Write a VBA user$-$defined function to convert a mole

fraction $(x)$ into a mass fraction $($w$)$ for one species of a

multi$-$component system. The general formula is:

$w_A=\frac{x_A{M}_A}{{\displaystyle \underset{i}{\overset{?}{}}}{x}_i{M}_i}$

MW is the associated molecular weight, and the

summation involves each species $($i$)$ in the mixture.

$($a$)$ For a binary system of n$-$propanol in water: determine

the mass fractions of $n-$propanol $($to $3$ decimal places$)$ for

mixtures with these mole fractions, also of n$-$propanol:

$x_A=0,0\mathrm{.}100,0\mathrm{.}225,0\mathrm{.}400,0\mathrm{.}575,0\mathrm{.}715,0\mathrm{.}850,0\mathrm{.}925,1\mathrm{.}00$

$($b$)$ Plot the results in part $($a$)$ with the mass fraction of $n-$

propanol shown as a function of n$-$propanol mole

fraction for the binary system.

$($c$)$ Display the entire VBA code resulting from your

programmed user function. Include your name as a

comment.