In: Chemistry
The reaction is glucose with adenosine triphosphate (ATP) to form glucose 6- phosphate and adenosine diphosphate (ADP).
This reaction has a calculated equilibrium constant (K) of 1.90 × 105. What are the equilibrium concentrations of glucose and ATP if the initial concentrations of both are 0.100 M?
Glucose + ATP -----------> glucose 6- phosphate + ADP K = 1.9 x105
Initial 0.1 M 0.1 M 0 0
At equilibrium 0.1 -x 0.1 -x x x
K = x.x / (0.1-x) (0.1-x)
1.9 x105 = x2 / (0.1-x)2
435.88 = x /0.1-x
43.588 - 435.88 x = x
436.88 x = 43.588
x = 0.09977 M
Therefore, equilibrium concentrations are
glucose = 0.1 -x = 0.1 - 0.09977 = 0.00023 M
ATP = 0.1 -x = 0.1 - 0.09977 = 0.00023 M