Question

9. At 50°C, a liquid solution composed of A (with a mole fraction of 0.28) and B has a total vapor pressure of 182 torr and a partial pressure of A of 62 torr. The vapor pressure of pure liquid A is 254 torr and that of pure liquid B is 169 torr. (a) Calculate the activity and the activity coefficient of each component of the liquid based on the Raoult's Law. (b) Calculate the Henry's law constant of A assume that A follows Henry's law.

Answer 1

At 50'e, a liguiol selutioneompesed of A (i a mele fnaetion of 0.28) and B has a fotal apon pressune of 18 toPp and a partial pressune ot A of 62 torn.The apon pressupe ot pupe liquid A is 254 foee and hat of pune B liquiol is 169 form, la) Cal culate e activiky and *he activity eoeficient of each eompeneat of Ligulel based en the Rault's Law. (b calenlate e Henny's faw s y is 16 22 23 eonstant e A assume that A follous Henry's law. Ans Let, tofal pnessune or the solution P = 182 Jon The pantial Pessune of liquid A is Pa 62 fom 71e mole frachion ot A tiguid is , = 0.28 The vapon pressune ot pune liguid A is P 254 fonm The vapour PRessune o pure Liuid is P 169 tomm mele tnattion of 8 iquid is B The We know tPom Raulk's Law, Pgis pantial PR- Pr-PA Pressune ot Pe-82-62)topp lizuid 8. 120 tomp Now we allo know, 0.28-3= i 8-L-0.29 g- 0.72

Fpon Ranll's Law we also as a aclivily of iauid ok pantinl pnene ot . eomponeut is egual to nakio vapon pressuna of Ma pune opound in golation d 7e ackivity of kiuid A 1s aA PA OA 62 - 0.209 254 A Tle ativity of liuid B is a 120 0.71 169 Nou he activity eo etieient i ai The activity co etitient ot A linuid is Na 0-244 YA A 0.871 0.28 Te activity eoehieiet ot 8 liquid is g 0.71 0.72 . Ye: - :. The activityot igid A is 0.244 and acitivity cocatiei ent is 0.271. 7 aetiviky o Lizuid B is 0.71 ad activity eoetiei eut is 0.9 26

trom Henmy's Law Ne vnow KAMA PA is pantial pessupe of Liquid A. 62- Kx D.28 KA is Henmy's law eonstat o Liguid A 6 2 tonn 0.29 KA= RA is 2e mole fnoetion of Liquid A KA-221.42 toPp Henny's aw eonstaut ot Liquid A is 221.42 town