Off The Top Of My Head

Are biofuels reasonable?

Posted in Uncategorized by waltermilner on August 3, 2008

Just reading something by Obama, set me to wondering whether it was possible to meet energy requirements from ethanol from plants. So I did some calculations (and some statistics gathering thanks to Google). The numbers refer to the USA:

The power from sunlight (the solar constant) is about 1.4 kW/m2

This is if the sun is overhead – away from the equator maybe we get half this – 0.7 kW/m2

Changing this to Joules of energy per year, you get about 2 X 1010

The growing season might be half a year, so that is 1010 Joules per year – on a square meter.

Suppose plants convert sunlight to fuel with an efficiency of 10%. This gives us 109 Joules per year on a square meter.

So how much land is needed?

Total energy consumption of the US in ‘liquid form’ = petroleum, diesel etc is 40 quadrillion BTU, which converts to 4 X 1019 Joules per year.

So we need 4 X 1010 square meters of land. How much have we got?

The US has about 940 million acres of agricultural land, which is 4 X 1012 square meters.

So only 1% of agricultural land could meet energy needs. If the conversion efficiency is down to 1%, that’s still only 10% of the land.

So they are reasonable.

One Response

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  1. raisen1964 said, on August 9, 2008 at 2:16 pm

    To get a better grasp, how much land does the US currently have under/or available to the plough (not that the US is without wilderness) ?

    If you do the same calculation for UK how do the numbers stack up ? Here we have higher population density and a whole lot less land available (‘cos so much of it is already under concrete).


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