A solar pond consists of a thin layer of fresh water floating on top of a denser layer of salt water. When the salty layer absorbs sunlight it warms up and much of that heat is held there by the insulating effect of the fresh water above it (without the fresh water, the warm salt water would rise to the surface and dissipate its heat to the atmosphere). A solar pond can easily be 100 C above the ambient temperature.
A) if a real engine is able to achieve half the efficiency of a carnot engine, how many kilowatts hours of electricity could be generated per day from a100 m x 100 m pond that captures and stores 50% of the 7 kWh/m^2 solar radiation striking the surface?
B) for a house that requires 500 kWh per (30 days) month, what area of the pond would be needed?