Comparing Cooling Rates of Solid and Hollow Spheres

In summary, the two spheres, one solid and one hollow, will initially cool at the same rate since they both emit the same power. However, the hollow sphere has a smaller heat capacity and will eventually cool faster.
  • #1
vkash
318
1
There are two sphere of same radius but one is solid and other is hollow. Both are heated to same temperature(greater than room temperature). which will cool at faster rate?

I think both the spheres will cool at same rate since hollow sphere can't loose it's heat inside it (because internal temperature is also same as that of sphere) so both the spheres have same sink so they should cool at same rate.
however after little time their rate should vary because hollow sphere may have lesser energy..
IS my explanation correct?
 
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  • #2


You are right: at the same temperature both emits the same power. But the hollow one has smaller heat capacity, so - emitting the same power it cools faster.
 
  • #3


xts said:
You are right: at the same temperature both emits the same power. But the hollow one has smaller heat capacity, so - emitting the same power it cools faster.

OK!
thanks for confirming...
 

1. What is the purpose of comparing cooling rates of solid and hollow spheres?

The purpose of this experiment is to understand how the shape and composition of objects can affect their cooling rates. By comparing the cooling rates of solid and hollow spheres, we can gain insights into the thermodynamics of different materials and their ability to dissipate heat.

2. How do you measure the cooling rate of a sphere?

The cooling rate is measured by recording the temperature of the sphere at regular intervals after it has been heated to a specific temperature. The temperature data is then plotted on a graph and the cooling rate can be determined by calculating the slope of the curve.

3. What factors can affect the cooling rate of a sphere?

The cooling rate of a sphere can be affected by various factors such as the material and composition of the sphere, its size and surface area, the starting temperature, and the surrounding environment (e.g. air temperature and humidity).

4. Why is it important to compare the cooling rates of solid and hollow spheres?

By comparing the cooling rates of solid and hollow spheres, we can gain a better understanding of the heat transfer properties of different materials. This information can be useful in various fields, such as engineering, materials science, and thermodynamics.

5. What are some potential applications of this experiment?

This experiment can have practical applications in industries such as manufacturing, where understanding the cooling rates of different materials is crucial for designing and producing efficient and effective products. It can also help in the development of new materials with improved thermal properties.

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