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The following reaction is carried out on an industrial scale for the production of thionyl chloride, a chemical used in the manufacture of pesticides.
SO3(g) + SCl2(l)OSCl2(l) + SO2(g)
The thermodynamic data listed below are for 298 K. Use these data and data from Appendix C to determine the temperature at which Keq = 1.0×1015 for the reaction.
First, find Go from Hof and So data. Then use Go = RTlnKeq = Ho TSo to find the required temperature.
= 296.8 kJ/mol
Hof(SO3(g)) = 395.7 kJ/mol
Hof(SCl2(g)) = 50.0 kJ/mol
Hof(OSCl2(g)) = 245.6 kJ/mol
Ho = [245.6 + 296.8] [395.7
+ 50.0] = 96.7 kJ
So(SO2(g)) = 248.1 J/molK
Sof(SO3(g)) = 256.6 J/molK
Sof(SCl2(g)) = 184 J/molK
Sof(OSCl2(g)) = 121 J/molK
So = [121 + 248.1] [256.6 + 184] = 72 J/K
(8.314)Tln(1.0×1015) = 96700 T(72)
287T = 96700 + 72T
359T = 96700
T = 269 K (= 4 oC)