Cooling curves

As an introduction to an exponential system, the cooling curve laboratory consistently delivers. Simple but effective. And the mathematics makes sense: the decay is asymptomatic to room temperature. 

The use of open top containers introduces convective loss which apparently alters a pure exponential decay, but the uncertainties inherent in reading the school thermometers exceed the convective errors.


Left board with a predicted mathematical model.



Right board with the equation. The equation was not revealed until after the cooling curve was generated in the 8:00 section, but then the equation was left on the board after the 8:00 section. 


A question arose on Friday as to how many mathematical models are there. The answer depends on how one counts models. There is an infinite series of polynomials of degree n. Broader families can be discerned.

Some of the broader families can be seen above, noting that the square root relationship is really just a fractional polynomial.

LizzyAnn and Lanve. All groups were working with 100 ml beakers, eight of these were located and deployed. 

The 8:00 started at 8:50 AM on the cooling curve. Finolla and Tommy


Finolla takes data solo.

Leann and Bennie working together to gather data.

Yonard and Austin


Tayshaun and Vandasia watch the clock in anticipation of the next reading.


Meramy, Brithney, Ariana 

Brithney, Ariana


Lashanna and Meramy



Valencia wound up working solo in the 11:00 section

Pamella and Kaylani

Kyle and KC

Kealoha and Jay-brion






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