Q$1$ A process of isothermal compression following the van der Waals equation of state is planned for ten moles of ethylene. The compression will start from an initial state characterized by a pressure of $21\mathrm{.}7$ bar, a temperature of $25C,$ and a volume of $1\frac{L}{m}ol.$ It will conclude when the volume reaches $0\mathrm{.}1\frac{L}{m}ol.$

a$)$ What is the estimated pressure at the final state?

b$)$ Calculate the work required for this compression and comment on its sign.

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