# 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).b) At current rates of usage, for how many years could these deposits supply the world’s total energy needs?

⚠️Our tutors found the solution shown to be helpful for the problem you're searching for. We don't have the exact solution yet.

###### 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).

b) At current rates of usage, for how many years could these deposits supply the world’s total energy needs?