Q$7.$ A sample consisting of $1$mol of perfect gas atoms $($for which $\frac{?}{\text{b}\text{a}\text{r}}(C{)}_v=\frac{3}{2}R)$ is taken through the cycle shown in the following figure $($a$)$ Determine the temperature at the points $1,2,$ and $3.($b$)$ Calculate q$,$ w$,U,$ and $H$ for each step and for the overall cycle. If a numerical answer cannot be obtained from the information given, then write in$,,+-0,$ or $?$ as appropriate.