Formula library

Limiting Reagent Product Yield

Limiting Reagent Product Yield
\[n_{prod}=n_{lim}\frac{\nu_{prod}}{\nu_{lim}}\]

Variables

nprodtheoretical moles of product (mol)
nlimmoles of limiting reagent (mol)
vprodstoichiometric coefficient of product
vlimstoichiometric coefficient of limiting reagent

Description

What is this formula?


This formula calculates the theoretical amount of product that can be formed from a known quantity of limiting reagent using the stoichiometric coefficients of the balanced chemical equation.


When to use it


Use this equation after identifying the limiting reagent in a chemical reaction. It is one of the most common calculations in organic synthesis, industrial chemistry, and laboratory work.


Example


Reaction:


2 H2 + O2 → 2 H2O


Given:


Limiting reagent H2 = 3.0 mol


Stoichiometric coefficient of H2 = 2


Stoichiometric coefficient of H2O = 2


Formula:


nprod = nlim × (νprod/νlim)


Substitution:


nprod = 3.0 × (2/2)


Result:


nprod = 3.0 mol


The reaction can theoretically produce 3.0 mol of water.


Applications


Organic synthesis

Reaction planning

Laboratory calculations

Industrial chemistry

Chemical engineering


Note


This formula predicts the theoretical amount of product assuming complete conversion of the limiting reagent and no side reactions. Actual production is often lower due to incomplete conversion, competing reactions, purification losses, or operational inefficiencies. Experimental yield is evaluated separately using reaction yield formulas.

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