The late Mac the Knife is found at midnight with a body temperature of 90 degrees F, in a room where the temperature is 70.

At 1 a.m. he has cooled to 80 degrees.

When was he killed? Why?

Can this equation get me to the answer?

Printable View

- May 2nd 2009, 06:25 PMcammywhiteTemperature
The late Mac the Knife is found at midnight with a body temperature of 90 degrees F, in a room where the temperature is 70.

At 1 a.m. he has cooled to 80 degrees.

When was he killed? Why?

Can this equation get me to the answer?

- May 2nd 2009, 09:24 PMwarmonk102
Is that all that was given to you? The question seems to be very confusing. Your equation is right but -.01 shouldn't be there btw, you need to use Newton's law of cooling which states that if u is the object then the rate at which it cools is

du/dt = -k(u - T)

-k = constant

T = ambient temperature - May 3rd 2009, 03:11 AMmr fantastic
You need to solve the differential equation (Newton's law of Cooling) given in post #2. Let t = 0 correspond to midnight. Then the boundary conditions for this differential equation are T = 90 degrees F at t = 0 and T = 80 degrees F at t = 1.

You need to find the value of t (it will be negative) when T = 98.9 degrees F (normal temperature of living person).