Question

In: Chemistry

The reaction is glucose with adenosine triphosphate (ATP) to form glucose 6- phosphate and adenosine diphosphate...

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?

Solutions

Expert Solution

       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

         


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