SOLUTION: equation T(t)= Te+(T0-Te) e^-kt T(t) is the temperature of the object at the time t Te is the constant temperature of the environment T0 is the initial temperature of the

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Question 1111612: equation T(t)= Te+(T0-Te) e^-kt
T(t) is the temperature of the object at the time t
Te is the constant temperature of the environment
T0 is the initial temperature of the object and k is a constant that depends on the material properties of the object
Problem:
You are part of a special CSI taskforce team investigating a murder. You are called to the scene of a crime where a dead body has just been found. You arrive the scene at 10:25 am and begin your investigation. immediately, the temperature of the body is taken and is found to be 80 degrees Fahrenheit. You check the programmable thermostat and find that the room has been kept at a constant 68 degrees Fahrenheit for the past 3 days. Also, google the constant k and you found the k=0.1336 for humans. The next day, the Police captain ask your team " what time did our victim die?" assuming that the victims body temperatures was normal 98.6 degrees Fahrenheit prior to death, what is your answer to this question? show work your Newtons law of cooling and explaining your reasoning.
I plugged them in put didn't get a time in got like 354.52
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You have to solve the equation for and then subtract that amount of time from 10:25 AM. The thing that makes your problem unsolvable as stated is that you did not specify any units for the constant . However, presuming that degrees per hour, proceed as follows:



Substitute given data



Which simplifies to



Take the natural log of both sides





Your calculator should then give you a number of hours to subtract from 10:25 AM presuming my assumption regarding the units on the constant was correct.

John

My calculator said it, I believe it, that settles it