrm{CO}(\mathrm{~g})+2 \mathrm{H}_{2}(\mathrm{~g}) \leftrightharpoons \mathrm{CH}_{3} \mathrm{OH}...

A first-order homogeneous liquid-phase reaction ( $\mathrm{A} \rightarrow \mathrm{B}$ ) occurs in an adiabatic, ideal mixed flow reactor operating at steady state. The vo...

A first-order homogeneous liquid-phase reaction ( $\mathrm{A} \rightarrow \mathrm{B}$ ) occurs in a non-ideal isothermal reactor operating at steady state. The variance (...

A feed containing $10 \mathrm{~mol} \%$ propylene, $15 \mathrm{~mol} \%$ ammonia and rest air is charged into a reactor to produce acrylonitrile $\left(\mathrm{C}_{3} \ma...

A gas mixture of $50 \mathrm{wt} . \%$ argon and $50 \mathrm{wt} . \%$ helium flowing through a horizontal tube of uniform diameter at a rate of $1 \mathrm{~kg} \mathrm{~...

When a cylindrical capillary glass tube, open at both ends, is vertically inserted in a pool of water, the water level in the tube rises to $7 \mathrm{~cm}$ relative to t...

Consider a two-dimensional, steady, laminar flow of an incompressible fluid with zero pressure gradient, over a thin horizontal flat plate of length $2 \text{ m}$. The fr...

The flooding velocity curves for two different structured packings are shown in the figure. The ratio of mass velocities of liquid $\left(G_{x}\right)$ to that of the gas...

Consider a differential equation:\[\begin{array}{c}x^{2} \dfrac{d^{2} y}{d x^{2}}+3 x \dfrac{d y}{d x}-3 y=0 \\\left.\begin{array}{r}y=3 \\\dfrac{d y}{d x}=-5\end{array}\...

The data given in the table are fitted to the equation $y=m x$ using the method of least squares. The value of $m$ is $\_\_\_\_$ (rounded off to one decimal place).\[\beg...

Cyclohexane $\left(\mathrm{C}_{6} \mathrm{H}_{12}\right)$ is produced from benzene $\left(\mathrm{C}_{6} \mathrm{H}_{6}\right)$ and hydrogen $\left(\mathrm{H}_{2}\right)$...

The velocity profile for a fully developed laminar flow of an incompressible Newtonian fluid, at steady state, through a horizontal infinitely wide and long slit of gap $...