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Finding the relative humidity

A closed vessel contains moist air at 20 degree celcius, the relative humidity being 30 %. What would be the relative humidity become if the vessel were cooled to 10 degree celcius ?

SVP of watyer at 20 deg celcius = 17.5 mm
SVP of water at 10 deg celcius = 9.2 mm

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Relative humidity at 20 deg C is

= (Actual vapor pressure * 100)/Saturation vapor pressure at 20 deg ...

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The solution explains each step and provides all mathematical steps.