Engineering Board Exam Reviewer · Applications: Cooling, Heating, and Mixture Problems · medium
A body is found at 9:00 a.m. with a temperature of 31° C. At 11:00 a.m. it is 26° C. The room is kept at 20° C and normal body temperature is 37° C. How many hours before 9:00 a.m. did death occur?
- 2.4 h
- 2.01 h
- 1.44 h
- 0.72 h
Answer
C. 1.44 h
Solution
T-20=Aekt with t measured from 9:00. At t=0: A=11; at t=2: 6=11e2k k= 12 611 -0.3030. At death T=37: 17=11ekt t= (17/11)/k -1.44. Death occurred about 1.44 hours before 9:00 a.m.
More Applications: Cooling, Heating, and Mixture Problems questions
- A 200-L tank contains 10 kg of salt dissolved in water. Pure water enters at 5 L/min and the well-mixed solution leaves at 5 L/min. How…
- A tank holds 100 L of pure water. Brine containing 0.5 kg of salt per liter flows in at 4 L/min, and the well-mixed solution flows out at…
- A thermometer reading 10° C is brought into a room at 30° C. It reads 20° C after 3 minutes. What does it read after 6 minutes?
- Coffee at 90° C is left in a 20° C room and cools to 80° C in 2 minutes. How many minutes after it was poured will it reach 50° C?
- Newton's law of cooling states that the rate of change of an object's temperature T is proportional to the difference between T and the…
- A body at 100° C is placed in a room kept at 20° C. It cools to 60° C in 10 minutes. What is its temperature after 20 minutes?
- A body at 100°C is placed in a room held at 25°C. Using Newton's Law of Cooling dT/dt=k(T-25), if the temperature is 80°C after 10…
- For the cooling scenario above (T0=100°C, Ts=25°C, k -0.031 per min), find the temperature after 20 minutes.
- A tank initially contains 100 liters of brine with 5 kg of dissolved salt. Brine containing 0.2 kg/liter enters at 3 liters/min, and the…
- For the tank problem above (dQ/dt=0.6-0.03Q), find the steady-state (equilibrium) amount of salt as t ∞.
All Applications: Cooling, Heating, and Mixture Problems questions