Chemical Engineering- CH 2017 GATE Paper MCQ Quiz - GATE MCQ

An LVDT (Linear Variable Differential Transformer) is a transducer used for converting  

Match the variables in Group-1 with the instruments in Group-2. 

Choose the correct set of combinations.

The thickness of laminar boundary layer over a flat plate varies along the distance from the leading edge of the plate. As the distance increases, the boundary layer thickness  

The marks obtained by a set of students are 38, 84, 45,70, 75, 60, 48.  The mean and median marks, respectively, are  

In a heat exchanger, the inner diameter of a tube is 25 mm and its outer diameter is 30 mm. The overall heat transfer coefficient based on the inner area is 360 W/m².^°C. Then, the overall heat transfer coefficient based on the outer area, rounded to the nearest integer, is ___ W/m².^°C. 

The cost of a new pump (including installation) is 24,000 Rupees. The pump has useful life of 10 years. Its salvage value is 4000 Rupees. Assuming straight line depreciation, the book value of the pump at the end of 4^th year, rounded to the nearest integer, is ___ Rupees. 

A gas bubble (gas density ρ_g = 2 kg / m³; bubble diameter D = 10⁻⁴ m) is rising vertically through water (density ρ = 1000 kg / m³ ; viscosity µ = 0.001 Pa.s). Force balance on the bubble leads to the following equation,  

Where ν is the velocity of the bubble at any given time t. Assume that the volume of the rising bubble does not change. The value of g = 9.81m / s².  The terminal rising velocity of the bubble (in cm/s), rounded to 2 decimal places, is ___ cm/s.

Water is heated at atmospheric pressure from 40°C to 80°C using two different processes. In process I, the heating is done by a source at 80°C. In process II, the water is first heated from 40°C to 60°C by a source at 60°C, and then from 60°C to 80°C by another source at 80°C. Identify the correct statement.  

The DCDA (Double Contact Double Absorption) process is used the manufacture of  

The real part of 6e^iπ/3 is ___. 

Consider a first order catalytic reaction in a porous catalyst pellet.
Given R - characteristic length of the pellet: D_e - effective diffusivity; k_C - mass transfer coefficient: k₁ - rate constant based on volume of the catalyst pellet; C_s - concentration of reactant on the pellet surface. 

The expression for Thiele modulus is 

Which of the following conditions are valid at the plait point?
P) Density difference between the extract and raffinate phases is zero
Q) Interfacial tension between the extract and raffinate phases is zero
R) Composition difference between the extract and raffinate phases is zero  

The purpose of the mathanation reaction used in ammonia plants is to  

Which of the following is the correct sequence of equipment for size reduction of solids? 

Let i and j be the unit vectors in the x and y directions, respectively. For the function F(x, y) = x³ + y³ the gradient of the function i.e.. ∇F is given by

Consider steady state mass transfer of a solute A from a gas phase to a liquid phase. The gas phase bulk and interface mole fractions are y_A,G and y_A,i respectively. The liquid phase bulk and interface mole fractions are x_{A , L} and x_{A ,i} , respectively. The ratio   close to zero. 

The implies that mass transfer resistance is  

For a solid-catalyzed gas phase reversible reaction, which of the following statements is ALWAYS TRUE?  

The one-dimensional unsteady heat conduction equation is 

Where, T – temperature, t – time, r – radial position, k – thermal conductivity, ρ- density, and 
C_p - specific heat.

For the cylindrical coordinate system, the value of n in the above equation is 

The composition of vapour entering a tray in a distillation column is 0.47. The average composition of the vapour leaving the tray is 0.53. The equilibrium composition of the vapour corresponding to the liquid leaving this tray is 0.52. All the compositions are expressed in mole fraction of the more volatile component. 

The Murphree efficiency based on the vapour phase, rounded to the nearest integer, is ___ %

The number of positive roots of the function f (x) shown below in the range 0 < x < 6 is  ___________. 

The following reaction rate curve is shown for a reaction A → P. Here, (−r_A) and x_A represent reaction rate and conversion, respectively. The feed is pure A and 90% conversion is desired

Q. Which amongst the following reactor configurations gives the lowest total volume of the reactor (s)?  

The total cost (C_T) of an equipment in terms of the operation variables x and y is 

The optimal value of C_T, rounded to 1 decimal place, is ____. 

The vapour pressure of a pure substance at a temperature T is 30bar. The actual and ideal gas values of g / RT for the saturated vapour at this temperature T and 30 bar are 7.0 and 7.7 respectively. Here, g is the molar Gibbs free energy and R is the universal gas constant.  The fugacity of the saturated liquid at these conditions, rounded to 1 decimal place, is ___ bar. 

The Sherwood number (Sh_L) correlation for laminar flow over a flat plate of length L  is given by 

Where Re_L and S_c represent Reynolds number and Schmidt number, respectively.  This correlation, expressed in the form of Chilton-Colburn j_D factor, is

For the initial value problem  the value of x at 

In a counter current stripping operation using pure steam the mole ratio of a solute in the liquid stream is reduced from 0.25 to 0.05. The liquid feed flowrate, on a solute-free basis, is 3mole/s. The equilibrium line for the system is given in the figure below. 

The MINIMUM flowrate of pure steam for this process, rounded to 1 decimal place, is ___ mol/s.