Question Paper Gate Chemical Engineering

1. Select the wrong statement regarding water gas shift converters from the list below.
(a) inter –stage cooling is provided between the two stage of shift converters.
(b) Usually high temperature shift(HTS)reactor has a iron-based catalyst and low temperature shift(LTS) reactor has a copper-based catalyst.
(c) HTS reactor is followed by LTS reactor.
(d) LTS reactor is followed by HTS reactor.            
Ans.(d)
2. A binary feed consisting of 25mol% liquid and 75mol% vapour is separated in a staged distillation column. The mol fraction of the more volatile component in the distillate product is 0.95. The molar flow rate of distillate is 50% of the feed flow rate and McCabe-Thiele method can be used to analyze the column. the q-line intersects the operating line of the enriching section at (0.35,0.5)on the x-y diagram. The slope of the stripping section operating line (up to one decimal place)is_____.
(a) -1                                                               
(b) 0.8
(c) 1.4                                            
(d) 2                                                                  
Ans.(c)
3. A proposed chemical plant is estimated to have a fixed capital (FC) of 24Rs crores. Assuming other costs to be small ,the total investment may be taken to be same as FC. After  commissioning (at t=0 years), the annual profit before tax is 10 Rs crores/year (at the end of each year) and the expected life of the plant is 10 years. The tax rate is 40% per year and a linear depreciation is allowed at 10% per year. The salvage value is zero. If the annual interest rate is 12% the NPV (net present value of  worth) of the project in crores of rupees(up to one decimal place)is_________.
(a) -1.78                                          
(b) 0
(c) 15-15.5                                   
(d) 22-24.7                                                           
Ans.(c)
4. Adsorption on activated carbon is to be used for reducing phenol concentration in wastewater from 0.04mol/1 to 0.008mol/1. The adsorption isotherm at the operating temperature can be  expressed as q= 0.025C1/3; where q is the phenol concentration in solid (mol/g solid)and c is the phenol concentration in water(mol/1). the minimum amount of solid(in grams)required per liter of wastewater (up to one decimal place)is
(a) 50.0                                           
(b)   5.4-5.7           
(c) 58.7                                          
(d)   6.3-6.5                                                                 
Ans.(d)
5. The solution of the non-linear equation x3-x=0 is to be obtained using Newton- raphson method. If the initial guess is x =0.5,the method converges to which one of the following values:
(a) -1                                          
(b) 0
(c) 1                                           
(d) 2                                                                            
Ans.(a)
6. An ideal gas is initially at a pressure of 0.1 MPa and a total volume of 2m3.It is first compressed to 1MPa by a reversible adiabatic process and then cooled at constant pressure to a final volume  of 0.2m3. the total work done(in kJ)on the gas for the entire  process (up to one decimal place)is______. Data: R = 8.314J/molK; heat capacity at constant pressure (CP)=2.5R
(a)610                                            
(b)  750
(c)460                                          
(d)570                                                     
Ans.(b)
7. Identify the WRONG statement amongst the following:
(a) steam distillation is used for mixtures that re immiscible with water.
(b) Vacuum distillation is used for mixtures that are miscible with water.
(c) Steam distillation is used for mixtures that are miscible with water.     
(b) vacuum distillation columns have larger diameter as compared to atmospheric columns for the  same throughout.         
Ans.(c)
8. A cylindrical packed bed of height 1m is filled with equal sized spherical particles. The particles are nonporous and have a density of 1500kg/m3.The void fraction of the bed is 0.45. The bed is fluidized using air (density 1kg/m3). If the acceleration due to gravity is 9.8m/s2, the pressure drop (in pa) across the bed at incipient fluidization(up to one decimal place) is ____.
(a) 4400                                                            
(b) 5054-5080
(c) 6407                                                          
(d) 8080-8100                                                             
Ans.(d)
9. For a pure liquid, the rate of change of vapour pressure with temperature is 0.1bar/K in the temperature range of 300 to 350K. If the boiling point of the liquid at 2 bar is 320 K, The temperature(in K)at which it will boil at 1 bar (up to one decimal place)is_________.
(a) 544                                                            
(b) 310
(c) 640                                                           
(d) 80                                                            
Ans.(b)
10. For which the reaction order, the half-life of the reactant is half of the full lifetime(time for 100% conversion) of the reactant?
(a) Zero order                                                                
(b) half order
 (c) First order                                                                   
(d) Second order                                             
Ans.(a)
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