MadSci Network: Other |
Thank you for the interesting question, Shannon. I have often looked at a tree and wondered how much paper could be made from the tree. When you try to answer a question like how many newspapers can be made from a tree, you have to make some assumptions about how big the tree is and how much a newspaper weighs. I will make a couple guesses and answer your question. First, I will list the assumptions I have made in solving the problem, then I will work through the solution. 1. The tree is 60 ft tall and has an average diameter of 9 inches. This is a fairly small tree, but one that is somewhat typical of a pulp wood tree. 2. The average newspaper weighs 0.5 kg. 3. The newspaper is made from mechanical pulp, which uses no chemical treatment to remove lignin or other components of the tree during the pulping process. (For more information about the manufacture of paper, please see the following answer: http:// www.madsci.org/posts/archives/jun2000/961075580.Ch.r.html.) Next, I will mention some of the values I will use to calculate the results. Note that some of these numbers are approximations and I have gathered most of the numbers from notes from classes I have taken. 1. The density of wood is 540 kg/m^3. 2. A tree is 50% wood and 50% water. 3. The yield from a mechanical pulping process is 95%. Now, for the calculations: The tree would have a volume (V=3.14*r^2*h) of 26.5 ft^3, or 0.75 m^3, which would give a tree the weighs (0.75*540=) 405 kg. Since 50% of the tree is water we have 202.5 kg of actual wood. After pulping, we will have (0.95*202 kg =) 192 kg of pulp from our tree. Since each newspaper weighs 0.5 kg, we can make (192/0.5 =) 384 newspapers from our tree. It looks like the tree in this example could make about 400 newspapers. Keep in mind that I have made several assumptions the may not be true in every instance. Some trees will be as big as 1 cubic meter rather than our tree, which was 0.75 cubic meters so you could make more newspapers from that tree. Also, some newspapers will be lighter or heavier than the 0.5 kg I assumed in the calculation, which would also change the number of newspapers able to be made.
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