Enzyme‑catalyzed, single‑substrate reaction E + S − ⇀ ↽ − ES ⟶ E + P . The model can be more readily understood when comparing three conditions: [ S ] << K m , [ S ] = K m , and [ S ] >> K m . Match each statement with the condition that it describes. Note that "rate" refers to initial velocity V 0 where steady state conditions are assumed. [ E total ] refers to the total enzyme concentration and [ E free ] refers to the concentration of free enzyme.

Complete Question

The complete question is shown on the first uploaded image

[S]<<KM             |  [S]=KM                  |  [S]>>KM                     | Not true

____________  |   Half of the active  | Reaction rate is         | Increasing

is about   |    sites are filled of  |    independent of      |   will                                            

 equal to . |                                 |   [S]                             | lower KM

_____________________________________________|____________

[ES] is much       |                                 | Almost all active

 lower than         |                                 | sites are filled

                 |                                 |

Explanation:

Generally the combined enzyme is mathematically represented as

for Michaelis-Menten equation

Where is the substrate concentration and is the Michaelis constant

Considering the statement

  Looking at the equation is denominator so it can be ignored(it is far too small compared to )  hence the above equation becomes

Since is less than it means that

so it means that

  What this means is that the  number of combined enzymes i.e the number of occupied site is very small compared to the the total sites  i.e the total enzymes concentration which means that the free sites [  i.e the concentration of free enzymes is almost equal to

Considering the second statement

So  this means that equation one would now become

So this means that half of the active sites that is the total enzyme concentration are filled with S

Considering the Third Statement

In this case the in the denominator of equation 1 would be neglected and the equation becomes

This means that almost all the sites are occupied with substrate

 The rate of this reaction is mathematically defined as

Where v is the rate of the reaction(also know as the velocity of the reaction at a given time t) and  is he maximum velocity of the reaction

In this case also the at the denominator would be neglected as a result of the statement hence the equation becomes

So it means that the reaction does not depend on the concentration of substrate [S]

For the final statement(Not True ) it would match with condition that states that increasing will lower

This is because does not depend on enzyme concentration it is a property of a enzyme

c. heat could easily travel through the molecules in the air and escape/enter the flask. removing the air slows down the heat transfer.