Thermodynamics Miscellaneous


  1. The equivalent evaporation (kg/hr) of a boiler producing 2000 kg/hr of steam with enthalpy content of 2426 kJ/kg from feed water at temperature 40°C (liquid enthalpy =168 kJ/kg) is (enthalpy of vaporization of water at 100°C = 2258 kJ/kg)









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    Equivalent evaporation =
    h1 - hfeed
    × rh
    hfgam

    Equivalent evaporation =
    (2000)(2426 - 168)
    = 2000 kg/hr
    2258

    Correct Option: A

    Equivalent evaporation =
    h1 - hfeed
    × rh
    hfgam

    Equivalent evaporation =
    (2000)(2426 - 168)
    = 2000 kg/hr
    2258


  1. In the vicinity of the triple point, the vapour pressures of liquid and solid ammonia are respectively given by ln P= 15.16 – 3063/T and In P= 18.70 – 3754/T where P is in atmospheric and T is in kelvin. What is the temperature at the triple point?









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    At triple point the vapour pressure of solid ammonia is equal to vapor pressure of liquid ammonia

    -3063
    = 18.7 -
    3754
    TT

    T =
    3754 - 3036
    = 195.2 K
    18.7 - 15.16

    Correct Option: C

    At triple point the vapour pressure of solid ammonia is equal to vapor pressure of liquid ammonia

    -3063
    = 18.7 -
    3754
    TT

    T =
    3754 - 3036
    = 195.2 K
    18.7 - 15.16



  1. In the figure shown, the system is a pure substance kept in a piston-cyllnder arrangement. The system is initially a twophase mixture containing 1 kg of liquid and 0.03 kg of vapour at a pressure of 100 kPa. Initially, the piston rests on a set of stops, a shown in the figure. A pressure of 200 kPa is required to exactly balance the weight of the piston and the outside atmospheric pressure. Heat transfer takes place into the system until its volume increases by 50%. Heat transfer to the system occurs in such a manner that the piston, where it is allowed to move, does so in a very slow (quasi-Static/quasi-equilibrium) process. The thermal reservoir from which heat is transferred to the system has a temperature of 400°C. Average temperature of the system boundary can be taken as 175°C. The heat transfer to the system is 1 kJ, during which its entropy increases by 10 J/K. Specific volumes of liquid (vf) and vapour (vg) phases, as well as values of saturation temperatures, are given in the table below.

    Pressure Saturation Vf ( m3/Kg )Vg( m3/Kg )
    100 100 0.001 0.1
    200 200 0.0015 0.002

    The work done by the system during the process is









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    w = pdv
    w = 200 (v2 – v1)
    w = 200 (0.5 × v1)
    v1 = 200 × 0.5 × 0.004
    [w = 0.4 kJ]

    Correct Option: D

    w = pdv
    w = 200 (v2 – v1)
    w = 200 (0.5 × v1)
    v1 = 200 × 0.5 × 0.004
    [w = 0.4 kJ]


  1. Boiler rating is usually defined in terms of









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    Boiler rating is usually defined in term of steam output in kg/hr

    Correct Option: D

    Boiler rating is usually defined in term of steam output in kg/hr



  1. A vessel of volume 1.0 m3 contains a mixture of liquid water and steam in equilibrium at 1.0 bar. Given that 90% of the volume is occupied by the steam, find the fraction of the mixture. Assume at 1.0 bar, vf = 0.001 m3/kg and vg = 1.7 m3/kg.









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    vf = 0.001 m3 /kg
    vg = 1.7 m3 /kg

    mass of mixture =
    0.9
    +
    0.1
    vgvf

    mass of mixture =
    0.9
    +
    0.1
    = 100.53 kg
    1.70.001

    Specific volume v =
    1
    = 9.947 × 10-3 m3 / kg
    m

    v = vf + x(vf - vg)
    9.947 × 10-3 = 0.001 + x(1.7 - 0.001)
    x = 5.266 × 10-3

    Correct Option: A

    vf = 0.001 m3 /kg
    vg = 1.7 m3 /kg

    mass of mixture =
    0.9
    +
    0.1
    vgvf

    mass of mixture =
    0.9
    +
    0.1
    = 100.53 kg
    1.70.001

    Specific volume v =
    1
    = 9.947 × 10-3 m3 / kg
    m

    v = vf + x(vf - vg)
    9.947 × 10-3 = 0.001 + x(1.7 - 0.001)
    x = 5.266 × 10-3