There are two boxes which are connected only to one another and that are both fully

insulated from the environment. Box $1$ contains saturated vapor water at $300\backslash$deg F$.$ Box $2$

contains saturated liquid water at $75\backslash$deg F$.$ Heat is removed from Box $1$ at constant volume

until the temperature of Box $1$ is $200\backslash$deg F$.$ Assuming all of the heat from Box $1$ is transferred

to Box $2$ and that Box $2$ is heated at constant temperature, find the quality of the liquid

vapor mixture in Box $2$ at the end of the process.