Which substance does rate in a rate equation refer to?

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The discussion revolves around the reaction X + 2Y --> Z, which is first order with respect to both X and Y, leading to the rate expression rate = k[X][Y]. It highlights the importance of defining the rate of reaction consistently, as it can be measured through the change in concentration of either reactant. However, due to stoichiometry, the rate of change of [Y] is twice that of [X]. This raises questions about the fixed definition of "rate," which is crucial for determining the rate constant k in the Arrhenius equation. The conversation concludes with a clarification that the rate of reaction can be expressed as 1/a * d[A]/dt, where A is any reagent and a is the stoichiometric coefficient, with signs indicating whether the substance is a reactant or product.
etotheipi
For instance, consider the reaction X + 2Y --> Z.

Suppose the reaction is first order with respect to both X and Y. We can write that "rate" = k[X][Y].

However, we could measure the rate of reaction as the (negative of the) rate of change of [X] OR that of [Y], however the rate of change of [Y] is double that of [X] due to the reaction stoichiometry.

So what does this notion of rate refer to? It must have a fixed definition since from the rate and concentrations we determine k, which is part of the Arrhenius equation.

Thank you
 
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What is the unit of rate ?

[edit] never mind, the definition (you did look it up :rolleyes: ?) is clear
 
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etotheipi said:
For instance, consider the reaction X + 2Y --> Z.

Suppose the reaction is first order with respect to both X and Y. We can write that "rate" = k[X][Y].

However, we could measure the rate of reaction as the (negative of the) rate of change of [X] OR that of [Y], however the rate of change of [Y] is double that of [X] due to the reaction stoichiometry.

So what does this notion of rate refer to? It must have a fixed definition since from the rate and concentrations we determine k, which is part of the Arrhenius equation.

Thank you
It would be X. Y would disappear twice as fast.
 
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Rate of reaction = 1/a*d[A]/dt where A is any reagent; a is the stoichiometric coefficient of A in the equation, and has a positive sign for products, negative for reactants.
 
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