$5($a$)$ Which of the thermodynamic quantities $p,H,q,w,$ and $G$ are state functions? $($b$)$ Consider a system going from state $1$ to state $2$ in a reversible and an irreversible way. Compare $q_{\text{r}\text{e}\text{v}}$ and $q_{\text{i}\text{r}\text{r}\text{e}\text{v}}($c$)$ Consider a system going from state $1$ to state $2$ in a reversible and an irreversible way. Compare $w_{\text{r}\text{e}\text{v}}$ and $w_{\text{i}\text{r}\text{r}\text{e}\text{v}}($d$)$ For a reversible isothermal process, write an expression for $H$ and an expression for $G$ in terms of $q,w$ and $T,p$ and $V.$