Question

The best method used to separate two immiscible liquid s from their mixture having boiling points 293 k and 313 k is

Answer 1

Well , if you want to separate the immiscible liquid on temperature bases from mixture the best method is "fraction distillation" it's the process of separating the mixture from mixture.

Just take the mixture in the flask heat it on the electrical heater up to a temperature based upon the boiling temperature of the liquid which have lower boiling point.

The liquid with lower boiling point is evaporated in the first stage  which passes through a condenser and change it again in to pure liquid  and collected in beaker. 

This way other liquid will remain in the flask.

This is how two liquids are separated.