Problem $2$: $(10$ pts$)$ Ideal Gas air is compressed such that its volume changes from $0\mathrm{.}2m^3$

to $0\mathrm{.}01m^3.$ The pressure at the beginning of the process is $200$ kPa $,$ find the

work under the following conditions, assume that the compression is reversible.

$($a$)$ The pressure is constant during the process.

$($b$)$ The temperature is constant and equal to $50C.$

Sketch both processes on a $P-V$ diagram.

Problem $3$: $(10$ pts $)$ Consider $0\mathrm{.}2$ kg of water vapor which is saturated at $400$ kPa in a

piston cylinder. Constant pressure is maintained by the piston at all times.

Water condenses until half of the volume of the cylinder is liquid. Find the

work in this process and sketch the process on a $P-V$ diagram. Use the steam

tables.