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Numbers you might need: . Charge of a proton: 1.6 x 10-19 C . Charge of an electron: -1.6 x 10-19 C . 60 = 8.85 x 10-12 [C2/ (N . m2) ] . Boiling point of water: 100 C; melting point of ice: 0.C. . Specific heat of ice: 2050 [J/ (kg . C)]; specific heat of water: 4186 [J/(kg . C)] . Latent heat of melting for water: 334000 [J/kg] . Latent heat of vaporization for water: 2.25 x 106 [J/kg] . Signs for lenses are listed at the last page. 1. A storm cloud 200 m off the ground sits over a fish pond that is initially at 20 C. The pond is defined to be at voltage zero and the cloud is at 250 MV. A lightning strike carrying 50 C of charge leaves the cloud and hits the pond. (a) What is the electric potential energy carried by the 50 C of charge? (b) Assuming that all the energy of the transferred charge is absorbed by the water, how many kg of water can be raised to 100 C and then boiled away