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'advanced' maths.
Former Member
Posts: 1,876,323 The Mix Honorary Guru
I put the advanced in inversed comas, because it might be easy for someone who learnt it in some kind of advanced school, but I reckon most people who are not studying something technical won't be familar with it.
Basically. I need to find a differential equation for the following problem.
A chemical reaction reacts from substance A to substance E, whereas substance E reacts further to endproduct B, so A----> E ----> B
Both reactions have the 1. order (so no powers). The rate constants k1 (for A--->E) and k2 (for E--->B) are known. but, k1 ≠ k2
The question is, how much of each concentration a, e or b is there to any kind of given moment.
Since we were only having differential equations with 2 variables, it will be a f(x,y), or f(x,y,y') function.
So basically I need to find a diff.eq. for the concentration in dependence of the time t., maybe they ask for 3 equations, resepctively for "a" in dependence of the time, e i.d. of t, etc.
I hope anyone has a faint idea somewhere.
Basically. I need to find a differential equation for the following problem.
A chemical reaction reacts from substance A to substance E, whereas substance E reacts further to endproduct B, so A----> E ----> B
Both reactions have the 1. order (so no powers). The rate constants k1 (for A--->E) and k2 (for E--->B) are known. but, k1 ≠ k2
The question is, how much of each concentration a, e or b is there to any kind of given moment.
Since we were only having differential equations with 2 variables, it will be a f(x,y), or f(x,y,y') function.
So basically I need to find a diff.eq. for the concentration in dependence of the time t., maybe they ask for 3 equations, resepctively for "a" in dependence of the time, e i.d. of t, etc.
I hope anyone has a faint idea somewhere.
Post edited by JustV on
0
Comments
(obvious movie response), "I'll give you two days!"
Not possible, bud. On thursday I have math excersises, and I need to have it done then :S
thanks tho.
and there is no way to get that ol' brain all oiled up and get the toothed wheels in gear again, or find handwritings of lectures back then?
B= k2 dE/dt ---> = k2 k1 d(dA/dt) / dt
---> B= k1k2 d^2(A)/dt^2
more nicely
E=k1 A'
B=k2 E' = k1k2 A''
edit: one assumes in this case that
A=f(t)
E=f(A,t)
B=f(E,t)
as the constants are irrelevant to the structure of the functions really. (or if one assumes both constants = 1)
but then I guess A is also dependant on how much has reacted into E...
I dunno, I'm no chemist, but it's a start. (maybe) also, this could be completely wrong.