For each questions below, show your complete solution and explanation

$1.$ Convert the following unit $8\mathrm{.}314{10}^{-2}\frac{\frac{m^3}{b}ar}{kmol{K}_K}$ to $\frac{\frac{m^3}{b}ar}{\text{k}\text{m}\text{o}\text{l}F}$

$g^{**})$ A constant is needed for one of the formulas you are working with but you can only find it reported as $82\mathrm{.}057\frac{c{m}^3.\text{a}\text{t}\text{m}}{\text{m}\text{o}\text{l}\text{.}.K}$ Convert this to the more useful units of $\frac{kJ}{\text{k}\text{m}\text{o}\text{l}\text{.}K}.$

$4*.$ The table below shows the total population of New Zealand since the turn of the century $(2000).$ Each year the population is recorded at the end of the year. Interpolate the population for $NZ$ at $11$ years between years $10$ and $12.$ Use the interpolation formula below.

$\backslash$table$[[$Year since $2000,$Population$],[0,3,873,100$