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GATE Chemical 2012 | Question: 24
A thermometer initially at $100^{ \circ}C$ is dipped at $t = 0$ into an oil bath, maintained at $150^{\circ}C$. If the recorded temperature is $130^{\circ}C$ after $1$ mi...
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GATE Chemical 2012 | Question: 25
The Bode stability criterion is applicable whenGain and phase curves decrease continuously with frequencyGain curve increase and phase curve decreases with frequencyGain ...
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GATE Chemical 2012 | Question: 23
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...
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GATE Chemical 2012 | Question: 22
The final boiling points of gasonline, diesel, atmospheric gas oil $\text{(AGO)}$ and lubricating oils vary as gasonline>diesel>$\text{AGO}$ lubricating oilslubricating o...
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GATE Chemical 2012 | Question: 20
Consider the reaction scheme shown below $$A \xrightarrow {k_1} B \xrightarrow {k_2}C$$Both the reactions are first-order. The activation energie...
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GATE Chemical 2012 | Question: 19
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 ...
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GATE Chemical 2012 | Question: 18
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...
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GATE Chemical 2012 | Question: 17
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...
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GATE Chemical 2012 | Question: 21
In petroleum refining, catalytic reforming is used to convertparaffins and naphthenes to armaticsParaffins to hydrogen and carbon monoxideGas oil to diesel and gasonlineL...
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GATE Chemical 2012 | Question: 16
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...
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GATE Chemical 2012 | Question: 15
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...
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GATE Chemical 2012 | Question: 14
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...
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GATE Chemical 2012 | Question: 13
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...
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GATE Chemical 2012 | Question: 12
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...
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GATE Chemical 2012 | Question: 10
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...
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GATE Chemical 2012 | Question: 9
For an exothermic reversible reaction, which one of the following correctly describes the dependence of the equilibrium constant $(K)$ with temperature $(T)$ and pressure...
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GATE Chemical 2012 | Question: 11
The local velocity of a fluid along a streamline can be measured byPitot tubeVenturi meterRotameterOrifice meter
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GATE Chemical 2012 | Question: 8
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 ...
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GATE Chemical 2012 | Question: 6
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...
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GATE Chemical 2012 | Question: 5
Consider the following $(2\times2)$ matrix $\left( \begin{array}{c} 4 & 0 \\ 0 & 4 \end{array} \right)$Whi...
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Linear Algebra
gate2012
linear-algebra
matrices
eigen-values
eigen-vectors
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GATE Chemical 2012 | Question: 4
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...
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GATE Chemical 2012 | Question: 3
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$
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Calculus
gate2012
calculus
taylor-series
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GATE Chemical 2012 | Question: 2
If $a$ and $b$ are arbitrary constants, then the solutions to the ordinary differential equation $\dfrac{d^...
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Differential equations
gate2012
differential-equations
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GATE Chemical 2012 | Question: 7
If the temperature of saturated water is increased infinitesimally at constant entropy, the resulting state of water will beLiquidLiquid – vapor coexistenceSaturated va...
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GATE Chemical 2012 | Question: 1
Consider the following set of linear algebraic equations $x{_1} + 2x{_2} + 3x{_3} = 2$ ...
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Linear Algebra
gate2012
linear-algebra
matrices
system-of-equations
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