X-alkanes

Define a class of organic compounds namely $\text{X}$ - alkanes - $n$ where $\text{X}$ is a functional group. Basically such compounds contain a straight chain alkane (i.e. with no branching ) with $n+2$ carbon atoms and one of hydrogen atoms on each of carbons except the terminal ones are replaced by the $\text{X}$ functional group.

Therefore, $\text{Cl}$ - alkane - $2$ is basically $2,3 -$ dichloro butane and $\text{OH}$ - alkane - $3$ is $2,3,4 -$ trihydroxy pentane.

Now, $\text{COOH}$ - alkane - $N$ is treated with excess $\text{AgNO}_3$ to give $0.1$ moles of a salt which gives about $54 \text{ g}$ of white coloured residue.

Estimate the molar weight of $\text{Br}$ - alkane - $N$ in grams.

Details and Assumptions:

• The molar weights of $\text{C}$ , $\text{H}_2$ , $\text{O}_2$ and $\text{Br}_2$ are $12, 2, 32$ and $160$ grams, respectively.