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Sample exercises

University · Biochemistry

For Vmax=10, Km=2 and substrate concentration 2 in consistent units, find rate.

Answer and explanation

5

v=10×2/(2+2)=5.

University · Biochemistry

At [S]=Km, the Michaelis-Menten rate is what fraction of Vmax?

  1. Zero
  2. 1
  3. 1/2
  4. 2
Answer and explanation

1/2

Substitute [S]=Km into the model.

University · Biochemistry

Does an enzyme change the equilibrium constant of the same reaction at the same conditions?

  1. Only when substrate is absent
  2. No
  3. Only when it is large
  4. Yes, always doubles it
Answer and explanation

No

Catalysis changes rates, not the thermodynamic equilibrium constant.

University · Biochemistry

With Vmax=12,Km=3,[S]=9 in consistent units, find rate.

Answer and explanation

9

12×9/(3+9)=9.

University · Biochemistry

Why can increasing substrate eventually produce only a small rate increase?

Answer and explanation

In the model, the rate approaches Vmax as substrate greatly exceeds Km, reflecting saturation behaviour.

Credit asymptotic saturation under the model.

University · Biochemistry

Which statement about Km is appropriately qualified?

  1. It must be negative
  2. It is always dimensionless
  3. Its interpretation depends on the kinetic mechanism
  4. It is always exactly a binding dissociation constant
Answer and explanation

Its interpretation depends on the kinetic mechanism

Mechanistic assumptions determine how Km relates to other constants.

Study notes

Michaelis-Menten model rate

Assume the stated steady-state model applies; Vmax and v share units, and Km and substrate concentration share units.

University