Recent questions tagged gate2012

The Newton – Raphson method is used to find the roots of the equation $f(x) = x- \cos\pi x$ $0\le...

If $a$ is a constant, then the value of the integral $a^{2}\int^\infty_0 xe^{-ax}dx$ is$1/a$$a$$1$$0$

The main unit processes used for the production of hydrogen from natural gas are stream reforming $(\text{SR})$, pressure swing adsorption $(\text{PSA})$, low temperature...

The final boiling points of gasonline, diesel, atmospheric gas oil $\text{(AGO)}$ and lubricating oils vary as gasonline>diesel>$\text{AGO}$ lubricating oilslubricating o...

Consider the reaction scheme shown below $$A \xrightarrow {k_1} B \xrightarrow {k_2}C$$Both the reactions are first-order. The activation energie...

The half-life of an $n^{th}$ order reaction in a batch reactor depends ononly the rate constantonly the rate constant and the order of the reactiononly the rate constant ...

For which of the following combinations, does the absorption operation become gas -film controlled?$P$. The solubility of gas in the liquid is very high$Q$. The solubilit...

In the McCabe-Thiele diagram, if the $x$-coordinate of the point of intersection of the $q$-line and the vapor-liquid equilibrium curve is greater then the $x$-coordinate...

In petroleum refining, catalytic reforming is used to convertparaffins and naphthenes to armaticsParaffins to hydrogen and carbon monoxideGas oil to diesel and gasonlineL...

If the Nusselt number $(\text{Nu})$ for heat transfer in a pipe varies with Reynolds number $(Re)$ as $\text{Nu}$ $ {\displaystyle \propto }\; Re^{0.8}$, then for constan...

A solid sphere with an initial temperature $T{_1}$ is immersed in a large thermal reservoir of temperature $T{_0}$. The sphere reaches a steady temperature after a certai...

For heat transfer across a solid-fluid interface, which one of the following statements is $\text{NOT}$ true when the Biot number is very small compared to $1$?Conduction...

In a mixing tank operating at very high Reynolds number($>10^{4}$), if the diameter of the impeller is doubled (other conditions remaining constant), the power required i...

For uniform laminar flow(in the $x$-direction) past a flat plate at high Reynolds number, the local boundary layer thickness ($\delta$) varies with the distance along the...

Water is flowing under laminar conditions in a pipe of length $L$. If the diameter of the pipe is doubled, for a constant volumetric flow rate, the pressure drop across t...

For an exothermic reversible reaction, which one of the following correctly describes the dependence of the equilibrium constant $(K)$ with temperature $(T)$ and pressure...

The local velocity of a fluid along a streamline can be measured byPitot tubeVenturi meterRotameterOrifice meter

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 ...

In a throttling process, the pressure of an ideal gas reduce by $50\%$. If $C{_p}$ and $C{_v}$ are the heat capacities at constant pressure and constant volume, respectiv...

A box containing $10$ identical components has $6$ red balls and $2$ blue balls. If each compartment can hold only one ball, then the number of different possible arrange...

If $a$ and $b$ are arbitrary constants, then the solutions to the ordinary differential equation $\dfrac{d^...

If the temperature of saturated water is increased infinitesimally at constant entropy, the resulting state of water will beLiquidLiquid – vapor coexistenceSaturated vapo...

For the function $f(t) = e^{-t}/\tau$,the Taylor series approximation for $t\ll$$\tau$ is$1+\frac{t}{\tau}$$1-\frac{t}{\tau}$$1-\frac{t^2}{2\tau^2}$$1+t$

Consider the following set of linear algebraic equations $x{_1} + 2x{_2} + 3x{_3} = 2$ ...