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

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SUMMARY

The discussion centers on calculating concentrations over time in reactions involving multiple reactants. While single reactant problems can utilize integrated rate laws to relate time and concentration, the participant struggles to find a straightforward method for multi-reactant scenarios. They propose integrating the inverse of the rate law but express concerns about the complexity and their current lack of knowledge in multivariable integration. The consensus indicates that calculating concentrations in multi-reactant reactions is inherently complex and may require advanced mathematical techniques.

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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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