Two thermodynamic processes, each involving the same type and amount of monatomic gas as a working substance and each working as a heat engine, begin and end their cycles from a common state: \(P_{1}=1.00 \times 10^{5} \mathrm{~Pa}\), \(V_{1}=2.50 \times 10^{-2} \mathrm{~m}^{3}\), and \(T_{1}=300 \mathrm{~K}\). The first is a Carnot cycle, the second is a Brayton cycle, and each does \(200 \mathrm{~J}\) of work on the environment during each cycle.

(a) Draw an entropy diagram for each process.

(b) Which process causes the greater change in entropy of the environment?