The freezing point of a solution containing `50 cm^(3)` of ethylene glycol in `50 g` of water is found to be `-34^(@)C`. Assuming ideal behaviour, Calculate the density of ethylene glycol `(K_(f)` for water = `1.86 K kg mol^(-1)`).

Options

A. `1.24`
B. `1.43`
C. `1.133`
D. `1.23`

Answer

D

Explanation

`V=50 cm^(3)` (for ethylene glycol)
Let density of ethylene glycol be d
Wt of ethylene glycol `(w_(1))=50xxd`
Wt of water `w_(2)=500g`
`DeltaT_(f)=(K_(t)xxw_(1)xx1000)/(m_(1)xxw_(2))`
`rArr 34=(1000xx1.86xx50xxd)/(62xx50)`
`:.d=1.33g//cm^(3)`.
Hence, (D) is the correct answer.