How many alkanes of molecular weight $M$ are chiral?
As a particular case let us consider M=100.The general formula for such a alkane is $C_nH_{2n+2}$ where $n$ is the number of carbon atoms.
Putting in values of molecular weight we get $12n+2n+2=100$ which gives $n=7$. So there are 7 carbon atoms. So far I could think of the following two structures.
Since their enantiomers are also chiral giving us a total of 4 chiral alkanes. However I am interested in the general case when the molecular weight is given M. Is there some generalised result to the situation?