Find the rate at which its temperature changes

In summary, one person has been working on a problem and has a solution, but it does not work. The reason for this is because their answer needs to be submitted to a computer system for verification. They are seeking help.
  • #1
jbot2222
14
0
ive been working on this problem and i have a solution too, but it doenst work. the reason i know that it doesn't work is because we have to submit our answers to a computer system that tells us if our answer is right or wrong. please help?

A blackened, solid copper sphere of radius 5.70 cm hangs in a vacuum in an enclosure whose walls have a temperature of 21.0°C. If the sphere is initially at 0.0°C, find the rate at which its temperature changes, assuming that heat is transferred by radiation only. Also assume that the sphere has an emissivity of 1.

here is what i did:

Pnet = dQ/dt = mc dT/dt

one two skip a few and...

dT/dt = [3eσ(T^4 – T0^4)]/rρc

its right...but it doenst work!

please help?
 
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  • #2
never mind...i got it...
 
  • #3


It seems like you have the right equation and approach to solving this problem. However, since you are having trouble with the answer not being accepted by the computer system, there may be a small error in your calculations or units. I would suggest double checking your work and making sure all units are consistent.

Additionally, if you are still having trouble, you can try reaching out to your instructor or classmates for help. Sometimes, having a fresh set of eyes can help identify any mistakes or misunderstandings. Good luck!
 

1. What is the definition of rate of temperature change?

The rate of temperature change is the speed at which the temperature of a substance or object changes over time. It is typically measured in degrees Celsius or Fahrenheit per unit of time, such as degrees per second or degrees per hour.

2. How is the rate of temperature change calculated?

The rate of temperature change is calculated by dividing the change in temperature by the change in time. This can be represented by the formula: rate of temperature change = (final temperature - initial temperature) / time interval.

3. What factors can affect the rate of temperature change?

The rate of temperature change can be affected by a variety of factors, including the type of material or substance, the amount of heat being applied or removed, and the presence of external factors such as wind or humidity. The rate of temperature change may also vary depending on the temperature scale being used (e.g. Celsius or Fahrenheit).

4. How can the rate of temperature change be measured or observed?

The rate of temperature change can be measured or observed using various tools and techniques, such as thermometers, temperature sensors, or thermal imaging cameras. These devices can provide real-time data on the temperature changes and allow for accurate measurements to be taken.

5. Why is it important to determine the rate of temperature change?

Determining the rate of temperature change can provide valuable information for understanding various processes and phenomena, such as the cooling or heating of a substance, the effects of climate change, or the efficiency of heating or cooling systems. It can also help in making informed decisions and taking necessary actions to maintain a desired temperature or prevent potential damage caused by extreme temperature changes.

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