A manned space vehicle requires an average of 2 electrical kilowatts.
A nuclear reactor thermoelectric plant having a mass of 1000
kilograms, including shielding, can supply this power for 10,000
hours. The basic fuel cell has a mass of 50 kilograms and consumes ½
kilogram of chemicals per hour. The chemical containers weigh 25
kilograms. What is the longest mission where the total weight of the
fuel cell will be less than the weight of the nuclear power plant?