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Question

A glass contains some water at room temperature 20C. Refrigerated water is added to it slowly.  When the temperature of the glass reaches 10C, small droplets condense on the outer surface.  Calculate the relative humidity in the room.  The boiling point of water at a pressure of 17.5 mm of mercury is 20C and at 8.9 mm of mercury it is 10C.
  1. 60%
  2. 51%
  3. 35%
  4. 75%


Solution

The correct option is B 51%
Given 
SVP at the dew point = 8.9 mm     SVP at room temp = 17.5 mm
Dew point =10C as at this temp.  the condensation starts
Room temp =20C
RH=SVP at dew pointSVP at room temp=8.917.5=0.508=51%

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