The enzyme phosphohexose isomerase catalyzes the interconversion glucose 6-phosphate and fructose 6-phosphate. given that the δg'° for the reaction below is +1.72 kj/mol, what is ratio of glucose 6-phosphate to fructose 6-phosphate at equilibrium? (r = 8.315 j/mol·k; t = 298 k) glucose 6-phosphate → fructose 6-phosphate a) 1: 1. b) 1: 2 c) 1: 3 d) 2: 1 e) 3: 1.

The correct answer is option D.

Explanation:

The chemical equation for the conversion follows:

The expression for of above equation is:

where,

= standard Gibbs free energy = 1.72 kJ/mol = 1720 J/mol  (Conversion factor: 1kJ = 1000J)

R = Gas constant = (given)

T = temperature =298K

Putting values in above equation, we get:

The ratio of glucose 6-phosphate to fructose 6-phosphate at equilibrium :