$1.$ The elementary reversible gas$-$phase reaction A$+$B $<->2$C is to be carried out in a PFR$.$ The feed contains only A and B in the stoichiometric proportions at $580\mathrm{.}5$ kPa and $77\backslash$deg C$.$ The molar feed rate of A and B is $20$ mol$/$s$.$Determine the plug flow reactor volume. Additional parameters YA$0=$YB$0=0\mathrm{.}5,$ k $=0\mathrm{.}035$ dmo$/$mol$.$min at $273$ K E $=70000$ J$/$mol Thermodynamic parameters at $25\backslash$deg C $,$HA$=-40$ kJ$/$mol CpA $=25$ J$/$mol$.$K HB$=-30$kJ$/$mol CpB $=15$J$/$mol$.$K HC$=-45$kJ$/$mol Cpc $=20$J$/$mol K Kc $=25000$ at $25\backslash$deg C