Styrene gas at $600$ K and $50$ bar is throttled in a steady$-$state flow process to $2$ bar. Calculate, using

Lee$/$Kesler correlations, the temperature of the gas at the final pressure. You may assume the gas is

ideal at the final pressure. The following are the properties of styrene:

Heat capacity $($C P $)=217\mathrm{.}6$ J mol$-1$ K $-1($assumed constant over the temperatures of interest$)$

Critical temperature $($T C $)=636\mathrm{.}0$ K

Critical pressure $($P C $)=38\mathrm{.}4$ bar

Acentric factor $()=0\mathrm{.}297$

Excerpts from the Lee$/$Kesler generalised$-$correlation tables are given on the following pages. You may

assume the process is adiabatic and potential$/$kinetic energy changes are negligible.