Problem: World energy supplies are often measured in the unit of quadrillion British thermal units (1012 Btu), generally called a "quad." In 2015, world energy consumption is projected to be 5.81 × 1017 kJ.Current annual energy consumption in the United States is 99.4 quads. Assume that all this energy is to be generated by burning CH4(g) in the form of natural gas. If the combustion of the CH4(g) were complete and 100% efficient, how many moles of CH4(g) would need to be combusted in order to provide the U.S. energy demand?

FREE Expert Solution

1 Btu = 1054 J

1 quad = 1012 Btu


Combustion of methane:    CH4(g) + 2 O2(g) → CO2(g) + 2 H2O(l)          ΔH = -890 kJ

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Problem Details

World energy supplies are often measured in the unit of quadrillion British thermal units (1012 Btu), generally called a "quad." In 2015, world energy consumption is projected to be 5.81 × 1017 kJ.


Current annual energy consumption in the United States is 99.4 quads. Assume that all this energy is to be generated by burning CH4(g) in the form of natural gas. If the combustion of the CH4(g) were complete and 100% efficient, how many moles of CH4(g) would need to be combusted in order to provide the U.S. energy demand?

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