A certain heat engine does $11\mathrm{.}5$ kJ of work and $7\mathrm{.}50$ kJ heat transfer occurs to the environment in a cyclical process.$($a$)$ What was the heat transfer $($in kJ$)$ into this engine?ASK YOURR TEACHER$1$:$33$:$07($b$)$ What was the engine's efficiency $($in percent$)?$