1[s] = km for a simple enzymatic reaction. when substrate concentration is tripled, the rate becomes vmax.

The problem can be solved with the help of Michaelis Menten kinetics.

The equation can be written as

Where Vo = Initial velocity of the enzyme. This is also known as initial rate of the reaction.

Vmax = Maximum velocity

[S] = Substrate concentration

Km = Michaelis constant for the given enzyme.

When the substrate concentration is tripled, [S] becomes 3[S]

Let us plug this in Michaelis equation.

The new equation that we get is,

We have been given that Km = [S]

Let us write [S] in place of Km in our equation. We get,

On adding the values on the denominator we get,

We can cancel out [S] .

From the above equation, we can see that initial rate of the reaction (V₀) becomes 0.75 times Vmax

Therefore, when substrate concentration is tripled, the rate becomes 0.75 Vmax

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