Can the amount of product at a given time be calculated with multiple reactants?

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Calculating concentrations over time in reactions with multiple reactants poses challenges that differ from single reactant scenarios. The integrated rate laws for single reactants effectively relate time, final concentration, and initial concentration. However, for multiple reactants, the complexity increases significantly, making it difficult to derive a straightforward formula. The discussion highlights the potential approach of integrating the inverse of the rate law, but acknowledges that this method may be overly complicated and requires advanced knowledge, such as multivariable integration. The conversation also notes that finding a general solution is particularly challenging in cases like oscillating reactions, indicating the need for more accessible methods or tools to analyze multi-reactant systems.
djh101
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And by calculated I mean calculated in a fairly simple way. Single reactant problems have the integrated rate laws that relate time, final concentration, and initial concentration. However, I can't seem to find anything on calculating concentration at time t in a reaction with multiple reactants. The only way I can think of is integrating the inverse of the rate law to get a formula of time with respect to concentration. This solution worked fine for a single reactant rate law, but integrating a multiple reactant rate law a) seems a little over-complicated and b) is a little out of my reach, since I have yet to learn multivariable integration.

So anyway... is there a simple way to find out the concentrations of reactants/products over time in a multi-reactant reaction?
 
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In full generality this is difficult; think e.g. of oscillating reactions.
 
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