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23 Nov 2019

When there are forest fires, the mean free path for light in Los Angeles can be reduced to as little as 1 km. If burning a tree produces smoke particles with an average radius of 10-5 m, compute the fraction of the local atmospheric mass that must be smoke. Assume that the density of a smoke particle is 1000 kg/m-3. Assume trees are cylinders that are 1 m in diameter and 10 m in height. How many trees are required to burn in order to create enough smoke to reduce the mean free path in a region that is 1 km2 in surface area and 1 km in height? Do you think that a forest could have this number of trees in 1 km2? Assume the average distance between trees is 3 m.

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