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Is the reaction of acidified potassium permanganate and glucose solution a first order or a second order reaction (with respect to glucose)?

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We are looking at the reaction of glucose with potassium permanganate under acidic conditions.  This is a complicated reaction but will ultimately produce CO2 and H2O.  If you plotted the rate of the reaction versus the concentration of glucose you would get a straight line.  This tells us that the rate is directly proportional to the concentration of glucose.  So equating the two mathematically:

rate = k*[glucose]

This is the equation of a first order reaction.  So we have shown that the reaction of glucose with potassium permanganate is a first order reaction with respect to glucose.

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