Burette Created 2026-10-14 Updated 2026-10-18
A burette delivers an adjustable measured volume of a chemical solution; the change in its reading gives the delivered volume in an acid-base titration.
Its downward-increasing scale measures a change in reading, not the initial liquid inventory. For initial reading and final reading without refilling, the nominal delivered volume is . An illustrative to reading therefore represents . There is no requirement to start at zero. An air bubble disappearing from the tip uses part of the apparent delivery to fill the tip, and a hanging drop has not yet entered the sample; both break the intended volume account.
Figure 1.
A pipette selects the sample and a burette measures added titrant by two liquid meniscus readings
. Original schematic, not a photograph or experimental readout. The apparatus shows a clamped burette, mixed sample, and optional glass electrode beside the stirring bar. Enlarged illustrative scale readings increase downward; the bottom of the curved liquid meniscus gives and . Their difference is the added volume. Details.
For transparent aqueous samples, read the bottom of the liquid meniscus at eye level; viewing from above or below shifts its apparent alignment. The mark is a comparison between a curved liquid surface and a scale, not a direct measure of amount of substance. Eye-level reading and the distinction between contained and delivered volumes are part of solution preparation and volumetric calibration.[ref]
Both readings contribute measurement uncertainty. If each has independent standard deviation , their difference has standard deviation ; a common additive reading offset cancels, while a scale-factor error remains. For the inventory , uncertainty in titrant concentration remains even with perfect readings. This is why repeat delivery, independent volume calibration, and titrant standardization answer different questions.
Pipette Created 2026-10-14 Updated 2026-10-18
A pipette transfers a measured portion of a chemical solution.
For an acid-base titration, a volumetric pipette selects an aliquot whose amount of substance is from a homogeneous sample. The delivered volume depends on the instrument's calibration and drainage convention; the residual liquid of a gravity-draining volumetric pipette is allowed for in that calibration. Its mark is read using the liquid meniscus. A volume calibration alone does not establish that the sampled chemical solution has the intended concentration.[ref]
A calibration mark can be tested against an independent mass measurement. The Buffalo State-hosted Laboratory Experiment 1. Calibration of Volumetric Glassware uses a pipette, filler, conical flask, weighing bottle, balance, and thermometer. It specifies clean, freely draining glassware, bubble-free filling, an eye-level liquid meniscus reading, gravity drainage, and retaining the residual liquid allowed for by the pipette's calibration. Degassed water is delivered to a tared bottle; ten weighings and initial/final temperature readings give repeated delivered volumes using the water mass density. Their mean and standard deviation assess delivery and repeatability. The balance and thermometer must themselves be checked before claiming accuracy. The same handout describes weighing an empty volumetric flask and then weighing it filled to its mark.[ref]
The independent inference is . Agreement between repeats constrains scatter; agreement with the nominal delivery additionally needs trustworthy mass density, temperature, and balance readings. This experiment tests delivered or contained volume under its conditions. It does not prove that a subsequent solute transfer is complete or a prepared chemical solution is homogeneous.
The University of Wisconsin–Madison teaching module supplies the complementary preparation demonstration. Dissolved solute and vessel rinsings reach the volumetric flask; the contents reach room temperature before a dropper adjusts the eye-level liquid meniscus to the calibration mark. The module excludes a stirring bar during filling because its displaced volume is absent from the calibration, and requires mixing the neck liquid with the bulk chemical solution. Its self-check identifies incomplete dissolution and transfer as a cause of lower-than-intended molar concentration.[ref][ref][ref]
The observable endpoints are a liquid boundary at a mark and a delivered mass, not a direct count of solute particles. An overfilled flask has excessive final volume; removing some well-mixed chemical solution also removes solute, so it cannot recover the intended inventory merely by restoring the mark. Measurement uncertainty, contamination, incomplete transfer, and sampling before full mixing limit the inferred molar concentration. The apparatus demonstrates why the words “dilute to” refer to final chemical solution volume.
Volumetric flask Created 2026-10-14 Updated 2026-10-18
A volumetric flask prepares a chemical solution at a specified total volume, using a calibration mark.
Its mark specifies contained volume under its calibration conditions. In contrast, a volumetric pipette specifies a delivered portion. The narrow neck makes a small change of volume visible as a larger change of liquid height. The final chemical solution volume includes the solute; “dilute to ” does not mean “add of water”.[ref]
For an original dilution example, a fully transferred aliquot of acid contains . Making the final total gives analytical concentration . A subsequent aliquot contains and needs of base for one-to-one neutralization. The entire diluted flask still needs of that base: dilution preserves the selected inventory but sampling selects a fraction of it.
Overfilling lowers the intended molar concentration. Removing some well-mixed chemical solution to restore the mark also removes solute, so it does not recover the intended inventory. Full transfer, known final volume, and mixing are separate requirements.