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Percent Yield in Chemistry
% Yield = (Actual Yield / Theoretical Yield) × 100
Theoretical yield is calculated from the limiting reagent using stoichiometry. If 10.0 g of reactant A (molar mass 50 g/mol = 0.2 mol) reacts with excess B in a 1:1 reaction to form product C (molar mass 100 g/mol), theoretical yield = 0.2 mol × 100 g/mol = 20.0 g. If 16.5 g is actually isolated, % yield = (16.5 / 20.0) × 100 = 82.5%.
DNA/RNA Yield in Molecular Biology
Nucleic acid yield is expressed as ng/μL (concentration) or total μg. A260 absorbance × dilution factor × 50 (for dsDNA) or 40 (for RNA) gives concentration in μg/mL. Yield depends on sample type, lysis efficiency, and purification method. Expected yields: ~10–30 μg DNA per 1 mL whole blood, ~500 ng–5 μg RNA per 10 mg tissue.
Biomass and Product Yield in Fermentation
Yield coefficients describe fermentation efficiency. Y(X/S) = g biomass / g substrate consumed. Y(P/S) = g product / g substrate. For E. coli growing on glucose, Y(X/S) ≈ 0.4–0.5 g/g under aerobic conditions. Maximum theoretical yields are calculated from metabolic stoichiometry and electron balance.
Glossary
Frequently Asked Questions
% Yield = (Actual Yield / Theoretical Yield) × 100. Theoretical yield is the maximum product possible based on the limiting reagent and the stoichiometry of the balanced equation. Actual yield is what is physically isolated after the reaction and purification. Yields below 100% occur due to side reactions, incomplete reactions, product loss during purification, or measurement error.
Theoretical yield is the mass of product that would be obtained if the reaction went to 100% completion with no losses. Calculate it by: (1) identifying the limiting reagent, (2) converting its mass to moles, (3) using the mole ratio from the balanced equation to find moles of product, and (4) converting to grams using the product's molar mass. The theoretical yield sets the upper limit for actual yield.
In academic lab synthesis, yields of 70–90% are considered good. Industrial processes optimize for yields above 95% to reduce waste and raw material costs. Multistep syntheses multiply individual step yields — a 5-step synthesis with 85% yield per step gives an overall yield of only 0.85⁵ ≈ 44%. This is why each synthetic step must be carefully optimized in complex molecule preparation.
RNA concentration by NanoDrop or spectrophotometer: [RNA] (μg/mL) = A260 × dilution factor × 40 (the extinction coefficient for single-stranded RNA). Convert to ng/μL by dividing by 1000. Total yield (μg) = concentration (μg/mL) × volume (mL). RNA purity is assessed by the A260/A280 ratio (ideal: ~2.0) and A260/A230 ratio (ideal: 2.0–2.2).