Homework Statement
Which is the electron configuration of the Ni+ ion?
Homework Equations
Ni : [Ar]4s23d8
The Attempt at a Solution
Ni+: [Ar]4s13d8
Apparently this solution is wrong and should be Ni+: [Ar]3d9 but I do not know why. As far as I know 4s has less energy than 3d so, why does one...
Homework Statement
Show that in Solid to Liquid transitions at T \ll {T}_{c} , L\simeq constant where {T}_{c}, L are the critic temperature and latent heat respectively.
Homework Equations
\left( \frac{d ( \frac {L} {T})} {dT} \right) = \frac {{c}_{p2}-{c}_{p1}} {T}+ \frac...
Homework Statement
Show that in Solid to gas and Liquid to gas transitions at T \ll {T}_{c} , L\simeq a+bT where {T}_{c}, L are the critic temperature and latent heat respectively and a,b constants.Homework Equations
\left( \frac{d ( \frac {L} {T})} {dT} \right) = \frac...
I'm studying Physics, and I know it is a continuous function of entropy and volume, but one thing is knowing and another is proving. I need to prove this knowledge.
I think it's continuous, I know from theory, but it's not a given in the problem, so if i use it, I have to say why. As I don't know how to justify that U is continuous, I think that, if I can demonstrate that Schwartz relation is valid, then, I can avoid justifying its continuity.
Nothing, but in an exam I would have to reason why I assume that U is continuous, so if I could go from -\left( {\frac{\partial P} {\partial S}}\right)_{V,n} to \left( {\frac{\partial T} {\partial V}}\right)_{S,n} by using derivatives and their properties, the problem would be solved I think.
If I say they are equal, I am assuming that Schwartz relation is valid in this case, or that U is a continuos function. I want to demonstrate why Schwartz relation is valid.
Homework Statement
Show that: (\frac{∂T} {∂V})_S,_n=-(\frac {∂P} {∂S})_V,_n
Homework Equations
dU=TdS-PdV+μdn
The Attempt at a Solution
\frac {∂} {∂S} (\frac{∂U} {∂V})_S,_n=-(\frac {∂P} {∂S})_V,_n
\frac {∂} {∂V} (\frac{∂U} {∂S})_V,_n=(\frac{∂T} {∂V})_S,_n
I tried to isolate T and P...
Now I get it thank you :biggrin: so in both cases I described, the car-system would reach the point at the same time? In the first one the grain would slow the car, and in the second one too but the grain leaking out would not affect the new speed or am I wrong?