integrating arrhenius equation

>>8567888
Use thermodynamica definitions and make sure the only thing you get spoonfed is dick. Hint, use equation of state

>>8567888
Separation of variables
[math] d \log k = \frac{E}{RT^2} d T[/math]
[math] \int d \log k = \int \frac{E}{RT^2} d T[/math]
[math] \log k = -\frac{E}{RT} + c[/math]
[math] k = \exp\left( -\frac{E}{RT} + c \right)[/math]
[math] k = \hat c \exp\left( -\frac{E}{RT} \right)[/math]

>>8567896
You can't treat d/dx as a fraction dumbass.

>>8568077
You can for specific functions shoo shoo

>>8568077
There's a retard on /sci/ who insists you can

>>8568077
come back after you take diff eqs

>>8568077
>>8568086
I've finally realised /sci/ is a board full of false rigour first year community college math students. Why did I keep coming back here

>>8568094
Ya ya cry me a river homo

>>8568109
lmao this

>>8568094
This is not false rigour. This is physicist rigour.

Separation of variables is an actual and commonly used method to resolve equadiffs. Of course, it gives mathematicians goosebumps, but the point is it actually works, and they don't botter justifying it because they know it does.

File: 154.jpg (40KB, 340x319px) Image search: [Google]

40KB, 340x319px

Why do people freaking out about separation of variables? Nobody on /sci/ ever heard about differentials?

>>8568077
>>8568086
is /sci/ really just a bunch of pompous freshmen? nothing against being young, but at least don't talk when you don't know what's coming out of your mouth.

>>8568545
Also it definitely doesn't give mathematician goosebumps when using them

>>8567896
what the fuck is that c-hat thing? are you turning this into some vector problem or is that the constant coefficient?

>>8568077
If you couldn't do that all of fluid dynamics would fall apart.

>>8568715
its a different constant than c
use your brain

>>8568077
ayo white boi shut the fuck up

>>8568077
>what is a differential
Differential equations are second fucking semester stuff.

>>8568077
> what's a differential equation
Come on anon this shits covered in calc.

>>8568545
Believe me, every single physicist knows about separation of variables and probably over uses it if anything

>>8567896
Why would you do that travesty and not just apply the FToC?

>>8568781
Using hats to distinguish letters is retarded though, in the very likely situation of having more than 1 you can't really add more hats.