0 = G 0 - RT ln K G = -RT ln K ln K = G/-RT is that correct? the right side shou

Question

0 = G0 - RT ln K
G = -RT ln K
ln K = G/-RT

is that correct? the right side should be negative,correct? because i need a value for Ksp (for AgCl) and i keepcoming up with a hugely positive answer and i know the answer is1.8*10-10. i feel like i am making a mistake witha negative here, because if i just leave the whole right sidepositive, i come up with the right answer. But the -55584 isdefinitely right, can anyone see what i am doing wrong?

ln K = (-55584 Jmol-1) /(-8.31Jmol-1K-1 )(298K)
ln K = 22.4
e 22.4 = 5.3*10 9   no!!!

please help!

Explanation / Answer

    We Know that :     The Reaction is :         Ag+(aq.) + Cl- (aq.)   -------> AgCl(s)     Grxn. = Gprod. - Greac.                  = - 109.79 KJ / mol - ( 77.11 + (-131.23) ]KJ / mol                   =   - 55.67 KJ / mol WE Know that For the Calculation of Ksp weconsider the decompositiion of AgCl so the Reverse Reactionis favoured.           AgCl (s) < ---------> Ag+ + Cl-               G = + 55.67 KJ / mol               G = + 55.67 KJ / mol                   We Know that :           G = - 2.303 x R x T x log K           +55.67 * 103 J / mol   = -2.303 x 8.314 J / mol-K x 298 K x log K                     K =   1.751 x 10-10          

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