Refrigeration and Air-conditioning Miscellaneous


Refrigeration and Air-conditioning Miscellaneous

Refrigeration and Air-conditioning

  1. A moist air sample has dry bulb temperature of 30°C and specific humidity of 11.5 g water vapour per kg dry air. Assume molecular weight of air as 28.93. If the saturation vapour pressure of water at 30°C is 4.24 kPa and the total pressure is 90 kPa, then the relative humidity (in%) of air sample is









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    Given: DBT = 30°C, w = 11.5 g/kg
    ∴ Relative humidity

    =
    Specific humidity
    ×
    Total pressure
    0.622saturation vapour pressure

    φ =
    w
    ×
    Pa
    0.622Pvs

    φ =
    11.5 × 90
    = 0.385
    0.622 × 1000 × 4.24

    φ ≈ 38.5%

    Correct Option: B

    Given: DBT = 30°C, w = 11.5 g/kg
    ∴ Relative humidity

    =
    Specific humidity
    ×
    Total pressure
    0.622saturation vapour pressure

    φ =
    w
    ×
    Pa
    0.622Pvs

    φ =
    11.5 × 90
    = 0.385
    0.622 × 1000 × 4.24

    φ ≈ 38.5%


  1. Moist air at a pressure of 100 kPa is compressed to 500 kPa and then cooled to 35°C in an aftercooler. The air at the entry to the aftercooler is unsaturated and becomes just saturated at the exit of the aftercooler. The saturation pressure of water at 35°C is 5.628 kPa. The partial pressure of water vapour (in kPa) in the moist air entering the compressor is closest to









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    Assuming that compression is isentropic in air compressors, the process can be described on the T - s diagram. The process in the intercooler is constant pressure
    p2 = p3
    But p2 = 5p1

    p1 =
    p2
    =
    p3
    55

    p1 =
    5.628
    = 1.13kPa
    5

    Correct Option: B

    Assuming that compression is isentropic in air compressors, the process can be described on the T - s diagram. The process in the intercooler is constant pressure
    p2 = p3
    But p2 = 5p1

    p1 =
    p2
    =
    p3
    55

    p1 =
    5.628
    = 1.13kPa
    5


  1. A building has to be maintained at 21 °C (dry bulb) and 14.5°C(wet bulb). The dew point temperature under these conditions is 10.17°C. The outside temperature is –23°C (dry bulb) and the internal and external surface heat transfer coefficients are 8 W/m2K and 23 W/ m2K respectively. If the building wall has a thermal conductivity of 1.2 W/mK, the minimum thickness (in m) of the wall required to prevent condensation is









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    NA

    Correct Option: B

    NA


  1. For a typical sample of ambient air (at 30°C, 75% relative humidity and standard atmospheric pressure), the amount of moisture in kg per kg of dry air will be approximately.









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    Given data:
    Dry bulb temperature:
    Tdb = 35°C
    Relative humidity
    φ = 75° = 0.75
    At 35°C, Ps = .05628 bar

    φ =
    Pv
    ⇒ 0.75 =
    Pv
    Ps.05628

    Pv = 0.75× .05628 =.04221 bar
    Specific humidity,
    ω =
    .622Pv
    =
    .622 × .04221
    P - Pv1.0135 - .04221

    = 0.0270 kg/kg of dry air.

    Correct Option: B

    Given data:
    Dry bulb temperature:
    Tdb = 35°C
    Relative humidity
    φ = 75° = 0.75
    At 35°C, Ps = .05628 bar

    φ =
    Pv
    ⇒ 0.75 =
    Pv
    Ps.05628

    Pv = 0.75× .05628 =.04221 bar
    Specific humidity,
    ω =
    .622Pv
    =
    .622 × .04221
    P - Pv1.0135 - .04221

    = 0.0270 kg/kg of dry air.


  1. Dew point temperature of air at one atmospheric pressure (1.013 bar) is 18°C. The air dry bulb temperature is 30°C. The saturation pressure of water at 18°C and 30°C are 0.02062 bar and 0.04241 bar respectively. The specific heat of air and water vapour respeetively are 1.005 and 1.88 kJ/kgK and the latent heat of vaporization water of 0°C is 2500 kJ/kg. The specific humidity (kg/kg of dry air) and enthalpy (kJ/kg of dry air) of this moist air respectively, are









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    Given: p = 1.013 bar, (pυ)tdp = 0.02062

    Specific humidity = 0.622
    Pυ
    p - Pυ

    =
    0.622 × 0.02062
    = 0.01291 kg/kg of dry air
    1.013 - 0.02062

    h = 1.022 td + w(hfgdp + 2.3tdp)
    = 63.15 kJ/kg of dry air.
    Alternative method
    pε = Saturation pressure = 0.02062 bar
    pa = Partial pressure of air = 0.04241 bar
    td = Dry bulb temperature = 30º
    tw = Wet bulb temperature = 18º
    Specific humidity,
    W =
    pυ
    × 0.622 = 0.01292 kg/kg of dry air.
    p - pυ

    Total enthalpy,
    h = cpa td + whs + wc ps (td – tω)
    = 1.005 × 30 + 0.0129 × 2500 + 0.01292 × 1.88(30 – 18)
    = 63.15 kJ/kg of dry air.

    Correct Option: B

    Given: p = 1.013 bar, (pυ)tdp = 0.02062

    Specific humidity = 0.622
    Pυ
    p - Pυ

    =
    0.622 × 0.02062
    = 0.01291 kg/kg of dry air
    1.013 - 0.02062

    h = 1.022 td + w(hfgdp + 2.3tdp)
    = 63.15 kJ/kg of dry air.
    Alternative method
    pε = Saturation pressure = 0.02062 bar
    pa = Partial pressure of air = 0.04241 bar
    td = Dry bulb temperature = 30º
    tw = Wet bulb temperature = 18º
    Specific humidity,
    W =
    pυ
    × 0.622 = 0.01292 kg/kg of dry air.
    p - pυ

    Total enthalpy,
    h = cpa td + whs + wc ps (td – tω)
    = 1.005 × 30 + 0.0129 × 2500 + 0.01292 × 1.88(30 – 18)
    = 63.15 kJ/kg of dry air.