Find expressions for $($dnS$/$dnV$)$ constant T$,($dnV$/$dP$)$ constant T$,($dnU$/$dnV$)$ constant T$,($dnU$/$dP$)$ constant T$,$ and $($dnH$/$dP$)$ constant T for a gas whose PVT behavior is described by the equation:

P$*(($V$^$T$/$n$)-$b$)=$RT$,$ b is a constant.