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Question

# 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

A
50.5
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B
38.5
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C
56.5
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D
68.5
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Solution

## The correct option is B 38.5Relative humidity, ϕ=pvpvs Specific humidity, ω=0.622(pvp−pv) 11.5×10−3=0.622(pv90−pv) pv=1.63378KPa Relative humidity, ϕ=pvpvs=1.633784.28=0.385 = 38.5%

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