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The $\backslash ($ P V $\backslash )$ dlagram shown is for a heat engine that uses $1\mathrm{.}140$ mol of a diatomic ideal gas as its working substance. In the constant$-$temperature processes $\backslash ($ A $\backslash )$ and $\backslash ($ C $\backslash ),$ the gas is in contact with reservoirs at temperatures $373$ K and $273$ K $,$ respectively. In constant$-$volume process $\backslash ($ B $\backslash ),$ the gas temperature decreases as heat flows into the cold reservoir. In constant$-$volume process $\backslash ($ D $\backslash ),$ the gas temperature increases as heat flows from the hot reservolr.

To compare the efficlency of the heat engine to that of an Ideal engine, what is the ratio of the efficlency of an ideal engine using the same reservoirs to that of the heat engine, If the heat input per cycle is $3158$ J $?$