# Mathematical relation between the temperature for thermocoup

Not what you're looking for? Search our solutions OR ask your own Custom question.

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].

Â© BrainMass Inc. brainmass.com March 5, 2021, 12:49 am ad1c9bdddfhttps://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.

$2.49