Q$1.$

A polyethylene molecule has the degree of polymerization $n=50,000.$ The $C-$C bond in

polyethylene is $0\mathrm{.}133nm.$ Estimate

$($a$)$ the molecule length if the molecule is fully extended.

$($b$)$ The end$-$to$-$end distance of the molecule if it is in the melt state.

Note: Please don't use any artificial intelligence. I need hand written solution.