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Vmax, Km: Calculation of Kinetic Constants, first order

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The initial velocity of an enzyme catalyzed reaction was measured at a serious of different initial substrate concentrations in the table. Find Km (sometimes called Ks)(the half velocity constant) and ...there is moreshow problemThe initial velocity of an enzyme catalyzed reaction was measured at a serious of different initial substrate concentrations in the table. Find Km (sometimes called Ks)(the half velocity constant) and max velocity Vmax. Over what substrate concentration rane would you expect reaction to approximately follow first order kinetics (i.e) V=(k first order) [S] and estimate k-first order

Units of [S] is M Velocity (V) in micromoles/liter-min

8.35 E-6 13.8
1.0E-5 16.0
1.25 E-5 19.1
1.67 E-5 23.8
2.0 E-5 26.7
2.5 E-5 30.8
3.3 E-5 36.2
5.0 E+5 44.5
1.0 E-4 57.2
2.0 E-4 66.7
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I know that at lower substrate concentrations, the reaction follows first order kinetics.
V= (Vmax[S])/(Km+[S])
Linearizing,
1/V= (Km/Vmax)(1/[S])+1/Vmax, this is Lineweaver Burk Double Reciprocal Plot
This is of form y=mx+b
______________________________________________________________
Please show a detailed solution, even the minor math. Thank you Mr. Allen.

https://brainmass.com/chemistry/chemical-kinetics/vmax-km-calculation-of-kinetic-constants-first-order-148279

Solution Preview

The first thing we do is transfer the data into Excel.

Make sure that all of your numbers are transferred correctly and you haven't transposed the numbers wrong. For example, one of your data points is incorrect (the number 5.0 E+5 should be 5.0 E-5.) What I did was transfer the [S] data as regular numbers and then told Excel to format those cells so that the numbers would be displayed using scientific notation. That way I ensure I have transferred the data correctly.

Next thing you do is create columns B and D which will invert the data so you end up with reciprocal, i.e. 1/[S] and 1/Vo. I am using the variable Vo to indicate "initial velocity."

Once you've gotten reciprocal data (click on cell B2 to see how you can have Excel calculate reciprocal data automatically), then you highlight columns B1-11 and D1-11. You do this by highlight B1-11 first and then hold the Ctrl key down to highlight D1-11. If you do it correctly, you will only have highlighted the data in columns B and D. This is your "double ...

Solution Summary

The initial velocity of an enzyme catalyzed reaction was measured at a serious of different initial substrate concentrations in the table. Find Km (sometimes called Ks)(the half velocity constant) and ...there is moreshow problemThe initial velocity of an enzyme catalyzed reaction was measured at a serious of different initial substrate concentrations in the table. Find Km (sometimes called Ks)(the half velocity constant) and max velocity Vmax. Over what substrate concentration rane would you expect reaction to approximately follow first order kinetics (i.e) V=(k first order) [S] and estimate k-first order

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Physical Chemistry Collision Theory

I have a list of terms that needs to be defined in a Physical Chemistry course. With each definition I need an example for each term, as a description to it or so

term Chapter
collision theory
transition state theory
rate constant
Arrhenius equation
integrated rate law
rate law
activation energy
pseudo first order
preexponential factor (a)
half life
zeroth order reaction
first order reaction
second order reaction
third order reaction
method of initial rates
isolation method
reaction profile
collision frequency
reaction coordinate
flash photolysis
stopped flow experiment
temperature jump experiment
elementary reactions
consecutive reactions
unimolecular reactions
molecularity
rate-determining step
diffusion-controlled limit
Homogeneous catalyst
catalyst
heterogeneous catalyst
Michealis- Menten kinetics
KM Michealis constant
Maximum Turnover number
Maximum Velocity
Line-Weaver-Burke Plot
Woolf Plot