Develop expressions for the coefficient of thermal expansion $$ and the isothermal compressibility ${}_T$ for $($a$)$ the ideal gas and $($b$)$ the gas that obeys the van der Waals equation of state:

$(P+\frac{a}{V_{{?}^{?}}(2)})(V_{-}b)=RT$

where a and $b$ are constants. $(40$ points$)$