Q95
An air-water vapour mixture has a dry bulb temperature of 60°C and a dew point temperature of 40°C. The total pressure is 101.3 kPa and the vapour pressure of water at 40°C and 60°C are 7.30 kPa and 19.91 kPa respectively.The humidity of air sample expressed as kg of water vapour/kg of dry air is
A.
0.048
AnswerB.
0.079
C.
0.122
D.
0.152
Answer: Option A
Solution
Answer: Option A
Solution:
Given:Dry bulb temperature = 60°C
Dew point temperature = 40°C
Total pressure = 101.3 kPa
Vapour pressure of water at 40°C = 7.30 kPa
Vapour pressure of water at 60°C = 19.91 kPa
Humidity (H) is calculated using:
H = 0.622 × (Pv / (P - Pv))
Where:
Pv = partial pressure of water vapour = vapour pressure at dew point = 7.30 kPa
P = total pressure = 101.3 kPa
Now substituting the values:
H = 0.622 × (7.30 / (101.3 - 7.30))
H = 0.622 × (7.30 / 94.0)
H ≈ 0.622 × 0.07766
H ≈ 0.0482 kg water/kg dry air
Therefore, the correct answer is Option A: 0.048