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 5,400 EJ of energy (1 EJ = 10¹8 J). Current total global energy usage is 3.9 x 102 EJ per year. Find the mass (in kg) of known deposits of natural gas (A H for the combustion of CH4-802 kJ/mol). rxn x 10 kg CH4 (b) At current rates of usage, for how many years could these deposits supply the world's total energy needs? yr (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 59.1°C (d of H₂O-1.00 g/mL; d of CH4 at STP=0.72 g/L)? ft³ (d) The fission of 1 mol of uranium (about 4 x 10-4 ft) in a nuclear reaftor produces 2 x 10¹3 J. What volume (in ft) of natural gas would produce the same amount of energy? x 10

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Be sure to answer all parts.
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 5,400 EJ of energy (1 EJ = 10¹8 J). Current total
global energy usage is 3.9 × 102 EJ per year. Find the mass (in kg) of known deposits of natural gas (A
0
H for the combustion of CH4 = -802 kJ/mol).
rxn
x 10
kg CH4
(b) At current rates of usage, for how many years could these deposits supply the world's total energy
needs?
yr
(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 59.1°C (d of H₂O = 1.00 g/mL; d of CH4 at STP = 0.72 g/L)?
ft³
(d) The fission of 1 mol of uranium (about 4 x 10-4 ft³) in a nuclear reactor produces 2 × 10¹3 J.
What volume (in ft) of natural gas would produce the same amount of energy?
x 10
Transcribed Image Text:Be sure to answer all parts. 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 5,400 EJ of energy (1 EJ = 10¹8 J). Current total global energy usage is 3.9 × 102 EJ per year. Find the mass (in kg) of known deposits of natural gas (A 0 H for the combustion of CH4 = -802 kJ/mol). rxn x 10 kg CH4 (b) At current rates of usage, for how many years could these deposits supply the world's total energy needs? yr (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 59.1°C (d of H₂O = 1.00 g/mL; d of CH4 at STP = 0.72 g/L)? ft³ (d) The fission of 1 mol of uranium (about 4 x 10-4 ft³) in a nuclear reactor produces 2 × 10¹3 J. What volume (in ft) of natural gas would produce the same amount of energy? x 10
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