$($B$)$ How much heat is transferred from the left side to the right side? $($The heat lost on the left is equal in magnitude to the heat gained by the right.$)57\mathrm{.}476.($C$)$ What is the change in height of the piston after being lifted due to this heat transfer?$8\mathrm{.}779.($D$)$ What fraction of the heat is converted into work?$2\mathrm{.}997.$