Problem $5($Smith$,$ van Ness$)$ An insulated container filled with $20kg$ of water at $22C$ is fitted with a stirrer, which is made to turn by gravity acting on a weight of mass $32kg.$ The weight falls slowly through a distance of $4m$ in driving the stirrer. Take the heat capacity of the container to be equivalent to $5kg$ of water $)=(4\mathrm{.}18(kJ)*kg-1.C-1$ and the local acceleration of gravity to be $9\mathrm{.}8m$ S$-2($CLO $2\mathrm{.}1)$

:Determine

the amount of work done on the water$-$container system, $($b$)$ the internal$-$energy change of the $($a$)$ water$-$container system, $($c$)$ the final temperature of the water$-$container system, $($d$)$ the amount of heat that must be removed from the water$-$container system to return it to its initial temperature, $($e$)$ the total energy change of the universe because of $(1)$ the process of lowering the weight, $(2)$ the process of cooling the water$-$container system back to its initial temperature, and $(3)$ both processes $.$together