Question

A dead body was found within a closed room of a house where the temperature was a constant 22 degrees celsius . At the time of discovered the core temperature of the body was determined to be 28 degrees celsius . 1 hour later a second measurements show that the core temperature of the body was 26 degrees celsius . Assume that a time of that correspond to t = 0 and that the core temperature at the time was 37 degrees celsius . Determine how many hours elapsed before the body was found

WebAssign + → XCIO JA Submit Answer 4. (-/1 Points] DETAILS ZILLDIFFEQMODAP11 M 3.1.019. ASK YOUR TEACHER PRACTICE ANOTHER A dead body was found within a closed room of a house where the temperature was a constant 22° C. At the time of discovery the core temperature of the body was determined to be 28° C. One hour later a second measurement showed that the core temperature of the body was 26° C. Assume that the time of death corresponds to t=0 and that the core temperature at that time was 37° C. Determine how many hours elapsed before the body was found. (Hint: Let ti > o denote the time that the body was discovered.) (Round your answer to one decimal place.) hr eBook

Answer 1

Let Tch be the temperature of body cit time t. any By Newtons Lw f Cwling 11 (T-Ts) where Is is the temperature of surrounding k (T-22) kt to CATA - fotk » la CT-22) dT dt (T-22g- ekte & T = 22 + ekte at to; T = 378 > é = 37-22 ec=15c > Te 22 tike At required time t=d, T = 280 t=a+2, T- 26 ak 28 = 22 + 15e 26 = 22 + 15 ekk 6 28-22 = 15 platok 26-22 16 4 'S is

6 ekk 1 6 dink ام et ak 6 Cene & 6 - bu (65) - in (4/6) 40) 113 2-3 hr clapsed before the body Sound - > 09