Solve the differential equation for Newton’s Law of Cooling to find the temperature function in the following case. A pot of boiling soup (100^{circ}C

defazajx

defazajx

Answered question

2020-12-16

Solve the differential equation for Newton’s Law of Cooling to find the temperature function in the following case.
A pot of boiling soup (100C) is put in a cellar with a temperature of
10C.
After 30 minutes, the soup has cooled to 80C.
When willthe temperature of the soup reach 30C?

Answer & Explanation

dessinemoie

dessinemoie

Skilled2020-12-17Added 90 answers

Data analysis 
We have, 
Initial temperature of soup, T0=100C 
Surrounding temperature, Ts=10C 
Final temperature, Tf=80C 
Time taken, t=30 min 
to determine the time needed to reach 30C under the same circumstances. 
Solution 
The Newtons

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