A heat engine with $26\mathrm{.}0\%$ efficiency produces $2\mathrm{.}15104$ W of power while exhausting $1\mathrm{.}10104$ J to the cold reservoir during each cycle.

$($a$)$ How much energy does the engine absorb from the hot reservoir during each cycle?

kJ

$($b$)$ How long does each cycle take?

s