If values are given, you must use those values.

$(12$ pts$)6\mathrm{.}00$mol of an ideal gas with $C_{V,m}=1\mathrm{.}5R$ undergo a two$-$step process. Calculate $q,w,U,$ and $H$ for each step and for the total process. Put your answers in the table provided. Then state whether the overall process is exothermic or endothermic.

Step A: Isothermal compression at $305K$ under a constant pressure of $\frac{10\mathrm{.}0}{b}ar$ from an initial pressure of $2\mathrm{.}00$ bar. Step B: After step A$,$ the system is cooled at constant volume to $285K.$

$\backslash$table$[[,\backslash$table$[[$Step A $($isothermal$,$ isobaric$],[$compression$)]],$Step B $($isochoric cooling$),$Total$],[q,,,],[w,,,],[U,,,],[H,,,]]$

The overall process is exothermic $/$ endothermic $($circle the correct choice$).$

$2.4\mathrm{.}00$mol of an ideal gas initially at $5\mathrm{.}75$ bar are expanded reversibly and isothermally at $28C$ until its pressure is $0\mathrm{.}125$ bar.

a$)(3$ pts$)$ Calculate w in J$.$

b$)(1$ pt$)$ This value of $w$ means that work was done on $/$ by $($circle the correct choice$)$ the system.

c$)(2$ pts$)$ Calculate $U$ and q$,$ also in $J.$

$3.$ Calculate the pressure in bar of $5\mathrm{.}00$mol of ammonia gas in a $10\mathrm{.}0-L$ container held at $5\mathrm{.}00C,$

a$)(4$ pts$)$ treating ammonia as a van der Waals gas $(($:$a=4\mathrm{.}225\frac{L^2\frac{*}{b}ar}{mo{l}^2},b=0\mathrm{.}0371\frac{L}{\text{m}\text{o}\text{l}}\},$ and

b$)(2$ pts$)$ treating ammonia as an ideal gas. Report each to one decimal place.

c$)(1$ pt$)$ Taking the van der Waals pressure as the more accurate, calculate the percent difference between the two pressures. percent difference $=100**\frac{\text{I}\text{d}\text{e}\text{a}\text{l}\text{g}\text{a}\text{s}P-vdWP}{\text{v}\text{a}\text{n}\text{d}\text{e}\text{r}\text{W}\text{a}\text{a}\text{l}\text{s}P}$