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GATE CH 2022 | Question: 16
The reaction $A \rightarrow B$ is carried out isothermally on a porous catalyst. The intrinsic reaction rate is $kC_{A}^{2}$ ... is $1$ $2$ $\frac{3}{2}$ $\sqrt{2}$
The reaction $A \rightarrow B$ is carried out isothermally on a porous catalyst. The intrinsic reaction rate is $kC_{A}^{2}$, where $k$ is the rate constant and $C_{A}$ i...
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GATE CH 2022 | Question: 15
A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given ... $RR >> RR_{\text{min}}$
A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given column pressure. It $RR_{\text{min}}$...
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GATE CH 2022 | Question: 14
Choose the option that correctly pairs the given measurement devices with the quantities they measure. ...
Choose the option that correctly pairs the given measurement devices with the quantities they measure.$$\begin{array}{ccc} \hline\text{S No} & \text{Measurement Device} &...
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GATE CH 2022 | Question: 13
The appropriate feedforward compensator, $G_{ff}$ ...
The appropriate feedforward compensator, $G_{ff}$, in the shown block diagram is$G_{ff} = \dfrac{2}{3}\dfrac{\left ( 8s + 1\right )}{\left ( 5s + 1\right )}$$G_{ff} = -\d...
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GATE CH 2022 | Question: 12
Liquid flowing through a heat exchanger $\text{(HX)}$ is heated. A bypass stream is provided to ... large disturbances while avoiding vaporization in the heat exchanger is
Liquid flowing through a heat exchanger $\text{(HX)}$ is heated. A bypass stream is provided to control the temperature of the heated exit stream. From the given plumbing...
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GATE CH 2022 | Question: 11
A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool ... $\text{LC}$ : Direct, $\text{TC}$ : Direct
A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool the reactor. The heated water flashes in the b...
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GATE CH 2022 | Question: 35
Consider a sphere of radius $4$, centered at the origin, with outward unit normal $\hat{n}$ on its surface ... is _________________ (rounded off to one decimal places)
Consider a sphere of radius $4$, centered at the origin, with outward unit normal $\hat{n}$ on its surface $S$. The value of the surface integral $\iint _{s} \left ( \dfr...
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GATE CH 2022 | Question: 31
Two large parallel planar walls are maintained at $1000\:K$ and $500\:K$. Parallel radiation shields are to be installed between the ... the walls is (are) $1$ $0$ $2$ $3$
Two large parallel planar walls are maintained at $1000\:K$ and $500\:K$. Parallel radiation shields are to be installed between the two walls. Assume that the emissiviti...
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GATE CH 2022 | Question: 32
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge ... $\frac{3}{4}$ $3$
Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge of the plate, then the local he...
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GATE CH 2022 | Question: 33
Match the product in Group-$1$ with the manufacturing process in Group-$2$ ... $\text{P-I, Q-IV, R-II, S-III}$
Match the product in Group-$1$ with the manufacturing process in Group-$2$. The correct combination is$$\begin{array}{|c|c|} \hline\text{} & \text{Group – 1} & & \text{...
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GATE CH 2022 | Question: 34
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ ... is _________________ (rounded off to two decimal places).
The directional derivative of $f\left ( x, y, z \right ) = 4x^{2}+2y^{2}+z^{2}$ at the point $(1, 1, 1)$ in the direction of the vector $\vec{v} = \hat{i} - \hat{k}$ is _...
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GATE CH 2022 | Question: 18
The area of a circular field is $25\: m^{2}$. The radius, $r$, is to be determined using the Newton ... iteration is ____________ $m$ (rounded off to three decimal places).
The area of a circular field is $25\: m^{2}$. The radius, $r$, is to be determined using the Newton-Raphson iterative method. For an initial guess of $r = 2.500\: m$, the...
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GATE CH 2022 | Question: 20
A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at ... (rounded off to two decimal places).
A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at $100^{\circ}C$ and leaves as saturated water at $1...
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GATE CH 2022 | Question: 19
$5$ moles of liquid benzene, $8$ moles of liquid toluene and $7$ moles of liquid xylene are mixed at $25^{\circ}C$ ... $J\:K^{-1}$ (rounded off to one decimal place).
$5$ moles of liquid benzene, $8$ moles of liquid toluene and $7$ moles of liquid xylene are mixed at $25^{\circ}C$ and $1$ bar. Assuming the formation of an ideal solutio...
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GATE CH 2022 | GA Question: 6
Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate ... continue to provide good yields even in extreme weather
Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a threat to sustained ...
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GATE CH 2022 | GA Question: 8
Consider the following inequalities. $3p \:- q < 4$ $3q \:- p < 12$ Which one of the following expressions below ... $8 \leq p + q < 16$ $p + q \geq 16$
​​​​​​​Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalitie...
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GATE CH 2022 | GA Question: 9
Given below are three statements and four conclusions drawn based on the statements. Statement $1$ : Some engineers are ... $\text{IV}$ is correct
Given below are three statements and four conclusions drawn based on the statements.Statement $1$ : Some engineers are writers.Statement $2$ : No writer is an actor.State...
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GATE CH 2022 | GA Question: 4
Six persons $\text{P, Q, R, S, T and U}$ are sitting around a circular table facing the center not necessarily in the same ... and $\text{U}$ $\text{P}$ and $\text{S}$
Six persons $\text{P, Q, R, S, T and U}$ are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements:$\text...
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GATE CH 2022 | GA Question: 3
Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ ... (in litres)? $26.8$ $60.0$ $120.0$ $127.5$
Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ minutes, respectively. Pipe $\text{R}$ draws the water out from the storage tan...
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GATE CH 2022 | GA Question: 2
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape. What should be the minimum volume (in $\text{cm}^{3}$) of ... $r^{3}$ $2r^{3}$ $8r^{3}$
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape.What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere?$\fra...
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GATE CH 2022 | GA Question: 1
Inhaling the smoke from a burning ______________ could ____________ you quickly. tire / tier tire / tyre tyre / tire tyre / tier
Inhaling the smoke from a burning ______________ could ____________ you quickly.tire / tiertire / tyretyre / tiretyre / tier
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GATE CH 2022 | Question: 5
For a single component system at vapor-liquid equilibrium, the extensive variables $\text{A,V, S and N}$ denote the Helmholtz free ...
For a single component system at vapor-liquid equilibrium, the extensive variables $\text{A,V, S and N}$ denote the Helmholtz free energy, volume, entropy, and number of ...
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GATE CH 2022 | Question: 1
The value of $(1 + i)^{12}$, where $i = \sqrt{-1}$, is $-64i$ $64i$ $64$ $-64$
The value of $(1 + i)^{12}$, where $i = \sqrt{-1}$, is$-64i$$64i$$64$$-64$
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GATE CH 2022 | Question: 2
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$ ... is $(1, 1)$ $(1, 2)$ $(2, 2)$ $(2, 1)$
Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is$(1, 1)$$(1, 2)$$(2, 2)$$(2...
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GATE CH 2022 | Question: 3
Let $f\left ( x \right ) = e ^{-\left |x \right |}$, where $x$ is real. The value of $\dfrac{df}{dx}$ at $x = -1$ is $-e$ $e$ $\frac{1}{e}$ $\frac{-1}{e}$
Let $f\left ( x \right ) = e ^{-\left |x \right |}$, where $x$ is real. The value of $\dfrac{df}{dx}$ at $x = -1$ is$-e$$e$$\frac{1}{e}$$\frac{-1}{e}$
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GATE CH 2022 | Question: 4
The value of the real variable $x \geq 0$, which maximizes the function $f\left ( x \right ) = x^{e} e ^{-x}$ is $e$ $0$ $\frac{1}{e}$ $1$
The value of the real variable $x \geq 0$, which maximizes the function $f\left ( x \right ) = x^{e} e ^{-x}$ is$e$$0$$\frac{1}{e}$$1$
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GATE CH 2022 | Question: 6
Consider turbulent flow in a pipe under isothermal conditions. Let $r$ denote the radial coordinate ... Decreases and then increases Remains unchanged Only increases
Consider turbulent flow in a pipe under isothermal conditions. Let $r$ denote the radial coordinate and $z$ denote the axial flow direction. On moving away from the wall ...
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GATE CH 2022 | Question: 7
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the ... $4W_{1}$ $W_{1}$ $0.5W_{1}$
Consider two stationary spherical pure water droplets of diameters $d_{1}$ and $2d_{1}$. $CO_{2}$ diffuses into the droplets from the surroundings. If the rate of diffusi...
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GATE CH 2022 | Question: 8
In soap manufacturing, the triglycerides present in oils and fats are hydrolyzed to mainly produce Fatty ... glycerol Glycerol only Fatty acids only Glycerol and paraffins
In soap manufacturing, the triglycerides present in oils and fats are hydrolyzed to mainly produceFatty acids and glycerolGlycerol onlyFatty acids onlyGlycerol and paraff...
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GATE CH 2022 | Question: 9
The chemical formula of Glauber’s salt, used in the Kraft process, is $Na_{2}CO_{3}.10H_{2}O$ $Na_{2}S_{2}O_{4}.2H_{2}O$ $Na_{2}HPO_{4}.2H_{2}O$ $Na_{2}SO_{4}.10H_{2}O$
The chemical formula of Glauber’s salt, used in the Kraft process, is$Na_{2}CO_{3}.10H_{2}O$$Na_{2}S_{2}O_{4}.2H_{2}O$$Na_{2}HPO_{4}.2H_{2}O$$Na_{2}SO_{4}.10H_{2}O$
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GATE CH 2022 | Question: 10
Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The ... of naphthenes Isomerization of naphthenes Cyclization of paraffins
Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The undesirable reaction in the catalytic reforming of naphtha isHydrocracking of ...
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GATE CH 2022 | Question: 28
A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ ... is $30 \pi$ $10 \pi$ $20 \pi$ $5 \pi$
A horizontal cylindrical water jet of diameter $D_{1} = 2\: cm$ strikes a vertical solid plate with a hole of diameter $D_{2} = 1\:cm$, as shown in the figure. A part of ...
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GATE CH 2022 | Question: 21
Consider steady-state diffusion in a binary $\text{A-B}$ liquid at constant temperature and pressure. The mole ... is _________________ (rounded off to one decimal place).
Consider steady-state diffusion in a binary $\text{A-B}$ liquid at constant temperature and pressure. The mole-fraction of $A$ at two different locations is $0.8$ and $0....
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GATE CH 2022 | Question: 22
Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer ... (rounded off to one decimal place).
Consider interphase mass transfer of a species $S$ between two immiscible liquids $A$ and $B$. The interfacial mass transfer coefficient ot $S$ in liquid $A$ is twice of ...
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GATE CH 2022 | Question: 23
A wet solid containing $20\%$ $\text{(w/w)}$ moisture (based on mass of bone-dry solid) is dried in a tray-dryer. ... $\text{(w/w)}$ (rounded off to one decimal place).
A wet solid containing $20\%$ $\text{(w/w)}$ moisture (based on mass of bone-dry solid) is dried in a tray-dryer. The critical moisture content of the solid is $10\%$ $\t...
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GATE CH 2022 | Question: 24
A process described by the transfer function ... ) is __________________ (rounded off to the nearest integer).
A process described by the transfer function $$G_{P}\left ( s \right ) = \frac{\left ( 10s +1 \right )}{5s + 1}$$ is forced by a unit step input at time $t = 0$. The outp...
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GATE CH 2022 | Question: 25
A compressor with a lite of $10$ years costs Rs $10$ ... compressor is Rs _______________ lakhs (rounded to first decimal place)
A compressor with a lite of $10$ years costs Rs $10$ lakhs. Its yearly operating cost is Rs $0.5$ lakh. If the annual compound interest rate is $8\%$, the amount needed a...
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GATE CH 2022 | Question: 26
The partial differential equation $\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$ where ... $1$ $e$ $\pi$ $\frac{1}{e}$
The partial differential equation $$\frac{\partial u}{\partial t} = \frac{1}{\pi^{2}} \frac{\partial ^{2} u}{\partial x^{2}}$$ where, $t \geq 0$ and $x \in [0,1]$, is sub...
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GATE CH 2022 | Question: 27
$N$ moles of an ideal gas undergo a two-step process as shown in the figure. Let $\text{P, V and T}$ denote the pressure, volume ... $P_{2}V_{2} - P_{1}V_{1}$
$N$ moles of an ideal gas undergo a two-step process as shown in the figure. Let $\text{P, V and T}$ denote the pressure, volume and temperature of the gas, respectively....
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GATE CH 2022 | Question: 30
Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ ... places, is $0.02$ $0.04$ $0.10$ $0.01$
Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ and the ambient temperature is $T_{a}\:(T_{s} T_{a})$. The wire is to be...