$3\mathrm{.}53.$ Calculate the molar volume of saturated liquid and the molar volume of saturated vapor by the Redlich$/$Kwong equation for one of the following and compare results with values found by suitable generalized correlations.

$($a$)$ Propane at $40C$ where $P^{\text{s}\text{a}\text{t}}=13\mathrm{.}71$ bar

$($b$)$ Propane at $50C$ where $P^{\text{s}\text{a}\text{t}}=17\mathrm{.}16$ bar

$($c$)$ Propane at $60C$ where $P^{\text{s}\text{a}\text{t}}=21\mathrm{.}22$ bar

$($d$)$ Propane at $70C$ where $P^{\text{s}\text{a}\text{t}}=25\mathrm{.}94$ bar

$3\mathrm{.}10.$ Problems

$127$

$($e$)n-$Butane at $100C$ where $P^{\text{s}\text{a}\text{t}}=15\mathrm{.}41$ bar

$($f$)n-$Butane at $110C$ where $P^{\text{s}\text{a}\text{t}}=18\mathrm{.}66$ bar

$($g$)n-$Butane at $120C$ where $P^{\text{s}\text{a}\text{t}}=22\mathrm{.}38$ bar

$($h$)n-$Butane at $130C$ where $P^{\text{s}\text{a}\text{t}}=26\mathrm{.}59$ bar

$($i$)$ Isobutane at $90C$ where $P^{\text{s}\text{a}\text{t}}=16\mathrm{.}54$ bar

$($j$)$ Isobutane at $100C$ where $P^{\text{s}\text{a}\text{t}}=20\mathrm{.}03$ bar

$($k$)$ Isobutane at $110C$ where $P^{\text{s}\text{a}\text{t}}=\frac{24\mathrm{.}01}{b}ar$

$($l$)$ Isobutane at $120C$ where $P^{\text{s}\text{a}\text{t}}=28\mathrm{.}53$ bar

$($m$)$ Chlorine at $60C$ where $P^{\text{s}\text{a}\text{t}}=18\mathrm{.}21$ bar

$($n$)$ Chlorine at $70C$ where $P^{\text{s}\text{a}\text{t}}=22\mathrm{.}49$ bar

$($o$)$ Chlorine at $80C$ where $P^{\text{s}\text{a}\text{t}}=27\mathrm{.}43$ bar

$($p$)$ Chlorine at $90C$ where $P^{\text{s}\text{a}\text{t}}=33\mathrm{.}08$ bar

$($q$)$ Sulfur dioxide at $80C$ where $P^{\text{s}\text{a}\text{t}}=\frac{18\mathrm{.}66}{b}ar$

$($r$)$ Sulfur dioxide at $90C$ where $P^{\text{s}\text{a}\text{t}}=23\mathrm{.}31$ bar

$($s$)$ Sulfur dioxide at $100C$ where $P^{\text{s}\text{a}\text{t}}=28\mathrm{.}74$ bar

$($t$)$ Sulfur dioxide at $110C$ where $P^{\text{s}\text{a}\text{t}}=35\mathrm{.}01$ bar

$($u$)$ Boron trichloride at $400K$ where $P^{\text{s}\text{a}\text{t}}=\frac{17\mathrm{.}19}{b}ar$ For $BC{l}_3,T_c=452K,P_c=\frac{38\mathrm{.}7}{b}ar,$ and $=0\mathrm{.}086.$

$($v$)$ Boron trichloride at $420K$ where $P^{\text{s}\text{a}\text{t}}=23\mathrm{.}97$ bar

$($w$)$ Boron trichloride at $440K$ where $P^{\text{s}\text{a}\text{t}}=32\mathrm{.}64$ bar

$($x$)$ Trimethylgallium at $430K$ where $P^{\text{s}\text{a}\text{t}}=13\mathrm{.}09$ bar For $Ga(C{H}_3{)}_3,T_c=510K,P_c=\frac{40\mathrm{.}4}{b}ar,$ and $=0\mathrm{.}205.$

$($y$)$ Trimethylgallium at $450K$ where $P^{\text{s}\text{a}\text{t}}=18\mathrm{.}27$ bar

$($z$)$ Trimethylgallium at $470K$ where $P^{\text{s}\text{a}\text{t}}=24\mathrm{.}55$ bar