- #1
young_qubit
- 1
- 0
I have been given a fundamental equation of a system as
[tex]
u = \frac{s^4}{v^2}
[/tex]
After writing down the 3 equations of state, namely:
[tex]
T = 4\frac{S^3}{VN}
[/tex]
[tex]
P = \frac{1}{2}\frac{S^4}{V^{3}N}
[/tex]
[tex]
\mu = -\frac{S^4}{VN^{2}}
[/tex]
I need to determine the equation of isentropic (dS = 0) processes on the P-V diagram. I understand that the relationship should only contain P, v (plus whatever constants), but I'm not sure what to do now. I was thinking that I should put these values into
[tex]
dQ = dU + PdV
[/tex]
where I know [itex]dQ = TdS = 0[/itex] by above definition, and assuming mols constant. Which would give me
[tex]
dU = -PdV \,\rightarrow\,\frac{1}{2}\frac{S^4}{V^{3}N}
[/tex]
but I'm not confident that's right. Looking for some suggestions, thanks.
[tex]
u = \frac{s^4}{v^2}
[/tex]
After writing down the 3 equations of state, namely:
[tex]
T = 4\frac{S^3}{VN}
[/tex]
[tex]
P = \frac{1}{2}\frac{S^4}{V^{3}N}
[/tex]
[tex]
\mu = -\frac{S^4}{VN^{2}}
[/tex]
I need to determine the equation of isentropic (dS = 0) processes on the P-V diagram. I understand that the relationship should only contain P, v (plus whatever constants), but I'm not sure what to do now. I was thinking that I should put these values into
[tex]
dQ = dU + PdV
[/tex]
where I know [itex]dQ = TdS = 0[/itex] by above definition, and assuming mols constant. Which would give me
[tex]
dU = -PdV \,\rightarrow\,\frac{1}{2}\frac{S^4}{V^{3}N}
[/tex]
but I'm not confident that's right. Looking for some suggestions, thanks.