What is the value of Kc for this reaction at 298 K?

Question

In glycolysis, the hydrolysis of ATP to ADP is used to drive the phosphorylation of glucose (GLC):

GLC + ATP <--> ADP + GLC -- 6 -- phosphate

∆G°= -17.7 kJ

What is the value of K_c for this reaction at 298 K?

Answer 1

∆Gº = -RT ln K

∆Gº = -17.7 kJ

R = 8.314 J/Kmol = 0.008314 kJ/Kmol

T = 298K

-17.7 = -(0.008314)(298) ln K

-17.7 = -2.48 ln K

ln K = 7.14

K = 1261