= Solution
Use absolute temperatures $T_H=523.15\,\mathrm K$, $T_C=323.15\,\mathrm K$ and $\overline T=423.15\,\mathrm K$. With the explicit identical-per-leg interpretation from the preceding part,
$$
\sqrt{1+Z\overline T}=\sqrt{1+0.1622}=1.0781,
$$
and the stated ideal efficiency expression gives
$$
\boxed{\eta_{\max}=\frac{200}{523.15}\frac{1.0781-1}{1.0781+323.15/523.15}=0.0176\simeq1.76\%.}
$$
With the alternative already-combined pair convention, $Z\overline T=0.6488$ instead gives \b[$\eta_{\max}\simeq5.71\%$]. Both lie below the <Carnot efficiency> $1-T_C/T_H=38.2\%$. These are constant-property ideal conversion efficiencies, neglecting contact resistance, parasitic heat paths and temperature dependence. They are not the efficiency specifically at the maximum-power load.
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