Thermodynamics Miscellaneous


  1. A mixture of ideal gases has the following composition by mass :
    N2 O2 CO2
    60% 30% 10%

    If the universal gas constant is 8314 J/kmolK, the characteristic gas constant of the mixture (in J/kgK) is _______.









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    Gas constant of mixture,

    Rm =
    Universal gas constant
    Average molar mass

    Rm =
    Universal gas constant
    Average molar mass

    Average molar mass =
    100
    = 30.233 kg/kmol
    60
    +
    30
    +
    10
    283244

    Rm =
    8314
    = 274.996 J/kg -K
    30.233

    Correct Option: A

    Gas constant of mixture,

    Rm =
    Universal gas constant
    Average molar mass

    Rm =
    Universal gas constant
    Average molar mass

    Average molar mass =
    100
    = 30.233 kg/kmol
    60
    +
    30
    +
    10
    283244

    Rm =
    8314
    = 274.996 J/kg -K
    30.233


  1. The internal energy of an ideal gas is a function of









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    temperature only

    Correct Option: D

    temperature only



  1. A piston-cylinder device initially contains 0.4 m3 of air (to be treated as an ideal gas) at 100 kPa and 80°C. The air is now isothermally compressed to 0.1 m3. The work done during this process is ______kJ.
    (Take the sign convention such that work done on the system is negative)









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    For isothermal process

    W = P1V1ln
    V2
    V1

    W = 100 × 0.4 ln
    0.1
    = -55.45 kJ
    0.4

    Correct Option: C

    For isothermal process

    W = P1V1ln
    V2
    V1

    W = 100 × 0.4 ln
    0.1
    = -55.45 kJ
    0.4


  1. The first law of thermodynamics takes the form W = –∆H when applied to









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    Steady flow equation is given be,
    H1 + q = H2 + W
    Adiabatic q = 0
    H1 – H2 = W
    W = -∆H

    Correct Option: B

    Steady flow equation is given be,
    H1 + q = H2 + W
    Adiabatic q = 0
    H1 – H2 = W
    W = -∆H



  1. In the case of a refrigeration system undergoing an irreversible cycle, ∮
    δQ
    is ....(< 0/ = 0/ > 0)
    T









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    δQ
    < 0 clausius inequality
    T

    Correct Option: A

    δQ
    < 0 clausius inequality
    T