If A log is burning in a fireplace. If the amount of oxygen reaching the log is decreased what happened to the reaction rate?

If A log is burning in a fireplace. If the amount of oxygen reaching the log is decreased what happened to the reaction rate?
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The open "Sigrees" or coal stoves often require fanning to sustain burning because of (1) tendency of carbon dioxide to form a layer along with dust smoke (2) lack of oxygen in the surroundings of sigrees (3) accumulation of smoke and dust over the sigrees (4) interrupted release of moisture from the material

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