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Results tagged with mathematics
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user 87684
DO NOT USE THIS TAG just because your question involves math! If your question is on simplification of a mathematical expression, please ask it at math.stackexchange.com The mathematics tag covers non-applied pure mathematical disciplines that are traditionally not part of the mathematical physics curriculum, such as, e.g., number theory, category theory, algebraic geometry, general topology, algebraic topology, etc.
3
votes
3
answers
322
views
Why heat is extensive quantity?
Question. Why heat is an extensive quantity? That is, why heat is proportional to mass? I am interested in an answer based on classical thermodynamics. I am asking to help me fill the gaps in my argum …
- 321
-1
votes
2
answers
353
views
Making equal arguments of sine or cosine function
I have trouble understanding one common type of inference about waves. In physics textbooks, frequently when text is about waves I see inference where arguments of trigonometric functions made equal k …
- 321
0
votes
Accepted
Prove $G=U+PV-TS+\sum \mu_i n_i$
According to Bazarovs Thermodynamics textbook in case when state of state of system is determined by generalized forces $A_i$ and conjugated outer parameters $a_i$ then (generalized) Gibbs energy is …
- 321
1
vote
2
answers
149
views
Two total differentials with equal variable differentials. Why coefficients in front of diff...
Could you prove that inference like that is valid:
$$(1)
\left\{
\begin{array}{c}
dU=T dS-pdV \\
dU=\frac{\partial U}{\partial S}dS+ \frac{\partial U}{\partial V} dV
\end{array}
\right.
\implies
\le …
- 321
-2
votes
1
answer
320
views
Prove $G=U+PV-TS+\sum \mu_i n_i$
Question. I have trouble understanding one step in Gibbs adsorption isotherm derivation.
I don't understand why we can write $G=U+PV-TS+\sum \mu_i n_i$, how to prove this equation? I saw this equation …
- 321
-2
votes
5
answers
353
views
Separatibility of wave-function in Schrodinger equation describing motion of particle in sph... [closed]
Question.
Why wave-function describing rotation of particle around spherical surface is separable?
Why solution obtained assuming function is separable is general solution?
I am interested in proof of …
- 321