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vodka [1.7K]
2 years ago
9

An enzyme can catalyze a reaction with either of two substrates, S1 or S2. The Km for S1 was found to be 2.0 mM, and the Km, for

S2 was found to be 20 mM. A student determined that the Vmax was the same for the two substrates. Unfortunately, he lost the page of his notebook and needed to know the value of Vmax. He carried out two reactions: one with 0.1 mM S1, the other with 0.1 mM S2. Unfortunately, he forgot to label which reaction tube contained which substrate. Determine the value of Vmax from the results he obtained:
Chemistry
1 answer:
disa [49]2 years ago
3 0

Answer:

101

Explanation:

Provided that

S_1 = S_2 = same\ V_{max}

And,

S_1\ k_M = 2.0mM\\S_2\ k_M = 20mM

Now we expect the same

{S} (0.1mM)

This determines that S_1 generates a  higher rate of product formation as compared to the S_2

So we can easily calculate the V_{max} for either of S_1 or S_2 as we know that Tube 1 is S_2 and tube 2 is S_1

As we know that

V_0 = V_{max}\ {S} / (K_M + {S})

As the rates do not include any kind of units so we do not consider the units for V_{max}

Now the calculation is

0.5 = V_{max} (0.1\ mM) / (20\ mM + 0.1\ mM)

V_{max} = 0.5 (20.1\ mM) / 0.1\ mM

= 100.5

≈ 101

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