Question

According to Newtons law of cooling, the time t needed for an object at an initial temperature To to cool to a temperature T in an environment with ambient temperature T, is given by In(7,-%) In(T-Ta) where k is a constant. Assume that for a certain type of container, k = 0.025 min.. Let t be the number of minutes needed to cool the container to a temperature of 50F. Assume that To = 70.1 ± 0.2·F and Ta = 35.7 ± 0.1°F. Estimate t, and find the uncertainty in the estimate.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
According to Newton's law of cooling, the time t needed for an object at an initial...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Newton's Law of Cooling states that the rate of cooling of an object is proportional temperature difference bet...

    Newton's Law of Cooling states that the rate of cooling of an object is proportional temperature difference between the object and its surToundings. Suppose that a roast turkey is taken from an oven when its temperature has reached 160°F and is placed on a table in a room where the temperature is 60°F. If zu) is the temperature of the turkey after t minutes, then Newton's Law of Cooling implies that to the 7 du k(u-60) dt This could be...

  • Newton's law of cooling states that the rate of change in the temperature T(t) of a...

    Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is, dT K[M(t) - T(t)], where K is a constant. Let K=0.05 (min) - 1 and the temperature of the medium be constant, dt M(t) = 294 kelvins. If the body is initially at 370 kelvins, use Euler's method with h=0.1 min to approximate...

  • Assigned Media Question Help According to Newton's Law of Cooling, if a body with temperature T,...

    Assigned Media Question Help According to Newton's Law of Cooling, if a body with temperature T, is placed in surroundings with temperature To, different from that of the body will either cool or warm to temperature Tit) after t minutes, where T(t)= T, - (T. - To je A cup of coffee with temperature 120°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 80°F. Use Newton's Law of Cooling to find...

  • (30 pts) Newton's law of cooling says that the temperature of a body changes at a...

    (30 pts) Newton's law of cooling says that the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium (the ambient temperature). dT * = -k(T – Ta) where T = the temperature of the body (°C), t = time (min), k = the proportionality constant (per minute), and Ta = the ambient temperature (°C). Suppose that a cup of coffee originally has a temperature of 80 °C. Use...

  • Newton's law of cooling states that the rate of change in the temperature T(t) of a...

    Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is, * = K[M(t) - T(t)], where K is a constant. Let K = 0.05 (min) and the temperature of the medium be constant, M(t) = 295 kelvins. If the body is initially at 354 kelvins, use Euler's method with h = 0.1 min...

  • dt Newton's law of cooling states that the rate of change in the temperature (t) of...

    dt Newton's law of cooling states that the rate of change in the temperature (t) of a body is proportional to the difference between the temperature of the medium M(t) and the dT temperature of the body. That is, = K[M(1) – TCC), where is a constant. Let K = 0.03 (min) and the temperature of the medium be constant, m(t) = 295 kelvins. If the body is initially at 364 kelvins, use Euler's method with h = 0.1 min...

  • 1) DON'T FORGET TO ROUND TO THE NEAREST INTEGER. According to Newton's Law of Cooling, if...

    1) DON'T FORGET TO ROUND TO THE NEAREST INTEGER. According to Newton's Law of Cooling, if a body with temperature Ty is placed in surroundings with temperature To different from that of T1, the body will either cool or warm to temperature T after t minutes, where T(t) = To +(T1 - Tole-kt. A chilled jello salad with temperature 49°F is taken from a refrigerator and placed in a 68°F room. After 10 minutes, the temperature of the salad is...

  • 4.6.27 Previous Question Question Help Newton's Law of Cooling says that the rate at which a...

    4.6.27 Previous Question Question Help Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature (1) of the body at time in hours after being introduced into an environment having constant temperature To ist) = To Ce, where C and k are constants A cup of coffee with temperature 155°F is placed in a freezer with temperature 0°F. After...

  • Over a period of time, a hot object cools to the temperature of the surrounding air....

    Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+(To-C) e-K, where t is the time it takes for an object to cool from temperature To to temperature T, C is the surrounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 210°F and is left to cool...

  • If a cup of coffee has temperature 95°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t)...

    If a cup of coffee has temperature 95°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 25 + 70e-t/ 48 . what is the average temperature of the coffee during the first 28 minutes? average temp-C -O°C 0 If a cup of coffee has temperature 95°C in a room where the ambient air temperature is 25°C, then, according to Newton's...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT