Two Carnot heat engines have the following values for the temperatures \(T_{\text {in }}\) and \(T_{\text {out }}\) of the reservoirs:

Engine 1: \(T_{\text {in }}=450 \mathrm{~K}\) and \(T_{\text {out }}=350 \mathrm{~K}\)

Engine 2: \(T_{\text {in }}=550 \mathrm{~K}\) and \(T_{\text {out }}=450 \mathrm{~K}\)

Determine which of the two engines is more efficient.