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Energy and Human Ambitions on a Finite Planet, 2021a

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14 Biological <str<strong>on</strong>g>Energy</str<strong>on</strong>g> 236<br />

We c<strong>on</strong>clude by listing some pros <str<strong>on</strong>g>and</str<strong>on</strong>g> c<strong>on</strong>s for biologically-derived<br />

energy, beginning with the advantageous aspects:<br />

◮ Biofuels offer a possible liquid fuel substitute to support transportati<strong>on</strong><br />

needs;<br />

◮ Biological energy relies <strong>on</strong> dependable solar input, replenished as<br />

harvested stocks grow back;<br />

◮ Biofuels represent a form of storage of solar energy, mitigating<br />

intermittency;<br />

◮ Methods for growing <str<strong>on</strong>g>and</str<strong>on</strong>g> harvesting crops are well established;<br />

◮ Burning biomass is low-tech <str<strong>on</strong>g>and</str<strong>on</strong>g> likely to remain part of our<br />

energy portfolio.<br />

And the less savory aspects:<br />

◮ It is difficult to scale biological energy to meaningful multi-terawatt<br />

levels;<br />

◮ Heavy reliance <strong>on</strong> biological energy co-opts earth’s biology <str<strong>on</strong>g>and</str<strong>on</strong>g><br />

displaces natural habitat;<br />

◮ Cultivating biofuels competes with food producti<strong>on</strong> for water <str<strong>on</strong>g>and</str<strong>on</strong>g><br />

l<str<strong>on</strong>g>and</str<strong>on</strong>g> resources;<br />

◮ Low EROEI for biofuels reduces net energy available;<br />

◮ Smoke <str<strong>on</strong>g>and</str<strong>on</strong>g> other pollutants from burning biomass can be problematic.<br />

14.5 Problems<br />

1. A large tree might have a trunk 0.5 m in diameter <str<strong>on</strong>g>and</str<strong>on</strong>g> be 40 m tall.<br />

Even though it branches out many times, pretend all the wood<br />

fits into a cylinder maintaining this 0.5 m diameter for the full 33: i Water has a density of 1,000 kg/m 3 .<br />

height of the tree. Wood floats, 33 so let’s say it has a density around<br />

800 kg/m 3 . How many kilograms of CO 2 did this tree pull out of Hint: carb<strong>on</strong> dioxide is 44/12 times the mass<br />

the atmosphere to get its carb<strong>on</strong>, if we treat the tree’s mass as 50% of plain carb<strong>on</strong>.<br />

carb<strong>on</strong>?<br />

2. Using the geometry <str<strong>on</strong>g>and</str<strong>on</strong>g> density of the tree in Problem 1, ifthe<br />

resulting wood has an energy density similar to carbohydrates<br />

(4 kcal/g), <str<strong>on</strong>g>and</str<strong>on</strong>g> the tree spent 50 years accumulating this bulk while<br />

receiving an average of 250 W/m 2 of solar input over 5 m<strong>on</strong>ths<br />

each year in a leafy area averaging 200 m 2 to receive sunlight, what<br />

is the net photosynthetic efficiency of the tree?<br />

3. The U.S. gets 2.4 qBtu per year of energy from burning biomass<br />

(mostly firewood). At an energy density of 4 kcal per gram, <str<strong>on</strong>g>and</str<strong>on</strong>g> a<br />

populati<strong>on</strong> of 330 milli<strong>on</strong>, how many 5 kg logs per year does this<br />

translate to per pers<strong>on</strong>?<br />

Now if you could just think of a way to put<br />

the answer <strong>on</strong> a log scale, ha ha.<br />

© 2021 T. W. Murphy, Jr.; Creative Comm<strong>on</strong>s Attributi<strong>on</strong>-N<strong>on</strong>Commercial 4.0 Internati<strong>on</strong>al Lic.;<br />

Freely available at: https://escholarship.org/uc/energy_ambiti<strong>on</strong>s.

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