Cold chain · Free calculator

Mean kinetic temperature (MKT) calculator for temperature probe readings

Paste your temperature readings, or list the hours spent at each temperature. Get the mean kinetic temperature, the time outside your range and a chart, with an editable ΔH/R.

K

The activation-energy constant, in kelvin. 10,000 K is a typical value (ΔH = 83.144 kJ/mol). Change it only if your product data or quality system gives another value.

°C

From the product label or your own specification. 2 is an example for chilled products.

°C

Leave both limits empty to skip the range checks. 8 is an example.

Typical values for ΔH/R, the range and the example readings. Replace them with your own product data.

One reading per line, with or without a date and time first. Example data: 48 readings, one every 30 minutes. Replace it with your own log.

The file is read in your browser and is not uploaded.

min

Used for the time outside the range when your lines have no timestamps. 30 is an example.

How each line is read
How this is calculated
MKT = (ΔH/R) ÷ ( −ln [ (Σ e^(−ΔH/(R·Tᵢ))) ÷ n ] ) Tᵢ = reading in °C + 273.15 (kelvin) ΔH/R = 10,000 K by default

Full method is below.

MKT of the readingsBased on values entered

Keep the result with the temperature log

Report with the statistics, the periods outside the range, the ΔH/R used and the method.

MKT report

Get the full report for your quality team

  • MKT with the lowest, highest and mean temperature
  • Time outside your range and each period outside it
  • MKT at other values of ΔH/R
  • The ΔH/R and the formula used
  • Method and next steps

What is mean kinetic temperature?

Mean kinetic temperature (MKT) is a single temperature that has the same effect on a product as the whole series of temperatures it actually met. Heat speeds up chemical change faster than cold slows it, so a warm hour counts for more than a cold hour. That is why MKT sits above the plain average whenever the temperature varies.

Paste a log of readings, or list the hours spent at each temperature. The calculator gives the MKT, the lowest, highest and mean temperature, the time outside your range, each period outside it, and a chart.

The formula is the one Haynes published in 1971 and pharmacopoeial storage guidance describes, for example USP general chapter <1079.2>. Check the current edition of the chapter that applies to your product.

Four readings with the same mean of 5.0 °C
SeriesReadings (°C)MeanMKT
Steady5 / 5 / 5 / 55.0 °C5.00 °C
Half cold, half warm1 / 1 / 9 / 95.0 °C5.94 °C
One warm spike3 / 3 / 3 / 115.0 °C5.83 °C

All three series have a mean of 5.0 °C. Only the steady one has an MKT of 5.0 °C. The others rise because the warm readings count more. ΔH/R is 10,000 K.

What inputs do you need?

What the calculator needs
InputWhere to find itTip
ReadingsThe temperature log from a logger or from a tracker with a temperature probeIn °C, at a fixed interval, complete from loading to delivery.
Timestamps (optional)The date and time column in the exported log, as YYYY-MM-DD HH:MMThey let the tool find gaps and measure the real spacing.
ΔH/RYour quality system or the product data. The default is 10,000 KA typical value. Write down the one you used.
Allowed rangeThe product label or your own specificationLeave it empty to skip the range checks.
Hours at each temperatureThe trip schedule or the storage stagesFor the second tab, when you have no complete log.

ΔH/R = 10,000 K (typical), the range 2 to 8 °C (example) and the 30-minute interval (example) are placeholders. Use your own product data. Readings must be in °C.

How is MKT calculated?

The formula

MKT = (ΔH/R) ÷ ( −ln [ (Σ e^(−ΔH/(R·Tᵢ))) ÷ n ] ) Tᵢ = reading in °C + 273.15 (kelvin) ΔH/R = 10,000 K by default (ΔH = 83.144 kJ/mol, R = 8.3144 J/(mol·K)) n = number of readings

The result is converted back to °C. With a steady temperature, MKT equals that temperature. With hours at each temperature, each term is multiplied by its hours and divided by the total hours.

Time outside the range

Time outside = readings outside the range × spacing between readings Spacing = median gap between timestamps, or your interval if there are none Gap = a spacing more than 1.5 times the median spacing

Source for the formula: Haynes JD. Worldwide virtual temperatures for product stability testing. J Pharm Sci 1971;60(6):927-929. Source for the pharmacopoeial guidance: the current edition of USP <1079.2>. The citation was checked on PubMed (PMID 5128949) and the chapter title on doi.usp.org on 3 Nov 2026. The chapter text is sold by subscription, so check the ΔH/R value in the edition you use.

Worked example: a 24-hour chilled route

The default readings are 48 example values, one every 30 minutes from 06:00, with a door-open spike of two hours around 21:00. The range is 2 to 8 °C and ΔH/R is 10,000 K.

  • Lowest 3.5 °C, highest 10.4 °C, arithmetic mean 4.85 °C.
  • MKT is 5.03 °C, 0.18 °C above the mean, and inside the 2 to 8 °C range.
  • 4 readings are outside the range, a single period of 2 hours. The verdict is therefore "MKT in range, readings outside".
  • Second tab: 18 hours in four stages. The cold store (4 °C, 10 h) and the cooled transport (5.5 °C, 6 h) are in range. The dock (14 °C, 0.5 h) and the wait at delivery (22 °C, 1.5 h) are not.
  • The weighted mean is 6.28 °C, but the MKT is 8.64 °C, outside the range, because the 1.5 hours at 22 °C count heavily. 2 hours are outside the range.

How do you read the results?

  • MKT against the mean: the gap shows how much the warm readings matter. A large gap means the series swings, even if the mean looks fine.
  • MKT against your range: the first check. Outside the range is a stop for review. Inside the range does not mean every reading was fine.
  • Readings and time outside the range: the second check. A short spike and a long drift can give the same MKT and need different follow-up.
  • Periods outside the range: start with the longest and the highest. Look at what the vehicle was doing at that time.
  • MKT at other ΔH/R: a quick view of how much the constant matters for your series.

Assumptions and limits

MKT assumes readings at equal spacing, so gaps and uneven logging change the answer. It works in °C only: convert °F with (°F − 32) × 5 ÷ 9 first. A single MKT figure hides a spike, so always read the highest reading and the time outside the range too. ΔH/R is a typical default, not a value for your product, and the range is your own input. MKT is a screening figure for review: it does not say whether a product can be used, and it is not an approval or a compliance result. Nothing you enter leaves your browser until you ask for the report.

Related Tracom solution

Log the temperature with its time and place

A Tracom tracker can read a temperature probe fitted to the vehicle. Each reading then carries a time and a position, so the series you paste here has no holes.

  • Temperature with time and position at each reading, when a temperature probe is connected to the tracker.
  • A continuous series from loading to delivery, so there are no gaps for the calculator to flag.
  • Configured through the SCMS portal, with updates over the air.
Questions

MKT questions, answered

Need help with your own readings? Contact Tracom.

What is mean kinetic temperature?

It is the single temperature that would have the same effect on a product as the real, varying temperatures it met. Warm readings count more than cold ones, so MKT is above the plain average when the temperature varies.

Why is MKT higher than the average?

The formula uses an exponential, so a warm reading adds more than a cold reading removes. A series that swings has a higher MKT than a steady series with the same average.

Which ΔH/R should I use?

The default is 10,000 K, which is ΔH = 83.144 kJ/mol. It is a typical value. Use the figure your quality system or the product data gives, and write it next to the result. The tool shows the MKT at 75% and 125% of your value so you can see how much it matters.

How many readings do I need?

At least two, but a useful log covers the whole journey at a fixed interval, from loading to delivery. Gaps change the answer, and the tool flags them when your lines have timestamps.

Does an MKT inside my range mean the load is fine?

No. MKT is a screening figure. A single spike can sit inside a good MKT, so check the highest reading and the time outside the range too. Whether a product can be used follows the product label, your quality system and the manufacturer.

Can I use readings in °F?

Not directly. Convert them to °C first with (°F − 32) × 5 ÷ 9.

What does Tracom do with the figures I enter?

Nothing leaves your browser while you use the tool. If you ask for the report, we send it to your email. Tracom makes trackers and sensors. We do not judge whether a load is acceptable. Your quality team makes that decision.

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