Harry Potter claims that he has invented a "super heat engine cycle". A heat engine operating with Harry's cycle can consume 500 kJ of thermal energy from a hot reservoir

at 327 °C and produce 300kJ of mechanical work, with the rest of energy being rejected to a cool reservoir at 27 °C. Is this supercycle possible? Please quantify and elucidate your answer employing both two methods learned, namely,the efficiency analysis and the Clausius integral analysis.