Mathematical relation between the temperature for thermocoup

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].

Application of Mathematical Induction
Application of Mathematical Induction
Fibonacci Numbers :- The Fibonacci numbers are numbers that has the following properties.
If Fn represents the nth Fibonacci number,
F1 = 1, F2 =1, F3 =2, F4=3, F5 = 5 etc.
We can find the Fibonacci number

1. A heated object is allowed to cool in a room temperature which has a constant temperature of To.
a. Analyse the cooling process.
b. Formulate mathematical model forthe cooling process.
2. At time t= 0 water begins to leak from a tank of constant cross-sectional area A. The rate of outflow is proportional to h, the d

I have a question about relations for a process even though I am unsure about the scope of this. Still I wonder about a mathematicalrelationforthe following:
I wonder about how one defines mathematically that a process is reversible for a process that has both pressure and temperature differences from definition of total e

In an experiment, a certain amount of steam was allowed to mix with a known mass of cold water whose temperature is known. The change in temperature was noted. From the data obtained, calculate the heat of vaporization of water.
Weight of calorimeter = 100.0g
Specific heat of calorimeter = 0.1cal/g°C
Mass of water =

Write a temperature conversion program in Java that converts from Fahrenheit to Celsius. The Fahrenheit temperature should be entered from the keyboard (via a JTextField). A JLabel should be used to display the converted temperature. Use the following formula forthe conversion: Celsius = 5/9 x ( Fahrenheit -32)
Input of l

Certain crystals fluoresce when exposed to a short burst of ultraviolet light. The amount of light emitted by the crystals is both time and temperature dependent. The emitted light is maximum at the time of excitation, the output then decaying with time. Such materials can be used to measure temperature. Given are some relative

This page shows efficiency of a carnot engine.
http://www.oberlin.edu/physics/dstyer/P111/Carnot.pdf
The refrigerator uses the same process only it run backwards. By using the same recipe as in the link above I want a mathematical derivation of the coefficient of performance of a refrigerator. A little additional informati