$(2)(5$ pts$)$ An ideal di$-$atomic gas has a pressure of $1\mathrm{.}10$ atm $,$ temperature of $\backslash (38\mathrm{.}0^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ and volume of $\backslash (3\mathrm{.}00\backslash$mathrm$\{$~m$\}^\{3\}\backslash ).$

It undergoes the following two steps:

$\backslash (\backslash$mathrm$\{$A$\}->\backslash$mathrm$\{$B$\}\backslash )$ : increases pressure at a constant volume until the pressure doubles.

$\backslash (\backslash$mathrm$\{$B$\}\backslash$rightarrow $\backslash$mathrm$\{$C$\}\backslash )$ : contracts isothermally until its volume is cut in half $.($and its pressure increases$)$

$($i$)(1$ pts$)$ Draw a p$-$V diagram showing the two steps $($only has to be qualitatively correct$)$

$($ii$)(2$ pts$)$ Find the Temperature at each point A$,$ B$,$ and C$.$

$($iii$)(2$ pts$)$ For $\backslash (\backslash$mathbf$\{$B$\}->\backslash$mathbf$\{$C$\}\backslash )$ find work done, heat exchanged and change in internal energy