Consider a cylinder fitted with a piston that contains $3$mol of $H_{2}O$ in a container at $900K.$

Calculate how much work is required to isothermally and reversibly compress this gas from

$10L$ to $1L,$ in each of the following cases:

Use the ideal gas model for water.

Use the van der Waals equation of state to relate $P,v,$ and T$.$ Note: the equations we

derived in module $2\mathrm{.}6$ are derived assuming an ideal gas. You will need to reserve

with the vdW EOS.

Use the steam tables $($hint: start from the first law energy balance; you can relate heat

to entropy$).$