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GATE 2017-2018 :: GATE Chemical

  1. In a 1-1 pass floating head type shell and tube heat exchanger, the tubes (od = 25 mm; id = 21 mm) are arranged in a square pitch. The tube pitch is 32 mm. The thermal conductivity of the shell side fluid is 0.19 W/m.K, and the Nusselt number is 200. The shell-side heat transfer coefficient (in W/m2. K), rounded off to the nearest integer, is
  2. A.
    1100
    B.
    1400
    C.
    1800
    D.
    2100

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  3. Match the process in Group I with the catalyst in Group II 
                      Group I                                                    Group II
    P. Fischer-Tropsch synthesis                                 I. Nickel         
    Q. Formaldehyde from methanol                         II. Fe2O3   
    R. Hydrogenation of vegetable oils                       III. Silver
    S. Dehydrogenation of ethylbenzene                    IV. Cobalt 

  4. A.
    P-III, Q-IV, R-I, S-II
    B.
    P-IV, Q-II, R-I, S-III
    C.
    P-IV, Q-III, R-I, S-II
    D.
    P-III, Q-IV, R-II, S-I

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  5. Match the polymer in Group I to the polymer characteristic in Group II
    Group I                                                               Group II
    P. Polyethylene                                               I. Elastomer 
    Q. Phenol-formaldehyde polymer              II. Fiber    
    R. Polyisoprene                                               III. Thermoplastic
    S. Polyester                                                      IV. Thermosetting polymer



  6. A.
    P-III, Q-IV, R-I, S-II
    B.
    P-IV, Q-II, R-III, S-I
    C.
    P-III, Q-II, R-I, S-IV
    D.
    P-IV, Q-III, R-I, S-II

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  7. A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt %, and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , where Y = mass of C/mass of A and X = mass of C/mass of B.
    T he minimum flow rate of solvent B required (in kg/h) is
  8. A.
    1454
    B.
    1584
    C.
    1676
    D.
    1874

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  9. A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt %, and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , where Y = mass of C/mass of A and X = mass of C/mass of B.
    I f the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, using Kremser's equation (adjusted to the next integer) is
  10. A.
    5
    B.
    9
    C.
    11
    D.
    13

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  11. The reaction A(liq) + B(gas) ---> C(liq) + D(gas), is carried out in a reactor followed by a separator as shown below 

    Notation: 
    Molar flow rate of fresh B is FFB 
    Molar flow rate of A is FA 
    Molar flow rate of recycle gas is FRG 
    Mole fraction of B in recycle gas is YRB 
    Molar flow rate of purge gas is FPG 
    Molar flow rate of C is FC 
    Here, FFB = 2 mol/s; FA = 1 mol/s, FB/FA = 5 and A is completely converted. If YRB = 0.3, the ratio of recycle gas to purge gas (FRG/FPG) is
  12. A.
    2
    B.
    5
    C.
    7
    D.
    10

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  13. The reaction A(liq) + B(gas) ---> C(liq) + D(gas), is carried out in a reactor followed by a separator as shown below 

    Notation: 
    Molar flow rate of fresh B is FFB 
    Molar flow rate of A is FA 
    Molar flow rate of recycle gas is FRG 
    Mole fraction of B in recycle gas is YRB 
    Molar flow rate of purge gas is FPG 
    Molar flow rate of C is FC 
    Here, FFB = 2 mol/s; FA = 1 mol/s, FB/FA = 5 and A is completely converted.
    I f the ratio of recycle gas to purge gas (FRG/FPG) is 4 then YRB is
  14. A.
    3/8
    B.
    2/5
    C.
    1/2
    D.
    3/4

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  15. A Newtonian fluid of viscosity μ flows between two parallel plates due to the motion of the bottom plate (as shown below), which is moved with a velocity V . The top plate is stationary. 

    The steady, laminar velocity profile in the x - direction is
  16. A.
    V[y/b]
    B.
    V[(y/b)2 - 1]
    C.
    V[1 - (y/b)2]
    D.
    V[1 - y/b]

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  17. A Newtonian fluid of viscosity μ flows between two parallel plates due to the motion of the bottom plate (as shown below), which is moved with a velocity V . The top plate is stationary. 

    T he force per unit area (in the x -direction) that must be exerted on the bottom plate to maintain the flow is
  18. A.
    μV/b
    B.
    -μV/b
    C.
    2μV/b
    D.
    -2μV/b

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  19. The first order liquid phase reaction A ---> P is conducted isothermally in a plug flow reactor of 5 liter volume. The inlet volumetric flow rate is 1 liter/min and the inlet concentration of A is 2 mole/liter. 
    If the exit concentration of A is 0.5 mole /liter, then the rate constant, in min-1, is
  20. A.
    0.06
    B.
    0.28
    C.
    0.42
    D.
    0.64

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