Apparent mass in a gas
Buoyancy points upward. The gas density and displaced volume include the pan and suspension as well as the specimen; flow drag has its own sign.
IN31 · A hot specimen on a balance
After heating, how do we separate real mass loss from buoyancy and drift? A matched empty-pan heating run reveals buoyancy and balance drift. Subtract it, correct the specimen’s own displaced gas and compare the remaining loss across heating rates and atmospheres. The curve measures mass change; identifying evaporation or a chemical reaction needs additional evidence.
Heat a suspended specimen under flowing gas. Correct empty-pan readings and compare three heating rates to test a conditional single-step kinetic model.
Retained simulated weighing
Two known cold masses calibrate gain and offset; a third mass is withheld. Two reference baths calibrate each thermometer; a third checks it. A known load step calibrates balance response and an independent step checks it. An empty-pan ramp estimates thermal and time drift; a separate inert specimen verifies the complete correction. All reference values and hardware dimensions are synthetic teaching definitions.
Upward buoyancy and gas drag reduce apparent mass. Matched blanks remove the pan and reproducible drift; the specimen’s own displaced volume needs a separate correction. The gold observed curve uses feed-gas density. Reaction products can alter chamber density, so the purple kinetic mass additionally depends on the fitted product-gas balance. Its activation energy assumes one first-order forward branch, known carbon dioxide inhibition and constant displaced volume. Two ramps fit the parameters; the slower third ramp never enters that fit.
A derivative peak is a scan-dependent rate maximum, not an equilibrium decomposition temperature or a chemical identifier. A single constant-temperature rate cannot separate activation energy from its prefactor. Missing final tails, unresolved loss, incompatible references and failed withheld predictions stop kinetic reporting. No complete uncertainty interval is supplied: reference, volume, mass, gas-law and thermal-model uncertainty are not fully propagated. The observed derivative includes balance lag and a twenty-second smoothing window.
Geometry is in millimetres. One pan hangs from a null-balance beam outside the furnace; an electromagnetic coil compensates its force and a capacitive sensor detects position. The mechanical null loop is idealized fast; the acquired current readback has its own finite response. A separate nitrogen purge protects the balance. The main gas crosses the pan and exits through the side port; arrows summarize a well-mixed two-cubic-centimetre chamber. The measured sample temperature is assumed representative of a lumped specimen. A synthetic initial density of one point five milligrams per cubic millimetre sets its volume, which stays fixed as mass escapes. Furnace and specimen store sensible heat; the declared reaction absorbs heat. Gas density follows an ideal-gas mixture, and flow modifies a declared effective heat conductance. Internal gradients, reverse reaction, multiple steps, turbulence, corrosion and evolved-gas spectroscopy are omitted. Hot colour and moving gas markers are schematic, not emitted light or resolved fluid trajectories.
Physics tutorial
BackgroundA suspended pan stays inside a heated gas chamber while a protected microbalance balances its downward force. Its coil current becomes a mass-equivalent sensor signal.
Why it mattersHeating changes gas density and reaction speed together. An empty pan and independent standards distinguish those contributions before a kinetic model is fitted.
Start with the essentials
Buoyancy points upward. The gas density and displaced volume include the pan and suspension as well as the specimen; flow drag has its own sign.
Absolute temperature enters the Arrhenius factor. This is a synthetic first-order forward branch with product inhibition, restricted to monotonic heating.
The displayed loss rate is percent per minute. Differentiation uses a twenty-second window and includes the finite balance response.
Typical misconceptionOne peak identifies one chemical compound.
Better mental modelDifferent evaporating or reacting materials can lose the same mass. Gas analysis or independent chemistry is needed to identify the escaping product.
Typical misconceptionA single isothermal decay determines both activation energy and prefactor.
Better mental modelIt determines their combined rate at that temperature. Many parameter pairs share that rate; different heating histories help separate them.
Hold the gold grip and rotate it, then save the changed setup.
What to observe: Flow changes gas residence time, heat transfer and force on the pan. Old records retain their original setup.Compare A complete loss with Product gas inhibits.
What to observe: The product-rich gas delays the assumed release reaction. A narrow reaction-temperature range can leave the activation energy unresolved.Choose Heating outruns the sample and inspect the temperature curves.
What to observe: The programmed temperature, furnace and actual specimen separate. The fitted rate uses the measured specimen channel.Open the raw sensor and calibration panel.
What to observe: Even an empty pan drifts during heating. Each specimen run has a separate blank under the same program, gas and flow.Choose The tail is missing.
What to observe: The observed partial loss remains visible. Full-step normalization and activation parameters are withheld.How physics instruments measure · Reading path
Articles on this path that use this experiment, followed by the other experiments they suggest.