Help with Kinetics-double reciprocal plot

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For the assignment on creating a Velocity vs. Substrate plot to determine Km and Vmax, uniformity of units is not required according to the TA. The double reciprocal plot should yield a straight line, and while Km and Ks can be related, they are not necessarily the same; Km is derived from the slope and intercepts of the plot. The intercept on the 1/s axis provides the value for -1/K, which is essential for calculations. It's crucial to clarify terminology and ensure that units are included on axes to avoid losing marks. Understanding the distinction between equilibrium and steady-state constants is important, but the experiment does not provide a means to differentiate between them.
skyblu280
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Hi,

I have an assignment where we basically have to make a Velocity vs. Substrate plot and find the Km and Vmax values.

We then have to do a double reciprocal plot and find the Km and Vmax from that.

My first question is if I have to convert the units of my axes so they are uniform.
The substrate is in micromolar while the Velocity is in micromolar/min. I asked my TA and he said no...but I just wanted to double check.

On the double reciprocal plot, I plotted the points on deltagraph and they gave me a straight line for the double reciprocal plot in the form of y=mx+b

Is KM the same as Ks in this case? I was thinking that I could get the value of Km but having the slope equal to Ks/Vmax. I can read Vmax off the graph and solve for Ks which I would determine it to be equal to KM. Is that a correct assumption?
 
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You use a lot of words which you do not define so it is difficult to answer.

For the question about 'uniformization' I guessed what you mean. If you have a table in two columns of 1/s, 1/v it should be obvious a reasonable way to plot them and you seem to have done that.

Slightly worrying loosenesses of expression. It is scarcely more difficult to say 'I can read 1/Vmax from the intercept on the 1/v axis' in which case we would know you know what you are doing than it is to say vaguely 'I can read Vmax off the graph' in which case you may do but we are not sure.

You don't have to solve any equations to get your K, -1/K is the intercept on the 1/s axis, this must be in your textbook or lab manual. However what you say about the slope is also true, helps tie things up together.

I understand your question about Km or Ks to mean 'is my measured constant practically an equilibrium constant, call it kback/kforward or is it a steady-state ('Briggs-Haldane') constant (kback + kcat)/kforward, i.e. do I have a steady state removed from equilibrium?'

The answer is that as both cases give an equation of exactly the same form v = Vmaxs/(Km + s) the experiment gives you no information about this - you cannot tell the difference.

When you hand in your assignment do not forget to put units on your axis and any answers otherwise you will lose marks and more important, not help yourself in future understanding.
 
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