Hi Everyone
I'm studying material Engineering and I'm currently preparing chemistry for the summer exams.
Now, there is an old exam question which I don't know how to solve:
"In which temperature range does ##[W^{+VI}F_{6}^{-I}]## melt?"
My solution:
Well, the 18-Electron rule is not...
$$dS=\frac{1}{T}\left[(u+P)dV+V\frac{du}{dT}dT\right]$$
I managed to derive the second term by simply using the definition of ##C_{V}## and taking the first derivative of ##U(T,V)## with respect to ##T## since: $$\left(\frac{\partial U}{\partial T}\right)_{V}=T \left(\frac{\partial S}{\partial...
I guess its $$dU(T,V)=\left(\frac{\partial U}{\partial T}\right)_{V} dT+\left(\frac{\partial U}{\partial V}\right)_{T} dV$$ Or one can write: $$dU(T,V)=C_{V}dT-PdV$$
right?
Hi everyone!
1. Homework Statement
Given is a function for the internal energy: ##U(T,V)=Vu(T)##
Asked is to derive the entropy balance equation. In order to do so i need to find the "isothermal and adiabatic compressibility": $$\kappa_{T}=-\frac{1}{V}\left(\frac{\partial V}{\partial...
You said that:
So by finding the number of particle which will hit the wall in the next ##\Delta t## seconds I can find the volume? The number of particle which will hit the wall should be equal to: $$dn_{x}=\Delta tv_{x}f(\mathrm{\textbf{v}})dv_{x}dv_{y}dv_{z}$$ with $$\mathrm{\textbf{v}}=...
Thank you very much for your answer!
I guess the number of particle traveling in x-direction would be: $$n_{x}=\int_{0}^{\infty} f(\mathrm{\textbf{v}}) dv_{x}$$ right? But how do I include the infinitesimal time Intervall ##\Delta t##?
Hi everyone
I'm having trouble with solving an exercise in statistical physics. I need to argue why the average number of particles with a velocity between ##v## and ##v+dv## that hit a surface area ##A## on the container wall in a time interval ##\Delta t## is $$N_{collision}=v_{x}A\Delta t...
Hi everyone!
I'm having trouble with the following exercise:
Let ##\mathrm {Aff}(ℝ)## be the vector space of the affine maps from ##ℝ## to ##ℝ##:
$$φ_{a,b}:ℝ→ℝ$$ $$x→a x + b$$
Find the contravariant and and covariant coordinate of the map:
$$φ_{1,1}:ℝ→ℝ$$ $$x→x + 1$$ with respect to the...
Hi guys!
I'm struggling with the following problem:
Consider two distinguishable (not interacting) particles in a quadratic 2 dimensional potential well. So
##
V(x,y)=\left\{\begin{matrix}
0,\quad\quad-\frac { L }{ 2 } \le \quad x\quad \le \quad \frac { L }{ 2 } \quad and\quad -\frac { L }{...