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# Mathematical relation between the temperature for thermocoup

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The curve on the attached document shows the response of a bare thermocouple which has been subjected to a step change in temperature from 50 degrees celcius to 10 degrees celcius. Assuming that the bare thermocouple behaves as a single transfer lag system, determine the mathematical relationship between the temperature (T) and time (t). [ie determine the equation relating T to t].

https://brainmass.com/physics/temperature/538700

#### Solution Preview

If we observe the graph carefully, we find that it's exponentially decaying. Starting from T = 50 at t = 0, it asymptotically decays to T= 10 ...

#### Solution Summary

Based on given plot between temperature and time of a thermocouple, the solution estimates mathematical relationship.

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