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 17.5mm of mercury is `20^(@)C` and at 8.9mm of mercury is `10^(@)C`.

Explanation

To solve the problem of calculating the relative humidity in the room, we will follow these steps:

### Step 1: Understand the Given Data
- The temperature of the water in the glass is initially at \(20^\circ C\).
- Refrigerated water is added until the temperature of the glass reaches \(10^\circ C\).
- At \(20^\circ C\), the saturation vapor pressure (SVP) is \(17.5 \, \text{mm Hg}\).
- At \(10^\circ C\), the saturation vapor pressure is \(8.9 \, \text{mm Hg}\).

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