A steady heat engine, in contact with its environment, absorbs energy of magnitude \(Q_{\mathrm{H}}\) as heat from a hightemperature reservoir, while \(120 \mathrm{~J}\) of work is done on it. Without specifying anything about the way the entropy of the engine, source, or environment responds to change in energy, find the value of \(Q_{H}\) when the maximum amount of work the engine can do is arbitrarily close to \(375 \mathrm{~J}\).