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Why can a match-stick light a splinter of wood but not a log of wood?

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Why can a match-stick light a splinter of wood but not a log of wood?

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The ignition temperature of a splinter of wood is much lower than that of a log of wood. Thus, a match-stick can produce sufficient heat to reach the ignition temperature of a splinter of wood and make it burn while a match-stick cannot produce sufficient heat to reach the ignition temperature of log of wood and thus cannot cause it burning.

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