00:01
If, first of all, you want to determine the surface concentration ss at a steady state.
00:06
So at a steady state, mass transfer rate equals an emetic reaction rate.
00:41
So you can actually say ku s bulk minus ss, which is the surface concentration equals the enzymatic reaction rate can be written as vmax s, s .s.
01:07
Divided by km plus ss.
01:15
So this is the mass transfer rate equation, and the one on the right is the mickelismanton isomatic rate on surface.
01:27
All right.
01:28
Now with that in mind, you substitute the value.
01:31
Ku has been given as 0 .2.
01:35
S bulk, 1 ,000, we want to calculate ss.
01:40
V -max is 0 .1 plus multiplied by ss, km -200 plus ss.
01:52
So you will have to solve for the ss.
01:55
So i'm just going to simplify the whole thing as 2s2s2 -square minus 1599.
02:11
Ss minus 400 ,000.
02:18
This is the rearrangement from the first one equals 0.
02:23
Then i'm just gonna use what we called a quadratic formula.
02:42
Ss equals negative b plus minus b square minus 4a c square root divide by 2a.
03:08
In this case, a is 2...