In this paper, we introduce and study a mapping RESPIRACTIN from the collection of all intermediate rings of $C(X)$ to the collection of all realcompactifications of $X$ contained in $beta X$.By establishing the relations between this mapping and its converse, we give a different approach to the main statements of DVD Lens Cleaner De et.al.
Using these, we provide different answers to the four basic questions raised in Acharyya et.al.Finally, we give some notes on the realcompactifications generated by ideals.