Hello, I\'m having trouble with this one. I get ?G=397.108 and -?G/RT = 1.13x10^

Question

Hello,

I'm having trouble with this one. I get ?G=397.108 and -?G/RT = 1.13x10^-43, but I don't know where to go to from there. Any help is appreciated. Thanks!

Carbon disulfide is a foul-smelling solvent that dissolves sulfur and other nonpolar substances. It can be made by heating sulfur in an atmosphere of methane. For the reaction (below), r-760.4 kJ/mole of S8 and S -12 19.1 J/(K·mole of S8). Calculate the equilibrium constant at 210.00 and at 420.00°C. Number K at 210.00°C: K at 420.00°C: | Number

Explanation / Answer

G° = H°- TS°

G° = 760400 - 298*1219.1 = 397108.2 J at 298 K

G = -RT*lnK

K = exp(G/(-R*T))

K = (exp(397108.2 /(-8.314*298))) = 2.4590*10^-70

NOTE, since there is no data on K or H,S for such T, assume H and S are constant with respect to T

then

G(210°C)

T = 210+273 = 483

then

G = 760400 - 483*1219.1 = 171574.7 J at 483K

K = exp(G/(-RT))

K = exp(171574.7 /(-8.314*483)) =2.780795*10^-19

G(420°C)

T = 210+420= 630

then

G = 760400 - 630*1219.1 = -7633 J at 630(which is spontanous)

K = exp(G/(-RT)) =

K = exp(-7633 /(-8.314*630)) = 4.2942

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