In this problem a heat engine, each cycle, absorbs an amount of energy Qh $=1875$ J from a hot reservoir and expels an amount Qc $=1290$ J into a cold reservoir. Each cycle lasts for a time of t $=0\mathrm{.}26$ seconds. $$ Part $($a$)$

Find the efficiency of an ideal engine operating between these reservoirs. Remember the efficiency is unit$-$less, therefore so should your number be as well. Part $($b$)$

How much work, in Joules, is done per cycle at this efficiency?

$$ Part $($c$)$

How much power, in Watts, does the engine output per cycle at this efficiency?

$$ Part $($d$)$

What if the actual work done $($more realistically$)$ is W $=220$ J during a single cycle; what is the efficiency of this engine if the energy input is the same $($again$,$ the number should be unit$-$less$)?$

$$ Part $($e$)$

What is equation for the new power output per cycle $($in Watts$)$ of this new $($and more realistic$)$ engine?