$50$ pointsL$=1$m and d$=0\mathrm{.}15$m $-50\backslash$deg C$.$ Evaluate the pressure exerted by the CO gas using $($a$)$ the ideal gas equation of state, $($b$)$ the generalized compressibility equation and $($c$)$ the Van der Waals equation. Calculate the average percent error on the pressure using the following equation

Error $=(100\%)($P$\_($real $)-$P$\_($ideal $))/($P$\_($real $))$

Available data set and compressibility chart.

M$=28\mathrm{.}011$K$($g$)/($k$)$mol$,$R$=0\mathrm{.}2968$k$.($J$)/($K$)$g$.$K$,$T$=-50+273$K$=223$K

T$\_($c$)=-140\backslash$deg C$=133$K$,$P$\_($r$)=3\mathrm{.}50$MPa,v$\_($c$)=0\mathrm{.}0930($m$^(3))/($K$)$g

$($a$)1\mathrm{.}1$ The ideal equation of state $($EOS$)$ yields the pressure as

a$.$ P$=11\mathrm{.}06$MPa

b$.$ P$=11\mathrm{.}06$kPa

c$.$ P$=23\mathrm{.}57$MPa

d$.$ None of the above

$($b$)1\mathrm{.}2$ From the generalized compressibility chart, verify that v$\_($r$)=0\mathrm{.}31$ by marking a visible dot on it

a$.$ Done correctly

b$.$ Done incorrectly

$1\mathrm{.}3$ From the compressibility chart, the corresponding pressure is

a$.$ P$=10\mathrm{.}82$MPa

b$.$ P$=21\mathrm{.}34$kPa

c$.$ P$=18\mathrm{.}90$MPa

d$.$ None of the above

$1\mathrm{.}4$ Using the compressibility equation yields the pressure as

a$.$ P$=16\mathrm{.}89$MPa

b$.$ P$=14\mathrm{.}23$kPa

c$.$ P$=11\mathrm{.}58$MPa

d$.$ None of the above

$1\mathrm{.}5$ The compressibility average pressure value is

a$.$ P$=17\mathrm{.}90$MPa

b$.$ P$=11\mathrm{.}56$kPa

c$.$ P$=15\mathrm{.}69$MPa

d$.$ None of the above

$1\mathrm{.}6$ The percent pressure error related to the average pressure

a$.$ error $=38\mathrm{.}21\%$

b$.$ error $=18\mathrm{.}65\%$

c$.$ error $=12\mathrm{.}77\%$

d$.$ None of the above

$($c$)1\mathrm{.}7$ Using the Van der Waals equation, the pressure is

a$.$ P$=17\mathrm{.}37$MPa

b$.$ P$=18\mathrm{.}43$kPa

c$.$ P$=16\mathrm{.}45$MPa

d$.$ None of the above

$1\mathrm{.}8$ The percent pressure error related to the average pressure

a$.$ error $=36\mathrm{.}33\%$

b$.$ error $=25\mathrm{.}67\%$

c$.$ error $=15\mathrm{.}43\%$

d$.$ None of the above

$1\mathrm{.}9$ The carbon monoxide $($CO$)$ gas at T$=-50\backslash$deg C deviates significantly from ideal gas behavior.

a$.$ True

b$.$ False

$1\mathrm{.}10$ At a temperature of $223$ K $,$ carbon monoxide $($CO$)$ gas deviates from ideal gas behavior primarily due

to effects of intermolecular forces and the finite volume of gas molecules.

a$.$ True

b$.$ False