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 2020-12-16 Answered
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?
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Expert Answer

dessinemoie
Answered 2020-12-17 Author has 90 answers
Data analysis
Given,
Initial temperature of soup, T0=100C
Surrounding temperature, Ts=10C
Final temperature, Tf=80C
Time taken, t=30 min
To find the time taken to reach to 30C with the same conditions.
Solution
The Newtons
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