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![enter image description here][1]enter image description here

For part (a), I know how to take the partial derivatives of S to get chemical potential, pressure. But there seems that I still need one equation to correctly express chemical potential in terms of T and P.

The biggest problem for me is that the gas is not an ideal gas, so I can't use the equation of state to finish the job.

Can anyone give me a hint? [1]: https://i.sstatic.net/63qqd.jpg

![enter image description here][1]

For part (a), I know how to take the partial derivatives of S to get chemical potential, pressure. But there seems that I still need one equation to correctly express chemical potential in terms of T and P.

The biggest problem for me is that the gas is not an ideal gas, so I can't use the equation of state to finish the job.

Can anyone give me a hint? [1]: https://i.sstatic.net/63qqd.jpg

enter image description here

For part (a), I know how to take the partial derivatives of S to get chemical potential, pressure. But there seems that I still need one equation to correctly express chemical potential in terms of T and P.

The biggest problem for me is that the gas is not an ideal gas, so I can't use the equation of state to finish the job.

Can anyone give me a hint?

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Chemical potential in terms of temperature and pressure

![enter image description here][1]

For part (a), I know how to take the partial derivatives of S to get chemical potential, pressure. But there seems that I still need one equation to correctly express chemical potential in terms of T and P.

The biggest problem for me is that the gas is not an ideal gas, so I can't use the equation of state to finish the job.

Can anyone give me a hint? [1]: https://i.sstatic.net/63qqd.jpg