$5.*$ Using the results of problem $4,$ approximate the constant temperature process at $\backslash (600^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ as a polytropic process of a closed system, and obtain the value of the

constant exponent $\backslash ($ n $\backslash ).$ In a $\backslash ($ p$-$v $\backslash )$ diagram, show the data points of the constant temperature process for $\backslash (600^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ together with a smooth curve for the polytropic process that has the value of $\backslash ($ n $\backslash )$ you estimated. Discuss the results briefly. Ans: Not provided.

I added the image of my excel file for number $4\backslash$begin$\{$tabular$\}\{|$r$|$r$|$r$|$r$|\}$

$\backslash$hline Pressure $\backslash (\backslash$sim $\backslash$mathrm$\{$V$\}1(280)\backslash )$ & $\backslash (\backslash$mathrm$\{$V$\}2(440)\backslash )$ & $\backslash (\backslash$mathrm$\{$V$\}3(600\backslash )\backslash \backslash$

$\backslash$hline $7$ & $0\mathrm{.}3574$ & $0\mathrm{.}4667$ & $0\mathrm{.}5738\backslash \backslash$

$\backslash$hline $10$ & $0\mathrm{.}248$ & $0\mathrm{.}3257$ & $0\mathrm{.}4011\backslash \backslash$

$\backslash$hline $15$ & $0\mathrm{.}1627$ & $0\mathrm{.}216$ & $0\mathrm{.}2668\backslash \backslash$

$\backslash$hline $20$ & $0\mathrm{.}12$ & $0\mathrm{.}1611$ & $0\mathrm{.}1996\backslash \backslash$

$\backslash$hline $30$ & $0\mathrm{.}0771$ & $0\mathrm{.}1062$ & $0\mathrm{.}1324\backslash \backslash$

$\backslash$hline $40$ & $0\mathrm{.}05546$ & $0\mathrm{.}07872$ & $0\mathrm{.}09885\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$