A pot of boiling soup

After 30 minutes, the soup has cooled to

When willthe temperature of the soup reach

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$({100}^{\circ}C)$ 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

You can still ask an expert for help

dessinemoie

Answered 2020-12-17
Author has **90** answers

Data analysis

Given,

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 find the time taken to reach to${30}^{\circ}C$ with the same conditions.

Solution

The Newtons

Given,

Initial temperature of soup,

Surrounding temperature,

Final temperature,

Time taken,

To find the time taken to reach to

Solution

The Newtons

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Is the solution ok ? How can I justify better that $B(x,\epsilon )\in E$?

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