GATE ME 2021 Set 1 — Question 25
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Question
The relative humidity of ambient air at 300 K is 50% with a partial pressure of water vapour equal to . The saturation pressure of water at 300 K is . The correct relation for the air-water mixture is
Correct answer
(A) pᵥ = 0.5 pₛₐₜ
Solution
Relative humidity () is defined as the ratio of the partial pressure of water vapor () to the saturation pressure of water vapor () at the same temperature.Given:
Relative humidity () = 50% = 0.50
Partial pressure of water vapor =
Saturation pressure of water at 300 K = The formula for relative humidity is:
Substitute the given value of relative humidity:
Rearranging the equation to solve for :
Thus, the correct relation for the air-water mixture is .The final answer is
Relative humidity () = 50% = 0.50
Partial pressure of water vapor =
Saturation pressure of water at 300 K = The formula for relative humidity is:
Substitute the given value of relative humidity:
Rearranging the equation to solve for :
Thus, the correct relation for the air-water mixture is .The final answer is
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