Jump to content


  • entries
  • comments
  • views

Blogmas Day 7



For the 7th day of Blogmas, I will discuss how long it will take Christmas cookies to cool to 75° F once they are taken out of the oven. For this calculation I will use Newton's Law of Cooling. This law states that the rate of cooling is proportional to the temperature difference between the object and its surroundings; therefore, dT/dt = k(T-TC) with Tthe constant temperature. To find this calculation, I first found Tc to be 70° F because my house temperature is kept at this constant. Next, I used the separation of differentiable equations method to integrate the Newton's Law of Cooling Equation. As a result, I found the equation to be T(t)= Ce^(kt) + 70. To find the value of C,I set Ce^(kt)  equal to 350° F( the temperature of the cookies immediately after they were taken out of the oven) and set t=0. With this information, I found C to be 280. I measured the temperature of the cookies to be 300° F after 5 minutes. Using this information, k was  measured to be -.0393. After finding all the unknowns, I finally found the time it takes to cool to 75° F to be 102 minutes.

Image result for christmas cookies'

1 Comment

Recommended Comments

Add a comment...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

  • Create New...