This exercise uses Newton's Law of Cooling. Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 65°F. (a) Find a function T(t) that models the temperature t hours after death. T(t) : (b) If the temperature of the body is now 72°F, how long ago was the time of death? (Round your answer to the nearest whole number.) hr Need Help? Master It Read It Watch It Talk to a Tutor

This exercise uses Newton's Law of Cooling. Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 65°F. (a) Find a function T(t) that models the temperature t hours after death. T(t) : (b) If the temperature of the body is now 72°F, how long ago was the time of death? (Round your answer to the nearest whole number.) hr Need Help? Master It Read It Watch It Talk to a Tutor

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A mass m of a metal with heat capacity CM at initial temperature T is added to the volume V of a liquid with density p and heat capacity c₁ at initial temperature T₁. What is the final temperature of the system?
The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV = 8.31T, where P is measured in kilopascals, V in liters, and T in kelvins. Use differentials to find the approximate change in the pressure if the volume increases from 10 L to 10.6 L and the temperature decreases from 335 K to 330 K. (Note whether the change is positive or negative in your answer. I Round your answer to ti decimal places.
The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas are related by the equation PV = 8.317. Find the rate at which the volume is changing when the temperature is 325 K and increasing at a rate of 0.05 K/s and the pressure is 29 and increasing at a rate of 0.07 kPa/s. Please show your answers to at least 4 decimal places. dV dt L/s
If a 3 m3 of gas initially at STP is placed under a pressure of 2 atm, the temperature of the gas rises to 22◦C. What is the volume now? Calculate to 2 decimals.
If a 2 m3 of gas initially at STP is placed under a pressure of 2 atm, the temperature of the gas rises to 63◦C. What is the volume now? Calculate to 2 decimals.