to find the k value base on delta G

Question

if delta G⁰ is 1.7 KJ/mole under standard condition what is K value? k=1 K>1, K<1, K=mc^2 or can not be estimated  

Answer 1

Arsineh,

 

The relationship between ΔG⁰ (the free energy change) and K (the equilibrium constant) is expressed by the equation

ΔG⁰ = -RTlnK.  

Whether ΔG⁰ is negative or positive indicates that the reaction is spontaneous or non-spontaneous, respectively.  In order for ΔG to be negative, then lnK must be positive, since both R and T are positive numbers.  When ΔG is positive, then lnK must be negative. In order for lnK to be negative,  K < 1.

Answer 2

k<1

delta G^o is the standard-state free energy. When this is negative, the reaction is spontaneous, therefore k is greater than one because more product is produced. When delta G^o is positive, the reaction is not spontaneous because it requires the input of energy at standard conditions. K is therefore less than one because the reaction favors the reactants. If delta G^o is 0, than the reaction is at equilibrium, and k must equal 1.