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The wood in a tree came out of the air. Hardly any of that weight was taken from the soil.

Biology Facts, sourced to Georgia Institute of Technology.

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Photosynthesis pulls carbon dioxide out of the atmosphere and uses the energy in sunlight to bolt the carbon into sugar, and sugar is what wood is made from. Soil supplies water and a trace of minerals, and that is nearly all it supplies. Van Helmont settled the question in the seventeenth century by weighing a potted willow and its soil for five years: the tree gained scores of kilograms and the soil lost almost nothing.

The claim comes from Georgia Institute of Technology.

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