GATE ME 2016 Set 2 — Question 57
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Thermodynamics → Refrigeration & Air Conditioning → Psychrometric Chart & Moist Air
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Question
The partial pressure of water vapour in a moist air sample of relative humidity is kPa, the total pressure being kPa. Moist air may be treated as an ideal gas mixture of water vapour and dry air. The relation between saturation temperature ( in K) and saturation pressure ( in kPa) for water is given by , where kPa. The dry bulb temperature of the moist air sample (in C) is __________
Correct answer
19.5 to 19.9
Solution
Given:
Relative humidity,
Partial pressure of water vapour, kPa
Total pressure, kPaThe relative humidity is defined as the ratio of the partial pressure of water vapour to the saturation pressure of water vapour at the dry bulb temperature ():Using the provided empirical relation to find the dry bulb temperature :Converting the temperature to Celsius:Thus, the dry bulb temperature is approximately C.
Relative humidity,
Partial pressure of water vapour, kPa
Total pressure, kPaThe relative humidity is defined as the ratio of the partial pressure of water vapour to the saturation pressure of water vapour at the dry bulb temperature ():Using the provided empirical relation to find the dry bulb temperature :Converting the temperature to Celsius:Thus, the dry bulb temperature is approximately C.
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