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I have a silver plated copper heat exchanger (with an internal embedded circuit where liquid nitrogen flows) attached to a bigger aluminium block in order to cool it down.

First, I want to estimate it's instantaneous cooling power during cool-down to a stable temperature. I have the mass of the Aluminium block, ##m##, and I'm measuring its' temperature evolution with time, ##dT/dt##. I assumed that the instantaneous cooling power of this heat exchanger, ##dP##, can be given by:

[tex] dP = m\, c_p(T)\, \frac{dT}{dt} \mbox{ [Watt]}[/tex]

Where ##c_p(T)## is a polynomial function of ##T##, so a non-linear behavior was introduced.

**Question 1:**Is this a valid assumption for the instantaneous cooling power?

**How could I estimate it's cooling power at a given temperature with this data? I don't have a measure of the flow of the liquid nitrogen...**

Question 2:

Question 2:

Thanks in advance!

Ciao!