Summation Problems: Solve Delta ti * T(Delta ti) for Age in Days

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SUMMARY

The discussion revolves around solving the equation involving Delta ti and T(Delta ti) to determine age in days based on temperature. Users provided a specific example using T(Delta ti) at 27°C and Delta ti as 10 days, resulting in an approximate age of 13.8 days. The initial confusion stemmed from results yielding values below 1, which were deemed nonsensical in the context of age calculation. The equation's application and interpretation were clarified through practical examples.

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Hello,

Some of you may know this equation and I need help solving it.
Delta ti is the time in days at a certain temperature (0 - 80).
T(Delta ti) is the temperature during Delta ti.

The answer is supposed to be an age in days but my tries have given me answers that are below 1, which doesn't make any sense. Can someone please try to open this up for me?
 

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Cer said:
Hello,

Some of you may know this equation and I need help solving it.
Delta ti is the time in days at a certain temperature (0 - 80).
T(Delta ti) is the temperature during Delta ti.

The answer is supposed to be an age in days but my tries have given me answers that are below 1, which doesn't make any sense. Can someone please try to open this up for me?

Hi Cer! Welcome to MHB! :)

Mmm... let's try $T(\Delta t_i)=27^\circ \text C$ with $\Delta t_i=10 \text{ days}$.

Then we get:
$$e^{-(4000/300-13.65)} \cdot \Delta t_i= e^{0.32} \cdot 10 \approx 13.8 \text{ days}$$

What is the problem? :confused:
 

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