# Problem: When organic matter decomposes 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 deposits of natural gas can produce 5600 EJ of energy (1 EJ = 10 18 J). Current total global energy usage is 4.0 x 102 EJ per year. Find the mass (in kg) of known deposits of natural gas (ΔH°rxn for the combustion of CH4 = −802 kJ/mol).d) The fission of 1 mol of uranium (about 4 x 10 −4 ft3) in a nuclear reactor produces 2 x 10 13 J. What volume (in ft3) of natural gas would produce the same amount of energy?

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###### Problem Details

When organic matter decomposes 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 deposits of natural gas can produce 5600 EJ of energy (1 EJ = 10 18 J). Current total global energy usage is 4.0 x 102 EJ per year. Find the mass (in kg) of known deposits of natural gas (ΔH°rxn for the combustion of CH4 = −802 kJ/mol).

d) The fission of 1 mol of uranium (about 4 x 10 −4 ft3) in a nuclear reactor produces 2 x 10 13 J. What volume (in ft3) of natural gas would produce the same amount of energy?