An inventor claims to have developed a heat engine that receives \(7000 \mathrm{~J} / \mathrm{s}\) of heat from a source at \(400^{\circ} \mathrm{C}\). The power output of the engine is \(5 \mathrm{hp}\). The temperature of the surroundings is \(24^{\circ} \mathrm{C}\). It can be treated as a sink for the engine. Can this claim be valid? Justify your answer.