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Calculate the molar mass of a substance...

Calculate the molar mass of a substance `1 g` of which when dissolved in `100 g ` of water gave a solution boiling at `100.1^(@)C` at a pressure of 1 atm `(K_(b)` for water `= 0.52 K kg mol^(-1))`

Text Solution

Verified by Experts

The given values are
`W_(B) = 1 g` ,
`K_(b) = 0.52 K kg mol^(-1)`
`W_(A) = 100 g`
`DeltaT_(b) = 100.1 - 100 = 0.1 `
Using the equation
`Mw_(B) = (K_(b) xx W_(B))/(DeltaT_(b) xx W_(A))`
substituting all values, we get
`:. Mw_(B) = (0.52 xx 1 xx 1000)/(0.1 xx 100 g) = 52`
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