For an enzyme that follows
simple Michaelis–Menten kinetics, what is the value of Vmax
if V0 is equal to 1 mmol minute−1 when [S] = 1/10 KM
I keep getting 11 for the answer but the answer key in my book says 1.1 umol. what am i doing wrong?
Typo....... maybe the author meant 100 mmole minute -1
To determine the value of Vmax, you need to use the information provided in the question: V0 = 1 mmol minute^(-1) when [S] = 1/10 KM.
In the Michaelis-Menten equation, V0 = (Vmax * [S]) / (KM + [S]), where [S] represents the substrate concentration, KM is the Michaelis constant, and Vmax is the maximum reaction rate.
When [S] = 1/10 KM, we can substitute these values into the equation:
1 mmol minute^(-1) = (Vmax * 1/10 KM) / (KM + 1/10 KM)
To simplify the equation, we multiply both sides by (KM + 1/10 KM):
1 mmol minute^(-1) * (KM + 1/10 KM) = Vmax * 1/10 KM
Next, we can combine the terms on the left side:
(11/10) mmol minute^(-1) * KM = Vmax * 1/10 KM
Now, divide both sides of the equation by 1/10 KM:
(11/10) mmol minute^(-1) = Vmax
So, the value of Vmax is 11/10 mmol minute^(-1), which is equivalent to 1.1 mmol minute^(-1), not 1.1 umol as mentioned in the answer key of your book. It seems there might be an error in the answer key.
To calculate the value of Vmax for an enzyme following simple Michaelis-Menten kinetics, you need to use the given information regarding V0 and [S]. Let's go through the process step by step.
1. Michaelis-Menten Equation:
The Michaelis-Menten equation describes the relationship between the reaction rate (V0) and the substrate concentration ([S]) for an enzyme following simple Michaelis-Menten kinetics:
V0 = Vmax * [S] / (Km + [S])
Where:
V0 = initial reaction rate
Vmax = maximum reaction rate (the rate when the enzyme is saturated with substrate)
[S] = substrate concentration
Km = Michaelis constant (the substrate concentration at which the reaction rate is half of Vmax)
2. Given Information:
V0 = 1 mmol minute^(-1)
[S] = 1/10 KM
3. Rearranging the Equation:
To find Vmax, we can rearrange the Michaelis-Menten equation as follows:
Vmax = V0 * (Km + [S]) / [S]
4. Substituting the Given Values:
Let's substitute the given values into the rearranged equation:
Vmax = (1 mmol min^(-1)) * (Km + (1/10 KM)) / (1/10 KM)
Vmax = 10 * (Km + (1/10 KM))
5. Calculating Vmax:
To continue further, we need to know the value of KM. Unfortunately, you haven't provided the value of KM in your question. The KM value is a characteristic constant for the enzyme-substrate pair and is required for calculating Vmax accurately.
Therefore, at this point, it is not possible to determine the exact value of Vmax without the value of KM. The answer key in your book, which states 1.1 μmol, might have assumed a specific value for KM. To conclude, please check if the value of KM is given elsewhere in your question or consult your course material for more information.