A solution of glycerol `(C_(3)H_(8)O_(3))` in water was prepared by dissolving some glycerol in 500 g of water . This solution has a boiling point of `100.42 ^(@)C` . what mass of glycerol was dissolved to make this solution ? (`K_(b)` for water = `0.512` K kg `mol^(-1)`)

Explanation

To find the mass of glycerol dissolved in the water, we can follow these steps:

### Step 1: Calculate the elevation in boiling point
The boiling point of pure water is 100°C. The boiling point of the solution is given as 100.42°C.

\[ \text{Elevation in boiling point} = \text{Boiling point of solution} - \text{Boiling point of water} = 100.42°C - 100°C = 0.42°C \]
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