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Problem

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3 Nov 2021

Given information

Given that the initial temperature of the cold drink  when taken out of the refrigerator and the final temperature of the cold drink after minutes becames in a  room.

Need to calculate the temperature of the drink after  minutes.

 

Step-by-step explanation

Step 1.

Given the initial temperature of the cold drink

Final temperature became    

Room temperature is

Examine Newton's law of Cooling 

Separate  the variables and integrate   

Let  be a variable  

Therefore,

Put  in Newton's law of cooling, then the equation of cooling becomes 

 

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