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The relative humidity of ambient air at 300 K is 50% with a partial pressure of water vapour equal to pv . The saturation pressure of water at 300 K is psat. The correct relation for the air-water mixture is 
  • a)
     pv = psat
  • b)
    pv = 0.622 psat
  • c)
    pv = 0.5 psat
  • d)
    pv = 2 psat
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The relative humidity of ambient air at 300 K is 50% with a partial pr...
Explanation:

Partial Pressure of Water Vapor (pv):
- The partial pressure of water vapor (pv) is the pressure exerted by water vapor in a mixture of air and water vapor.
- Given that the partial pressure of water vapor in the ambient air at 300 K is equal to pv.

Saturation Pressure of Water (psat):
- The saturation pressure of water (psat) is the maximum pressure that water vapor can exert at a given temperature.
- At 300 K, the saturation pressure of water vapor is denoted as psat.

Relative Humidity and its Relation:
- Relative humidity is the ratio of the partial pressure of water vapor to the saturation pressure of water at a given temperature.
- Mathematically, relative humidity (RH) = (pv / psat) x 100%
- Given that the relative humidity of ambient air at 300 K is 50%, we can write this as 50 = (pv / psat) x 100

Correct Relation:
- From the above equation, we can rearrange it to find pv in terms of psat.
- 50% RH is equivalent to 0.5, so we have: 0.5 = (pv / psat)
- Therefore, the correct relation for the air-water mixture is pv = 0.5 psat.
Therefore, the correct answer is option 'C' - pv = 0.5 psat.
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Community Answer
The relative humidity of ambient air at 300 K is 50% with a partial pr...
Given : Relative humidity = 50% 
Relative humidity = pv / psat

Hence, the correct option is (C). 
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The relative humidity of ambient air at 300 K is 50% with a partial pressure of water vapour equal to pv . The saturation pressure of water at 300 K is psat. The correct relation for the air-water mixture isa)pv = psatb)pv = 0.622 psatc)pv = 0.5 psatd)pv = 2 psatCorrect answer is option 'C'. Can you explain this answer?
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