Consider a Carnot's cycle operating between T_1 = 500 K and T_2 = 300 K producing 1 kJ of mechanical work per cycle. Find the heat transferred to the engine by the reservoirs.

Consider a Carnot's cycle operating between T_1 = 500 K and T_2 = 300

1.	Consider a Carnot's cycle operating between T_1 = 500 K and T_2 = 300 K producing 1 kJ of mechanical work per cycle. Find the heat transferred to the engine by the reservoirs.
Answer» SOLUTION :Temperature of source `T_1` = 500 K Temperature of sink `T_2` = 300 K WORK done per cycle W = 1 kJ = 1000 J Heat transferred to the engine per cycle `Q_1` = ? Efficiency of a carnot engine , `eta=1-T_2/T_1` `=1-300/500` `=200/500` `=2/5` Now, `eta=W/Q_1` `THEREFORE Q_1=W/ eta=1000/2xx5` = 2500 J As `Q_1-Q_2=W` `therefore Q_2=Q_1-W`=2500 J -1000 J = 1500 J