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GATE 2017-2018 :: GATE Chemical

  1. The exit age distribution for a reactor is given by E(t) = δ(t - 4), where t is in seconds. A first order liquid phase reaction (k = 0.25 s-1) is carried out in this reactor under steady state and isothermal conditions. The mean conversion of the reactant at the exit of the reactor, up to 2 digits after the decimal point, is __________
  2. A.
    0.66 to 0.68
    B.
    0.62 to 0.64
    C.
    1.00 to 1.02
    D.
    0.07 to 0.09

  3. An isothermal liquid phase zero order reaction A --> B (k = 0.5 mol/m3 -s) is carried out in a batch reactor. The initial concentration of A is 2 mol/m3. At 3 seconds from the start of the reaction, the concentration of A in mol/m3 is __________
  4. A.
    0.2
    B.
    0.3
    C.
    0.4
    D.
    0.5

  5. The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 is __________
  6. A.
    0.5
    B.
    0.9
    C.
    1.4
    D.
    2.5

  7. In the manufacture of sulphuric acid by the contact process, the catalytic oxidation of SO2 is carried out in multiple stages mainly to
  8. A.
    increase the reaction rate by providing inter-stage heating
    B.
    increase the overall conversion by providing inter-stage heating
    C.
    increase the overall conversion by providing inter-stage cooling
    D.
    decrease the overall conversion by removing sulphur trioxide between stages

  9. Match the following.
    Group 1                           Group 2
    (P) Viscosity                   (1) Pyrometer
    (Q) Pressure                  (2) Hot wire anemometer
    (R) Velocity                    (3) Rheometer
    (S) Temperature           (4) Piezoelectric element
  10. A.
    P-4, Q-3, R-1, S-2
    B.
    P-3, Q-4, R-2, S-1
    C.
    P-3, Q-4, R-1, S-2
    D.
    P-4, Q-3, R-2, S-1

  11. For the function f(z) = 1/[(2 - z)(z + 2] the residue at z = 2 is _________
  12. A.
    -0.25
    B.
    -0.24
    C.
    -0.23
    D.
    -0.22

  13. The solution of the differential equation dy/dx - y2 = 0, given y = 1 at x = 0 is
  14. A.
    1/(1 + x)
    B.
    1/(1 - x)
    C.
    1/(1 - x)2
    D.
    x3/3 + 1

  15. The solution of the differential equation d2y/dx2 - dy/dx + 0.25y = 0, given y = 0 at x = 0 and dy/dx = 1 at x = 0 is
  16. A.
    x e0.5x - x e-0.5x
    B.
    0.5 x ex - 0.5 x e-x
    C.
    x e0.5x
    D.
    -x e0.5x

  17. The value of the integral  evaluated by Simpson's rule using 4 subintervals (up to 3 digits after the decimal point) is ____
  18. A.
    0.23 to 0.24
    B.
    0.38 to 0.39
    C.
    0.11 to 0.12
    D.
    2.12 to 2.13

  19. In a process occurring in a closed system F, the heat transferred from F to the surroundings E is 600 J. If the temperature of E is 300 K and that of F is in the range 380 - 400 K, the entropy changes of the surroundings (ΔSE) and system (ΔSF), in J/K, are given by
  20. A.
    ΔSE = 2, ΔSF = -2
    B.
    ΔSE = -2, ΔSF = 2
    C.
    ΔSE = 2, ΔSF < -2
    D.
    ΔSE = 2, ΔSF > -2