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Level 2 · PractitionerLessonPart 08 · page 8 of 1475 minScienceCraft
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Development Kinetics: Time, Temperature, Agitation and Exhaustion

Kodak’s sheet for D-76 says eight minutes at 20 °C for Tri-X in a small tank. Four other things are inside that sentence and none of them is printed next to it: an agitation scheme, a tank volume, a developer that has processed no film before this one, and a target contrast that Kodak chose on your behalf. Change any one and the eight minutes is wrong.

This page is about what actually sets the rate, and about the step almost nobody makes explicitly — turning a rate into the two things you can see on the negative, which are its contrast and the shadow detail it did or did not record. Part III owns the kinetics; this page spends them.

The shape, and why the shadows finish first

Section titled “The shape, and why the shadows finish first”

Development has three stages and you can watch them in a tray. There is an induction period in which nothing visible happens — ILFORD is precise about it for a correctly exposed fibre-base print, where the image begins to appear after 35 seconds. There is a rise, steepest where the exposure was heaviest because those regions carry the most developable crystals. And there is a flattening, which arrives in the shadows long before it arrives in the highlights.

Part III drew that pair of curves and the conclusion follows from their divergence rather than from either one: extending development raises the highlights much more than the shadows, so it raises contrast rather than raising exposure. ILFORD’s paper sheet gives the extreme case — after the recommended one to two minutes, a fibre-base print may be developed for six minutes “without any noticeable change in contrast or fog”, which is what development to completion means and why print times are quoted so casually.

Film is never developed to completion, and that is the whole reason this page exists. A film time is chosen part-way up the curve, and where you stop is a contrast decision.

Development rate against temperature, from Kodak's own D-76 tables

the 20 °C reference1718192021222324250.70.80.91.01.11.21.31.41.51.6Developer temperature, °CRate relative to the same film at 20 °C
  • T-MAX 100 Professional
  • TRI-X Pan
  • PLUS-X Pan
Show the numbers behind this plot
Three rising sets of points showing relative development rate against temperature, computed as the reciprocal of Kodak's published small-tank development times for D-76 at full strength, each scaled so that its own 20 degrees C value is 1.00. T-MAX 100 Professional rises from 0.857 at 18 degrees through 1.00 at 20, 1.125 at 21 and 1.286 at 22 to 1.500 at 24. TRI-X Pan rises from 0.889 through 1.00, 1.143 and 1.231 to 1.455. PLUS-X Pan rises from 0.846 through 1.00, 1.100 and 1.222 to 1.467. All three are close together and all three are rising by roughly nine to ten per cent per degree, so six degrees of warming multiplies the rate by about one and a half. The three films are not identical, which is the second teaching point: the same developer at the same temperatures gives measurably different temperature coefficients on different emulsions.
SeriesDeveloper temperature, °CRate relative to the same film at 20 °C
T-MAX 100 Professional18.000.86
T-MAX 100 Professional20.001.00
T-MAX 100 Professional21.001.13
T-MAX 100 Professional22.001.29
T-MAX 100 Professional24.001.50
TRI-X Pan18.000.89
TRI-X Pan20.001.00
TRI-X Pan21.001.14
TRI-X Pan22.001.23
TRI-X Pan24.001.46
PLUS-X Pan18.000.85
PLUS-X Pan20.001.00
PLUS-X Pan21.001.10
PLUS-X Pan22.001.22
PLUS-X Pan24.001.47
Measured, in the sense that every point is the reciprocal of a time Kodak publishes in the J-78 data sheet for D-76 at full strength with agitation at 30-second intervals; the course has inverted and normalised them and fitted nothing. Kodak's times are rounded to the nearest quarter-minute, which is up to five per cent on a five-minute time, so the scatter between films is at the edge of what the tables can resolve.

Route one, the manufacturer’s rule. ILFORD instructs its users to increase the development time by 10 per cent for each 1 °C drop and decrease it by 10 per cent for each 1 °C rise, with a worked example repeated on the HP5 Plus sheet: 6 minutes at 20 °C becomes 4½ at 23 °C and 9 minutes at 16 °C. That is a published figure from a manufacturer, not a darkroom rule of thumb.

Route two, the manufacturer’s chart. ILFORD’s separate compensation chart tabulates the time at eight temperatures for every 20 °C time, and Part III showed that its ratios are the same all the way down, so a temperature change multiplies the time rather than adding to it.

Route three, the physics. Take the reciprocals of a published time table as relative rates, plot their natural logarithms against 1/T in kelvin, and the slope is −Ea/R.

The coefficient belongs to the developer, not to development

Section titled “The coefficient belongs to the developer, not to development”

Two of Kodak’s 1928 statements complicate the tidy picture above, and both are worth carrying.

The first: the temperature coefficient of development varies with the developing agent, being least with agents of high reduction potential such as metol and most with agents of low potential such as hydroquinone. Kodak draws the consequence explicitly for a mixed developer. At low temperature the hydroquinone is very inert while the metol is barely slowed, so the bath behaves as though it contained an excess of metol; at high temperature the hydroquinone gains far more than the metol, and the situation reverses. A cold MQ developer and a warm one are not the same developer run at two speeds; they are two different developers.

The second is the one that ends the argument for pushing the temperature: the fog reaction has a different and much higher temperature coefficient than development. A developer that gives good density with low fog at a normal temperature “may produce very bad fog if the temperature is high”. There is no compensation chart for that, because it is not a time you can shorten your way out of.

Kodak’s own process-control publication sets the tolerance that follows: temperature variations greater than 0.3 °C in the developer will affect process control and image quality. Not a degree — three tenths of one.

Agitation is a transport variable, and its size is published

Section titled “Agitation is a transport variable, and its size is published”

Kodak’s 1928 primer already had the shape of it: the speed of development depends chiefly on the rate at which the developer diffuses into the film. Kodak’s modern process-control sheet says what agitation is for in one sentence that is transport from beginning to end — it maintains uniform solution activity by removing exhausted solution from the emulsion surface and replacing it with fresh solution.

Part III’s diffusion page owns the boundary layer this acts on, and its kinetics page owns the distinction between a reaction-limited and a transport-limited process. What belongs here is the number, and ILFORD publishes it: switching from its intermittent spiral-tank cycle — four inversions during the first ten seconds of each minute — to continuous agitation in a dish or a rotary tube requires the time to be cut by about 15 per cent.

That 15 per cent is the fraction of the development that was waiting for supply. It is not the whole reaction, so development is not purely transport-limited; it is far from nothing, so it is not purely reaction-limited either. And it means an agitation scheme is part of a published time, worth about a degree and a half of temperature.

Four things run down, and the bath fails when the first of them does

Section titled “Four things run down, and the bath fails when the first of them does”

Kodak’s 1928 primer lists what happens to a developer in use, and it is more than the obvious one: the agent and the sulfite are being oxidised by air; the agent is being consumed doing useful work; and oxidation products together with sodium bromide and iodide are accumulating. Add the acid load from the alkalis page and four independent things are moving.

  • Developing agent, consumed by every silver ion reduced — and ILFORD points out that this depends on the pictures, not the film count: negatives of night shots that develop nearly clear use very little agent, while beach scenes in bright sun that come out well blackened use a great deal.
  • Buffer capacity, consumed by the acid the same development releases and by anything carried in.
  • Restrainer, which does not run down but accumulates, as the restrainers page sets out.
  • The preservative, and with it the protection of everything else, whose loss is set by the headspace in the bottle rather than by the film put through.

Kodak’s primer gives the three symptoms that end a deep tank’s life, and each maps onto one of those: the time for complete development becomes excessively long; the solution stains or fogs badly; or the accumulation of by-products is so great that shadow detail is lost even with full development. That third one is the important one, because it is the failure that time cannot fix.

Three working methods, three sets of published numbers, and a genuine choice between them.

Reused stock Replenished One-shot, diluted
ILFORD ID-11 or MICROPHEN 10 films per litre, time raised 10 % per film replenisher withdrawn 2012 1+1 or 1+3, fresh each time
ILFORD PERCEPTOL 4 films per litre, not recommended beyond 1+1 or 1+3, fresh each time
Kodak D-76 16 sheets of 8 × 10 per gallon, or 4 per litre, time raised 15 % after every four 120 per gallon, at 22.2 to 29.6 mL of D-76R per roll, with no time increase 1:1, 8 sheets per gallon, discarded after one batch
Keeping, unused 6 months in a full bottle; ILFORD adds 1 month half full, 4 months in a deep tank with a floating lid as the developer 24 hours at most, both makers

Replenishment buys a factor of seven and a half in capacity and, more valuable than that, holds the time constant, which is what makes a process controllable at all. Reuse buys economy and pays in exhaustion compensation that is admittedly approximate — ILFORD says so itself, that the compensation can only be an approximation across a range of circumstances.

ILFORD’s own summary of the trade is the clearest statement of it in the corpus, and it is worth having in front of you when the economy of a litre is tempting. Reusing developer lowers image quality slightly and increases the risk of physical damage; the developer oxidises with reuse and storage; precipitates may form; and tiny particles of emulsion from films processed previously may be held in suspension. One-shot processing is recommended when image quality, reliability and consistency are more important than economy. ILFORD does not recommend reusing diluted developers at all, and does not recommend push processing in a reused one.

Time becomes contrast, and contrast becomes speed

Section titled “Time becomes contrast, and contrast becomes speed”

Everything above is a rate. What a photographer buys with it is a gradient.

Kodak’s definition of contrast index in its process-control publication is written for exactly this purpose: a measure of the degree of development that determines how well the density range of a normally exposed negative will print on a grade 2 paper. It is measured as the slope between two particular points on the characteristic curve, chosen to correspond to the minimum and maximum densities normally used, so unlike gamma it takes the shape of the toe into account. ILFORD expresses the same quantity as and states the target its published times aim at: about 0.62. Part XIII owns both definitions properly; what belongs here is the curve that connects them to the clock.

Contrast index against development time

ILFORD's stated target, Ḡ ≈ 0.6245678910111213140.400.450.500.550.600.650.700.750.80Development time, minutesContrast index
  • Contrast index of the workbook example
Show the numbers behind this plot
A single curve rising from left to right and flattening as it goes, showing contrast index against development time at a fixed temperature, agitation scheme and developer. At five minutes the contrast index is 0.51, at six 0.55, at eight 0.62, at ten 0.67, at twelve 0.72 and at thirteen 0.73. The rise from five to eight minutes is 0.11 for three minutes; the rise from ten to thirteen is 0.06 for the same three minutes, so the curve is steadily losing its slope. A horizontal guide is drawn at 0.62, which is both the value this example reaches at eight minutes and the average gradient ILFORD states its own published development times aim at. The teaching point is that a fixed percentage error in time costs less contrast at long times than at short ones, and that halving the time does not halve the contrast index because the curve does not pass through the origin.
SeriesDevelopment time, minutesContrast index
Contrast index of the workbook example5.000.51
Contrast index of the workbook example6.000.55
Contrast index of the workbook example8.000.62
Contrast index of the workbook example10.000.67
Contrast index of the workbook example12.000.72
Contrast index of the workbook example13.000.73
Every value is published, in Kodak's H-740 sensitometry workbook, but the workbook names neither the film nor the developer — it calls them XYZ and A — so this is a taught shape rather than a measurement of any material, and the plot is labelled accordingly. The horizontal guide is a separate manufacturer's statement: ILFORD publishes its development times as targeting a Gbar of about 0.62, so the two independent sources meet at the same number for a normally developed film. The curve is drawn to show the shape, not measured from a real material. Your own materials will differ, and measuring them is what the sensitometry part of the course is for.

Read the curve as a control law. Between five and eight minutes the contrast index climbs 0.11; between ten and thirteen it climbs 0.06 for the same three minutes. A short development time is a twitchy one, which is a second reason for the five-minute floor beyond uniformity. Kodak’s own advice follows the same logic: if negatives are consistently flat, increase the time slightly, by 10 to 15 per cent; if too contrasty, decrease it by the same.

Kodak’s workbook is also explicit that the same curve is moved by four factors, not one: time, temperature, agitation and developer. Three of them are the subject of this page, and the fourth is the subject of the rest of this part.

Reading a manufacturer’s chart critically

Section titled “Reading a manufacturer’s chart critically”

Six questions, in the order they bite.

What agitation does this time assume? ILFORD’s times assume four inversions in the first ten seconds of each minute; Kodak’s assume five seconds at 30-second intervals with two to five cycles. Continuous agitation is 15 per cent shorter. If your scheme is neither, the time is a starting point.

What contrast is it aiming at? ILFORD says Ḡ of about 0.62 and that higher or lower may be preferred. A time is an answer to a question about contrast, and if you want a different contrast it is the wrong answer.

Is the developer fresh? All of these times are for a bath that has processed nothing. The compensation schedules exist precisely because the published time is the first film’s.

What volume, in what tank? Kodak’s 10 per cent for a small tank is a real correction that has nothing to do with chemistry beyond the ratio of solution to emulsion.

Does the chart claim more than it measured? ILFORD offers its compensation chart as “a useful guide for all film/development combinations”, which is a large claim given that Kodak measured different temperature coefficients for different agents in 1928 and that the table above shows a spread across five films in one developer. A film’s own sheet beats a general chart.

Where does the chart stop? ILFORD’s runs from 18 to 27 °C and Kodak’s tables from 18 to 24 °C. Outside those, you are extrapolating — and at the warm end there is a second reason to stop, because gelatin softens and the fog reaction’s higher temperature coefficient is waiting.

  • A published time hides four variables: agitation, tank volume, developer history and a target contrast the manufacturer chose.
  • Development has a shape, not a duration. The shadows flatten first, so extending development raises contrast rather than exposure, and a thin negative from under-exposure cannot be developed out.
  • Ten per cent per degree is a manufacturer’s published figure, and the Arrhenius fit to Kodak’s own D-76 tables gives 61 to 74 kJ/mol across five films — clustering on the 67 kJ/mol Part III obtained from ILFORD’s chart — with Q₁₀ between 2.3 and 2.7.
  • The coefficient belongs to the developer. A cold MQ bath behaves as if it held excess metol and a warm one as if it held excess hydroquinone, and fog’s coefficient is higher than development’s, which is why warm processing has a ceiling.
  • Agitation is transport, and ILFORD prices it at 15 per cent, worth about a degree and a half.
  • Four things run down at different rates and the bath fails when the first does; the failure that matters is loss of shadow detail, because time does not fix it.
  • One-shot, reuse and replenishment are three published methods with three sets of numbers; replenishment is the only one that holds the time constant.
  • Time buys contrast index, and the curve flattens, so short times are twitchy and long ones are forgiving. A developer changes a film’s effective speed, and the course keeps that phrase apart from the manufacturer’s figure.

Check your understanding

Question 1. Kodak publishes 9 minutes for Tri-X Pan in D-76 at 18 °C and 5½ minutes at 24 °C, both in a small tank. What activation energy does that imply, and why should the number be treated cautiously?
Show the answer and why

Answer: About 61 kJ/mol, from the slope of ln(1/t) against 1/T; cautiously because the times are rounded to the nearest quarter-minute over a six-degree range, and because it describes one film in one developer

Take rates as reciprocals of times, plot their logarithms against 1/T in kelvin, and the slope is −Ea/R with R = 8.314 J per mol per K. Kodak’s five-point Tri-X row gives 60.6 kJ/mol at R² 0.988, which predicts 8.8 per cent per degree near 20 °C and a Q₁₀ of 2.27. The cautions are real and worth carrying: quarter-minute rounding is up to five per cent of a five-minute time, the range spans six degrees, and the five films in the same table spread from 61 to 74 kJ/mol. What survives all of that is the agreement with ILFORD’s published ten per cent per degree and with Part III’s independent fit at 67 kJ/mol.

Question 2. A photographer moves from a spiral tank with ILFORD’s standard inversion cycle to a rotary processor and keeps the same time. What happens, and by roughly how much?
Show the answer and why

Answer: The negatives develop further than intended, by roughly the 15 per cent ILFORD instructs users to remove for continuous agitation — about the same as a degree and a half of extra temperature

Agitation acts on the boundary layer, replacing solution the emulsion has already depleted, and Kodak’s process-control sheet defines it exactly that way. ILFORD prices the whole of that contribution at about 15 per cent: it instructs a 15 per cent reduction for dish processing with continuous agitation and the same for a rotary tube without a pre-rinse. The fact that the figure is 15 per cent rather than 50 or 2 is itself informative, because it says development is neither purely transport-limited nor purely reaction-limited. Note also the direction of the volume correction, which is separate: a small tank needs 10 per cent more time, not less.

Question 3. Kodak’s workbook gives a contrast index of 0.51 at 5 minutes, 0.62 at 8 and 0.73 at 13. A darkroom timer is consistently 30 seconds fast. Where does that error cost most, and why?
Show the answer and why

Answer: At short times, because the contrast-index curve is steepest there — 0.11 of contrast index across three minutes at the short end against 0.06 across three minutes at the long end

The curve flattens, so the same slice of time buys progressively less contrast as development proceeds: 0.11 between five and eight minutes, 0.06 between ten and thirteen. A fixed timing error is therefore a larger contrast error at the short end. That is a second and independent argument for the five-minute floor both manufacturers publish — the first being uniformity, since below five minutes the time the developer takes to soak in stops being small compared with the development itself. Long dilute times are forgiving of the clock and unforgiving of everything else.

Question 4. A litre of ID-11 stock has developed nine films on ILFORD’s compensation schedule and the tenth is due. A friend suggests topping the bottle up with fresh stock instead. What is wrong with that?
Show the answer and why

Answer: It restores volume and dilutes the accumulated bromide, but restores no ratio — the result is a weaker version of a used developer rather than a fresh one, which is why a replenisher is a different formula

Four things have moved independently in that bottle — agent consumed, buffer spent, restrainer accumulated, preservative oxidised — and adding working-strength developer moves all four back by the same fraction, which is not the fraction any of them needs. A replenisher is designed to put back what the bath spends at the rate it spends it, which is why D-76R carries the same sulfite as D-76, half again as much agent and ten times the borax. Kodak’s replenished capacity is 120 sheets per gallon against 16 unreplenished, with no time increase at all; ILFORD, having withdrawn its replenisher in 2012, tells users to compensate with time instead and admits the compensation is an approximation.

Question 5. Kodak’s process-control publication says of the speed value plotted on a control chart that "it is an arbitrary number that relates only to the control strip; it is not an ISO/ASA speed". Why does this course quote that?
Show the answer and why

Answer: Because it is the same distinction the course draws between film speed and effective film speed, and it licenses a working figure that is measured under a stated criterion rather than borrowed from a standard

A speed figure means nothing without the development that produced it — Kodak’s own workbook says different developers yield different film speeds and that the developer the standard method specifies is similar to D-76. So there are two different quantities with one name, and this course keeps them apart: film speed is the manufacturer’s determination under a standard development, effective film speed is what your developer at your contrast actually delivers. The practical consequence is visible in ILFORD’s own tables, which quote HP5 Plus at EI 250 and 320 in PERCEPTOL and at 400 and above in ID-11 and MICROPHEN, without ever printing a speed loss.

Question 6. Kodak’s 1928 primer says the fog reaction has a much higher temperature coefficient than development. What follows for someone processing at 27 °C to save time?
Show the answer and why

Answer: Fog rises faster than image density with temperature, so the compensation chart holds the image density but not the fog, and the negatives lose shadow separation to a raised base

A compensation chart is a statement about one rate — the image-forming one. If a second, unwanted reaction has a steeper temperature dependence, then correcting the time to hold image density constant necessarily lets the fog run ahead. Kodak states the outcome directly: a developer that gives good density with low fog at a normal temperature may produce very bad fog if the temperature is high. That is why both manufacturers’ charts stop where they do, and why the softening of gelatin, which is the fault people expect at high temperature, is only the second reason.

Sources for this page

12 cited · checked 2026-09-04

  1. 01KODAK Developer D-76, technical data sheet J-78Kodak Alaris Inc., 2017§ Agitation, including the small-tank procedure and the instruction to let the tank stand for the remainder of the first 30 seconds; the development-time tables for roll films in D-76 full strength and at 1:1 at 18, 20, 21, 22 and 24 degrees C; the note that tank development times shorter than 5 minutes may produce poor uniformity; the instruction to adjust the time by 10 to 15 per cent for contrast and by 10 per cent for a small tank volume; and the storage life and capacity table with its 15 per cent time compensation and its replenishment ratebusiness.kodakmoments.com/sites/default/files/files/resources/j78.pdftier 1, primary2026-09-04
  2. 02PERCEPTOL, ID-11 and MICROPHEN film developers (ILFORD technical information)HARMAN technology Limited, 2024§ Development times and the instruction to change them by 10 per cent per degree C; the spiral-tank agitation cycle of four inversions in the first ten seconds of each minute; the statement that continuous agitation in a dish reduces times by about 15 per cent and that rotary processing needs the same reduction; the Gbar target of about 0.62; reusing developer without replenishment, the films-per-litre figures and the 10 per cent per film schedule; working solution life; and the passage on one-shot processingilfordphoto.com/amfile/file/download/file/1829/product/550tier 1, primary2026-09-04
  3. 03Film Development Time / Temperature Compensation ChartHARMAN technology Limited (ILFORD Photo)§ The whole chart, and the statement that it is a useful guide for all film and developer combinations, with the warning that times below 5 minutes are not recommendedilfordphoto.com/wp/wp-content/uploads/2017/03/Temperature-compensation-chart.pdftier 1, primary2026-09-04
  4. 04Elementary Photographic ChemistryEastman Kodak Company, 1928§ Chapter III: the reduction potential of the agents, that a very little change in temperature affects hydroquinone greatly and Elon very little, and that the speed of development depends chiefly on the rate at which the developer diffuses into the film; Chapter VII: the three things that happen to a developer with use and the three reasons a deep-tank developer is discarded; Chapter XI: the temperature coefficient, its definition over 10 degrees C, its variation with the developing agent, the consequence for a mixed developer at high and low temperature, and the statement that the fog reaction has a much higher temperature coefficient than developmentarchive.org/details/elementaryphotog00east_0tier 1, primary2026-09-04
  5. 05Basic Photographic Sensitometry Workbook, publication H-740Eastman Kodak Company§ Contrast Index and the straightedge construction that measures it; the family of curves at 5, 8 and 13 minutes and its contrast indices of 0.51, 0.62 and 0.73; the additional data giving 0.55 at 6 minutes, 0.67 at 10 and 0.72 at 12; the four factors that affect contrast index; the Time-Contrast Index curve and its purpose; and the note that different developers yield different film speeds and that the developer specified by the standard method is similar to KODAK Developer D-76kodak.com/content/products-brochures/Film/Basic-Photographic-Sensitometry-Workbook.pdftier 1, primary2026-09-04
  6. 06Monitoring and Troubleshooting KODAK Black-and-White Film Processes, publication Z-133E, bound with How to Process and Print Black-and-White Film, publication AJ-3Eastman Kodak Company, 2005§ Z-133E: the definitions of contrast index, speed and D-min as the critical sensitometric parameters, with the statement that the speed value is an arbitrary number relating only to the control strip and is not an ISO or ASA speed; aims, action limits and control limits; and the causes of an out-of-control process, including that temperature variations greater than 0.5 degrees F or 0.3 degrees C in the developer will affect process control and image quality, and that agitation is necessary to maintain uniform solution activity by removing exhausted solution from the emulsion surface125px.com/docs/techpubs/kodak/z-133-2003_03b.pdftier 1, primary2026-09-04
  7. 07Chemicals for KODAK PROFESSIONAL Black-and-White Films, Publication No. E103CFKodak Alaris Inc., 2018§ The keeping properties and useful capacity columns for Developer D-76 at full strength and at 1:1kodakprofessional.com/sites/default/files/wysiwyg/pro/chemistry/E103CF_0.pdftier 1, primary2026-09-04
  8. 08Processing KODAK PROFESSIONAL Black-and-White Films, publication ED-BWFKodak Alaris Inc., 2023§ Starting-point development times for roll films in small tanks at 20 and 24 degrees C, and the note that development times shorter than 5 minutes may produce unsatisfactory uniformitykodakprofessional.com/sites/default/files/wysiwyg/pro/resources/edbwf_0.pdftier 1, primary2026-09-04
  9. 09HP5 Plus Technical InformationHARMAN technology Limited (ILFORD Photo), 2018§ Processing at different temperatures — the worked example that 6 minutes at 20 degrees C becomes 4.5 minutes at 23 and 9 minutes at 16ilfordphoto.com/amfile/file/download/file/1903/product/691tier 1, primary2026-09-04
  10. 10ILFORD MULTIGRADE, PQ UNIVERSAL and BROMOPHEN paper developers, technical informationHARMAN technology Limited (ILFORD Photo), 2010§ Processing paper: the statement that on a correctly exposed fibre-base print the image begins to appear after 35 seconds and that development may be extended to 6 minutes without noticeable change in contrast or fogilfordphoto.com/amfile/file/download/file/1828/product/709tier 1, primary2026-09-04
  11. 11Chemistry 2e, section 12.2: Factors Affecting Reaction RatesPaul Flowers, Klaus Theopold, Richard Langley and William R. Robinson, for OpenStax§ 12.2 Factors Affecting Reaction Rates, including the rule of thumb that reaction rates approximately double for a 10 degree C riseopenstax.org/books/chemistry-2e/pages/12-2-factors-affecting-reaction-ratestier 1, primary2026-09-04
  12. 12Chemistry 2e, section 12.5: Collision TheoryPaul Flowers, Klaus Theopold, Richard Langley and William R. Robinson, for OpenStax§ 12.5 Collision Theory: the Arrhenius equation, R = 8.314 J per mol per K, and the linear form whose slope against 1/T is minus Ea over Ropenstax.org/books/chemistry-2e/pages/12-5-collision-theorytier 1, primary2026-09-04

Formulas, hazard statements, historical dates and process descriptions on this page were checked against the sources above on the date shown. Safety data changes: obtain the current safety data sheet for the product you actually buy before you open it.