1.

Given are the followingstandardfreeenergies of formation at 293 K. Delta_(f)G^(@) //kJ mol^(-1)""underset(-137.17)(CO(g))""underset(-394.36)(CO_(2)(g))""underset(-228.57)(H_(2)O(g))""underset(-237.13)(H_(2)O(l))""underset("zero")(H_(2)(g))(a)Find Ddelta_(r)G^(@)and the standardequilibriumconstantK_(p)^(0)at 298 K for thereaction""CO(g)+ H_(2)O(g) iffCO_(2)(g) +H_(2)(g) (b) If CO, CO_(2) and H_(2)are mixedso thattheparticalpressureof eachis 101.325 kPaand themixture is broughtinto contactwithexcess of liquidwater,whatwill bethepartialpressure ofgas when equilibrium is attained at 298 K. Thevolumeavailableto the gases is contant .

Answer»


Solution :(i) `DeltaG^(@) = - 394.36 - [ -137.17 -228.57]`
`= - 28.62`
`= - 2.303 RT logK_(p)`
`K_(p)= 1.047 xx 10^(5)`
`By ""H_(2)O(L) hArr H_(2)O(g)`
`DeltaG^(@) = - 228.57 + 237.13`
` = 8.56 = RT InK_(p)`
`K_(p) = 0.0316 "BAR"`
`P_(H_(2)O) (g) = 3.16pa`
`underset("at eq.pressureX") underset("Initial pressure (101.325)")(CO) + underset(3.16 KPA)underset((3.16 kpa))(H_(2)O(g))""hArr""underset(202.65 kpa)underset((101.325))(CO_(2)) + underset(202 .65 kpa)underset((101.325))(H_(2))`
`1.047 xx 10^(5) =(202.65)^(5)/(X xx3.16)`
`X = 0.124kPa`


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