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GATE 2017-2018 :: GATE Chemical

  1. A binary liquid mixture is in equilibrium with its vapor at a temperature T = 300 K. The liquid mole fraction x1 of species 1 is 0.4 and the molar excess Gibbs free energy is 200 J/mol. The value of the universal gas constant is 8.314 J/mol-K, and Ï’i denotes the liquid-phase activity coefficient of species i. If ln(Ï’1) = 0.09, then the value of ln(Ï’2), up to 2 digits after the decimal point, is ________
  2. A.
    0.01 to 0.03
    B.
    0.09 to 0.11
    C.
    1.22 to 1.23
    D.
    0.06 to 0.08

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  3. Water (density 1000 kg/m3) is flowing through a nozzle, as shown below and exiting to the atmosphere. The relationship between the diameters of the nozzle at locations 1 and 2 is D1 = 4 D2. The average velocity of the stream at location 2 is 16 m/s and the frictional loss between location 1 and location 2 is 10000 Pa. Assuming steady state and turbulent flow, the gauge pressure in Pa, at location 1 is ___________

  4. A.
    137500
    B.
    128700
    C.
    537980
    D.
    327104

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  5. 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 liquid velocity is adjusted such that it is slightly lower than the terminal velocity of the coarse crystals only. Hence
  6. A.
    the very fine and coarse crystals will both be carried upward by the liquid
    B.
    the very fine and coarse crystals will both settle at the bottom of the tube
    C.
    the very fine crystals will be carried upward and the coarse crystals will settle
    D.
    the coarse crystals will be carried upward and the very fine crystals will settle

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  7. 100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed through a mesh size of 1.27 mm. The power consumption was 100 kW. If 100 ton/h of the same material is similarly crushed from a mesh size of 5.08 mm to a mesh size of 2.54 mm, the power consumption (in kW, to the nearest integer) using Bond's law, is _____________
  8. A.
    66 to 69
    B.
    43 to 46
    C.
    69 to 72
    D.
    80 to 83

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  9. Calculate the heat required (in kJ, up to 1 digit after the decimal point) to raise the temperature of 1 mole of a solid material from 100oC to 1000oC. The specific heat (CP) of the material (in J/mol-K) is expressed as CP = 20 + 0.005T, where T is in K. Assume no phase change. _________
  10. A.
    21 to 22
    B.
    11 to 12
    C.
    32 to 33
    D.
    38 to 39

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  11. The vapor-liquid equilibrium curve of a binary mixture A-B, may be approximated by a linear equation over a narrow range of liquid mole fractions ( 0.2 < xA < 0.3) as follows 
     y*A = 1.325 xA + 0.121 
    Here y*A is the mole fraction of A in the vapor. 100 moles of a feed (xA, F = 0.28) is batch distilled to a final residue (xA, W = 0.2). Using the Rayleigh equation, the number of moles of the residue left behind in the distillation unit, up to 2 digits after the decimal point, is ____________
  12. A.
    45 to 46
    B.
    55 to 56
    C.
    66 to 67
    D.
    85 to 86

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  13. A crosscurrent cascade of N ideal stages is used to treat a feed stream of molar flow rate E. The feed stream contains a solute which is to be recovered by a pure solvent having a molar flow rate S. The solvent is divided equally between these N stages. The linear equilibrium curve relating the mole fractions x and y* of the solute in the raffinate and the extract respectively, is given by y* = m x. Assume dilute conditions. The ratio of the solute mole fraction in the original feed to that in the exit raffinate stream i.e. (x0/xN) is given by
  14. A.
    [1 + (mS/NE)]N
    B.
    [1 + (NS/mE)]N
    C.
    [1 + (NE/mS)]N
    D.
    [1 + (mE/NS)]N

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  15. A study was conducted in which water was pumped through cylindrical pipes made of a sparingly soluble solid. For a given pipe and certain flow conditions, the mass transfer coefficient kc has been calculated as 1 mm/s using the correlation 
    Sh = 0.025 Re0.6 Sc0.33 
    If the velocity of the fluid and the diameter of the pipe are both doubled, what is the new value of kc in mm/s, up to 2 digits after the decimal point? ____________
  16. A.
    1.14 to 1.16
    B.
    1.45 to 1.46
    C.
    2.34 to 2.35
    D.
    5.43 to 5.44

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  17. The gas phase decomposition of azomethane to give ethane and nitrogen takes place according to the following sequence of elementary reactions.

    Using the pseudo-steady-state-approximation for [(CH3)2 N2], the order with respect to azomethane in the rate expression for the formation of ethane, in the limit of high concentrations of azomethane, is ___________ 
  18. A.
    6
    B.
    3
    C.
    7
    D.
    1

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  19. A first order liquid phase reaction is carried out isothermally at a steady state in a CSTR and 90% conversion is attained. With the same inlet conditions and for the same overall conversion, if the CSTR is replaced by two smaller and identical isothermal CSTRs in series, the % reduction in total volume, to the nearest integer, is ____________
  20. A.
    52
    B.
    53
    C.
    54
    D.
    55

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