defazajx

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$({100}^{\circ}C)$ is put in a cellar with a temperature of

${10}^{\circ}C.$

After 30 minutes, the soup has cooled to${80}^{\circ}C$ .

When willthe temperature of the soup reach${30}^{\circ}C?$

A pot of boiling soup

After 30 minutes, the soup has cooled to

When willthe temperature of the soup reach

dessinemoie

Skilled2020-12-17Added 90 answers

Data analysis

We have,

Initial temperature of soup, ${T}_{0}={100}^{\circ}C$

Surrounding temperature, ${T}_{s}={10}^{\circ}C$

Final temperature, ${T}_{f}={80}^{\circ}C$

Time taken, $t=30\text{}min$

to determine the time needed to reach ${30}^{\circ}C$ under the same circumstances.

Solution

The Newtons

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