Rate of Reaction: 3A + 5B --> 4C + 2D

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The discussion centers on the rate of reaction for the elementary process 3A + 5B --> 4C + 2D, where the rate is defined by the equation r = k [A]3 [B]5. The user questions why the rate of production of A is three times the rate of reaction. It is established that the rate of production of a reactant is proportional to its stoichiometric coefficient in the balanced equation, leading to the conclusion that the rate of production of A is indeed three times the rate of reaction due to its coefficient.

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quietrain
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3A + 5B ----> 4C + 2D

if this is an elementary process

the rate of reaction is given as

r = k [A]3 [ B ]5 , where k is rate constant, [x] are concentrations

so my question is , why is the rate of production of A = 3 times the rate of reaction?

since the rate of reaction has already taken into account the 3 moles of A, shouldn't the rate of production of A = rate of reaction ?

thanks!
 
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