Burning Calories by radiation (Stefan-Boltzman law)

In summary, the problem involves calculating how long it will take for an ice cream cone with 290 Calories to radiate away its energy, given the temperature of the skin and air, emissivity of the body, and surface area of the skin. To solve this, Stefan's law can be used to find the power in watts, and then the Stefan-Boltzman law can be used to convert this to the time in hours. The missing information can be found through the given equations.
  • #1
fordy314
6
0

Homework Statement


An ice cream cone has 290 Calories. Assuming the temperature of your skin is 32.7 C and the temperature of the air is 19.9 C, how long (hours) will it take to radiate away the energy of the ice cream cone. The emissivity of the average body is 0.915 and the average surface area of your skin is 1.25 m2.


Homework Equations


Stefan's law to get Watts
P=(J/Δt)
Q=mCΔT


The Attempt at a Solution


I'm all set with just plugging in the numbers into Stefan's Law to get watts, I'm having trouble trying to figure out how to get from watts to time though. All I can think of is

P=(J/Δt)=(Q/Δt) and Q=mCΔT, but I don't have enough information to solve for Q. Any help on this?

Thanks.
 
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  • #2
You need Stefan-Boltzman law.
What you wrote is just the definition of power (P=Energy/time) and not Stefan's law.
 

1. How does radiation help in burning calories?

Radiation, specifically through the application of the Stefan-Boltzmann law, can aid in burning calories by increasing the body's metabolic rate. When the body is exposed to radiation, its temperature increases, which in turn increases the rate at which the body burns calories to maintain that temperature.

2. Is it safe to use radiation for burning calories?

While radiation has been proven to increase the body's metabolic rate, it is important to note that it can also have harmful effects on the body if not used properly. It is important to consult with a trained professional and follow safety guidelines when using radiation for calorie burning purposes.

3. Can anyone use radiation for burning calories?

No, not everyone can safely use radiation for burning calories. It is not recommended for pregnant women, children, and individuals with certain health conditions. It is important to consult with a doctor before using radiation for calorie burning purposes.

4. How long should one be exposed to radiation for calorie burning?

The length of time one should be exposed to radiation for calorie burning purposes varies depending on factors such as age, weight, and overall health. It is important to consult with a trained professional who can determine the appropriate duration based on individual factors.

5. Are there any potential side effects of using radiation to burn calories?

Yes, there can be potential side effects of using radiation for calorie burning, such as skin irritation or burns if not used properly. It is important to follow safety guidelines and consult with a doctor if any adverse effects are experienced.

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