In: Chemistry
c. For this reaction in heart muscle, ΔG°’ = +4.7 kJ/mol but ΔG = -0.6 kJ/mol. i. Explain, in words, how ΔG can be negative when ΔG°’ is positive. ii. What would be the ratio of 3PG to 2PG if the reaction were at equilibrium at 25°C? iii. What is the actual ratio of 3PG to 2PG in heart muscle (T = 37°C)?
Given ΔG°’ = +4.7 kJ/mol = 4700 J/mol and ΔG = -0.6 kJ/mol = -600 J/mol
We know that ΔG = ΔG° - RT lnK
= ΔG°’ - RT lnK
= (+ve) - ( (+ve)(+ve) (+ve))
= +ve -(+ve)
= -ve
(ii) ΔG = ΔG° - RT lnK
Where R = gas constant = 8.314 J/(mol-K)
T = Temperature = 25 oC = 25+273 = 298 K
Plug the values we get
600 = 4700 -(8.314x298 x ln K)
ln K = 1.65
K = e1.65 = 5.23
3PG <----> 2PG
But Equilibrium constant , K = [PG]2 / [PG]3 = 5.3
Simillarly the third one