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The heat of combustion of methane, carbon monoxide and hydrogen are $P$, $Q$ and $R$ respectively. For the reaction below, $$CH_4+H_2O \rightarrow CO+3H_2$$ the heat of r...
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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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Consider a steady flow of an incompressible, Newtonian fluid through a smooth circular pipe. Let $\alpha_{\textit{laminar}}$ and $\alpha_{\textit{turbulent}}$ denote the ...
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"You are delaying the completion of the task. Send _________ contributions at the earliest."you areyour you're yore
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Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
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​​​​​Three distinct sets of indistinguishable twins are to be seated at a circular table that has $8$ identical chairs. Unique seating arrangements are defined ...
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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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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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A batch settling experiment is performed in a long column using a dilute dispersion containing equal number of particles of type $A$ and type $B$ in water (density $1000 ...
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Pumps $A$ and $B$ are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the table below. The interest rate is $10 \%$ per a...
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The humidity of air at a dry-bulb temperature of $65^{\circ}\:C$ is $0.025$ $kg$ water/$kg$ dry air. The latent heat of vaporization of water at $0^{\circ}\:C$ is $2500$ ...
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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 ...
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The outlet concentration $C_A$ of a plug flow reactor $\text{(PFR)}$ is controlled by manipulating the inlet concentration $C_{A 0}$. The following transfer function desc...
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Spray dryers have many advantages. Which one of the following is NOT an advantage of a typical spray dryer?Has short drying timeProduces hollow spherical particlesHas hig...
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Annual capacity of a plant producing phenol is $100$ metric tons. Phenol sells at INR $200$ per kg, and its production cost is INR $50$ per kg. The sum of annual fixed ch...
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A feedforward controller can be used only ifthe disturbance variable can be measuredthe disturbance variable can be manipulatedthe disturbance variable can be ignoredregu...
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Two film theory applies for absorption of a solute from a gas mixture into a liquid solvent. The interfacial mass transfer coefficient (in $mol \: m^{-2} \: s^{-1}$) for ...
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In $2022,$ June Huh was awarded the Fields medal, which is the highest prize in Mathematics.When he was younger, he was also a poet. He did not win any medals in the Inte...
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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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A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest...
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John and Jane independently performed a thermodynamic experiment, in which $\mathbf{X}$ and $\mathbf{Y}$ represent the initial and final thermodynamic states of the syste...
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Water in a container at $290 \mathrm{~K}$ is exposed to air containing $3 \% ~ \mathrm{CO}_2$ by volume. Air behaves like an ideal gas and is maintained at $100 ~ \mathrm...
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Rajiv Gandhi Khel Ratna Award was conferred ______ Mary Kom, a six-time world champion in boxing, recently in a ceremony _____ the Rashtrapati Bhawan (the President’s o...
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For a reversible endothermic chemical reaction with constant heat of reaction over the operating temperature range, $K$ is the thermodynamic equilibrium constant. Which o...
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Consider the tank level control system shown in the figure, where the cross-section area of the tank is $A$. Assume perfect flow controllers $\text{(FC)}$. The level cont...
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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...
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The profit shares of two companies $P$ and $Q$ are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the tota...
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In the given figure, PQRS is a parallelogram with $\mathrm{PS}=7 \mathrm{~cm}, \mathrm{PT}=4 \mathrm{~cm}$ and $\text{PV}=5 \mathrm{~cm}$. What is the length of $\mathrm{...
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Which one of the following is the CORRECT value of $y,$ as defined by the expression given below? $$y=\lim _{x \rightarrow 0} \frac{2 x}{e^x-1}$$$1$$2$$0$$\infty$
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Consider a system where a Carnot engine is operating between a source and a sink. Which of the following statements about this system is/are $\text{NOT}$ correct?This eng...
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A packed distillation column, with vapor having an average molecular weight of $45 \mathrm{~kg} \cdot \mathrm{kmol}^{-1}$, density of $2 \mathrm{~kg} \cdot \mathrm{m}^{-3...
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A student performs a flow experiment with Bingham Plastic under fully developed laminar flow conditions in a tube of radius $0.01 \: m$ with a pressure drop $(\Delta P)$ ...
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Given below are three statements and four conclusions drawn based on the statements.Statement $1$ : Some engineers are writers.Statement $2$ : No writer is an actor.State...
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A liquid $\boldsymbol{L}$ containing a dissolved gas $\boldsymbol{S}$ is stripped in a countercurrent operation using a pure carrier gas $\boldsymbol{V}$. The liquid phas...
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​​​​​In a locality, the houses are numbered in the following way:The house-numbers on one side of a road are consecutive odd integers starting from $301$, while...
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​​​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous ...
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For a single component system, vapor (subscript $g$) and liquid (subscript $f$) coexist in mechanical, thermal and phase equilibrium when$u_{g}=u_{f}$ (equality of specif...
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The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to___________.$33$$-3$$30$$21$
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In the elutriation leg of a commercial crystallizer containing a mixture of coarse and very fine crystals of the same material, a liquid is pumped vertically upward. The ...
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The transfer function of a measuring instrument is$$G_m(s)=\frac{1.05}{2 s+1} \exp (-s) .$$At time $t=0$, a step change of $+1$ unit is introduced in the input of this in...