Question

What is the best method two immiscible liquids from their mixture having boiling points 293k and 313k

Answer 1

Please try to post the complete question so that we can answer correctly.

An  immiscible liquid is one, which does not dissolve in other liquid . it forms a layer over the other liquid.
For example : oil and water
As the question says method of separating , the immiscible liquids can be separated by the method of separating Funnel.
so temperature is not required. 

If the question is about two miscible liquids  which have their B.P  less than 25°C then we use Fractional distillation.