$P=4(\frac{M}{2KT}{)}^{\frac{3}{2}}{V}^2{e}^{\frac{-M{V}^2}{2KT}}$

$Tb=73g^{34}lnP+\sqrt[5]{449}$

Where p is the "atmospheric pressure" in inches of mercury, Tb is the "boiling temperature" $M=5\mathrm{.}3{10}^{-26}$;$,K=1\mathrm{.}38{10}^{-23}$;$,V=120$; the user has to enter these values.

a$)$ Write a MATLAB program to calculate P$1,$ Tb$1$ when $300T11000$ with $20$ samples and P $2,$ Tb$2$ when $80T2100$ with $20$ samples.$[5$ marks$]$

b$)$ Display a table in the command window that should have atmospheric pressure and boiling temperature for every temperature value with proper heading. $[$T$1->$first column, P$1$ second, Tb $1$ third, T$2$ forth then P$2$ and last column Tb$2][2$ marks$]$

c$)$ Plot all the T vs P plots $($T$1$ vs P$1-$ normal plot and T$2$ vs P$2-$stem like plot$)$ and T vs Tb $($T$1$ vs Tb$1$ and T$2$ vs Tb$2-$semi logarithmic axis of y$)$ plots with a perfect graphical method.$[3$ marks$]$