Answer:
[tex]\phi_{max} = 0.731\,(73.1\,\%)[/tex]
Explanation:
The relative humidity is equal to the ratio of the vapor pressure to the saturation pressure at dry-bulb temperature. Maximum relative occurs when air temperature is equal to the dew-point temperature, related to the temperature of the wall. Then:
[tex]\phi = \frac{P_{v}}{P_{sat}}[/tex]
Saturation Pressure (21°C): (Taken from water tables)
[tex]P_{sat} = 2.5053\,kPa[/tex]
Vapor Pressure (16°C): (Taken from water tables)
[tex]P_{v} = 1.8324\,kPa[/tex]
The maximum relative humidity is:
[tex]\phi_{max} = \frac{1.8324\,kPa}{2.5053\,kPa}[/tex]
[tex]\phi_{max} = 0.731\,(73.1\,\%)[/tex]
Answer:
The maximum relative humidity is 77.7 %
Explanation:
The actual vapor pressure at the given temperature is equal to:
[tex]E=6.11*10*(\frac{T}{237.7+T} )=6.11*10*(\frac{16}{237.7+16} )=28.9mbar[/tex]
The saturation vapor pressure at room temperature is equal to:
[tex]E_{s} =6.11*10*(\frac{21}{237.7+21} )=37.19mbar[/tex]
The maximum relative humidity is equal to:
[tex]Relative-humidity=\frac{E}{E_{s} } *100=\frac{28.9}{37.19} *100=77.7%[/tex]%
