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Thanks for your post with numbers.
I tried to calculate.
You wrote that with natural gas you would spend only 0.48 instead of 3.50 with gasoline.
But you didn't show calculation regarding wood.
I divided 14 lb by 5120
the result is 0.002734 which is the number of cords to replace one gallon gasoline
then I multiply 0.002734 by 150 (the price of a cord
the result is 0.41
that is the price of wood to replace one gallon of gasoline

so i think with the price you provide, wood is a bit cheaper tha natural gas.
summarizing:
gasoline \$ 3.50
natural gas \$ 0.48
wood \$ 0.41

OK, natural gas is more confortable.

But in places were natural gas costs 3 times the price of U.S. (it's the case of the most part of the world), the use of wood is very cheaper.

Correct me if my calculation is wrong

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