An engine absorbs $1\mathrm{.}67$ kJ from a hot reservoir at $277\backslash$deg C and expels $1\mathrm{.}21$ kJ to a cold reservoir at $27\backslash$deg C in each cycle. $($a$)$ What is the engine's efficiency? $\%($b$)$ How much work is done by the engine in each cycle? J $($c$)$ What is the power output of the engine if each cycle lasts $0\mathrm{.}301$ s$?$ kW