One hundred cubic meters of carbon dioxide initially at $150\backslash$deg C and $50$ bar is to be

isothermally compressed in a frictionless piston$-$and$-$cylinder device to a final pressure of $300$

bar. Calculate

I. The volume of the compressed gas.

II$.$ The work done to compress the gas.

III. The heat flow on compression.

assuming carbon dioxide

a$)$ Is an ideal gas.

b$)$ Obeys the Van der Waals equation of state $($Take $0\mathrm{.}3658$ Pa$$m$6/$mol$2$ and b$=4\mathrm{.}286\backslash$times $105$

m$3/$mol$)(30$P$).$