Solved: Whenever organic matter is decomposed under

Chapter 6, Problem 6.94

(choose chapter or problem)

Whenever organic matter is decomposed under oxygen-free (anaerobic) conditions, methane is one of the products. Thus, enormous deposits of natural gas, which is almost entirely methane, serve as a major source of fuel for home and industry. (a) Known sources of natural gas can produce 5600 EJ of energy (1 EJ 1018 J). Current total global energy usage is 4.0 10 2 EJ per year. Find the mass (in kg) of known sources of natural gas ( H rxn for the combustion of CH4 ? ? 802 kJ/mol). (b) For how many years could these sources supply the worlds total energy needs? (c) What volume (in ft3 ) of natural gas, measured at STP, is required to heat 1.00 qt of water from 25.0 C to 100.0 C (d of H2O 1.00 g/mL; d of CH4 at STP 0.72 g/L)? (d) The fission of 1 mol of uranium (about 4 10 4 ft3 ) in a nuclear reactor produces 2 10 13 J. What volume (in ft3 ) of natural gas would produce the same amount of energy?