A roast turkey is taken from an oven when its temperature has reached 180 degrees Fahrenheit and...

Question:

A roast turkey is taken from an oven when its temperature has reached 180 degrees Fahrenheit and is placed on a table in a room where the temperature is 75 degrees Fahrenheit. If the temperature of the turkey is 145 degrees Fahrenheit after half an hour, what is its temperature after 45 minutes?

When will the turkey have cooled to 105 degrees Fahrenheit?

Newton's Law of Cooling

Sir Isaac Newton gave us important tools, for example his laws of motion but this man has other law, which is useful to study the cooling process.

The equation of the cooling process is given by: {eq}T(t)=T_{o}+(T_{1}-T_{o})e^{kt} {/eq}. To apply this equation we need to have basic math knowledges for example how to use logarithms.

Answer and Explanation:

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Data:

{eq}T_{o}=75\:^{\circ}F \\ T_{1}=180\:^{\circ}F {/eq}


Newton's Law of Cooling: {eq}T(t)=T_{o}+(T_{1}-T_{o})e^{kt} {/eq}

Substituting the...

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