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A bottle of milkmilk initially has a temperature of 7575degrees°F. It is left to cool in a refrigerator that...

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Question

Advance Math

A bottle of

milkmilk

initially has a temperature of

7575degrees°F.

It is left to cool in a refrigerator that has a temperatureof

4545degrees°F.

After 10 minutes the temperature of the

milkmilk

is

5757degrees°F.

a. Use​ Newton's Law of​ Cooling,

Upper T equals Upper C plus left parenthesis Upper T 0 minusUpper C right parenthesis e Superscript ktT=C+T0−Cekt​,

to find a model for the temperature of the

milkmilk​,

T​,

after t minutes.

T

​=

Upper C plus left parenthesis Upper T 0 minus Upper C rightparenthesis e Superscript ktC+T0−Cekt

T

​=

45 plus left parenthesis 30 right parenthesis e Superscriptnothing t45+(30)e t

left arrow←

Solve for k and enter the answer

​(Round to four decimal​ places.)

b. What is the temperature of the

milkmilk

after 15​ minutes?

Tequals=nothingdegrees°F

​(Type an integer. Round to nearest​ degree.)

c. When will the temperature of the

milkmilk

be

5252degrees°​F?

tequals=nothing

minutes

Answer & Explanation Solved by verified expert
3.6 Ratings (403 Votes)
Newtons law of cooling formula is expressed by Tt Ts To Ts ekt Where t time Tt temperature of the given body at time t Ts surrounding temperature To    See Answer
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