A reversible heat engine in a satellite operates between a hot reservoir at T1 and a radiating panel (cold reservoir) at T2. Radiation loss from the panel is proportional to its Area (A) and to (T2)^4. For a given work output (W) and given value of T1
i. Show that the area of the panel will be minimum when T2/T1= 0.75.
ii. Determine the minimum area of the panel for an output of 1 kW if the constant of proportionality is 5.67 × 10?8 W/m2K4 and T1 (hot reservoir temperature) is 1000 K.