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Question

# A glass contains some water at room temperature 20∘C. Refrigerated water is added to it slowly. When the temperature of the glass reaches 10∘C, 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 20∘C and at 8.9 mm of mercury it is 10∘C.

A
60%
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B
75%
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C
51%
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D
35%
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Solution

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

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