A solute S undergoes a reversible trimerization when dissolved in a certain solvent . The boiling point elevation of its `0.1` molal solution was found to be identical to be boiling point elevation in case of a `0.08` molal solution of a solute which neither undergoes association nor dissociation. To what percent had the solute S undergoes trimerization ?

Options

A. 30%
B. 40%
C. 50%
D. 60%

Answer

A

Explanation

`underset(1)(3S)hArrunderset0(S_3)`
`1-alpha " " alpha/3implies i=1-(2alpha)/3`
Now 0.1 `(1-(2alpha)/3)=0.08 implies alpha=0.3` Hence 30% trimerization