- #1
young_qubit
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I have been given a fundamental equation of a system as
<br /> u = \frac{s^4}{v^2}<br />
After writing down the 3 equations of state, namely:
<br /> T = 4\frac{S^3}{VN}<br />
<br /> P = \frac{1}{2}\frac{S^4}{V^{3}N}<br />
<br /> \mu = -\frac{S^4}{VN^{2}}<br />
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
<br /> dQ = dU + PdV<br />
where I know dQ = TdS = 0 by above definition, and assuming mols constant. Which would give me
<br /> dU = -PdV \,\rightarrow\,\frac{1}{2}\frac{S^4}{V^{3}N}<br />
but I'm not confident that's right. Looking for some suggestions, thanks.
<br /> u = \frac{s^4}{v^2}<br />
After writing down the 3 equations of state, namely:
<br /> T = 4\frac{S^3}{VN}<br />
<br /> P = \frac{1}{2}\frac{S^4}{V^{3}N}<br />
<br /> \mu = -\frac{S^4}{VN^{2}}<br />
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
<br /> dQ = dU + PdV<br />
where I know dQ = TdS = 0 by above definition, and assuming mols constant. Which would give me
<br /> dU = -PdV \,\rightarrow\,\frac{1}{2}\frac{S^4}{V^{3}N}<br />
but I'm not confident that's right. Looking for some suggestions, thanks.