PHY$2048$C

$3.$ For the cycle depicted in the diagram $($for a monatomic ideal gas$)$:

$($a$)$ What is the efficiency $($work done divided by heat absorbed$)?$

$e=\frac{w}{Q_H}=1-\frac{Q_C}{Q_H}$

$($b$)$ Calculate the efficiency of a Carnot engine operating between the same temperature extremes. Is it higher than that of part $($a$)?$ Should it be$?$