Thermal equilibrium + heavier mass

In summary, the object with the heavier mass has a greater influence on the final temperature in a system that has reached thermal equilibrium. This can be seen in the example of a 4kg copper block at 0 degrees and a 1kg aluminum block at 100 degrees, where the final temperature ends up lower (around 36 degrees) due to the colder copper block's influence. The reason for this is the heat capacity, which is an extensive property, and in this case, the copper block has a lower total heat capacity despite having a lower specific heat capacity (J/kg/K) compared to aluminum. This is because specific heat is an intensive property, while heat capacity is extensive.
  • #1
ariana0923
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Why is it that the object with the heavier mass influences the final temperature (once the two objects in contact have achieved thermal equilibrium)?

For ex. a copper block (4 kg) at 0 degrees and an aluminum block (1 kg) at 100 degrees...in this case, the final temp ends up lower (36 ish degrees), I'm guessing because the copper (heavier block) was colder, so it influenced the final temp. But is there a deeper reason besides the fact that its heavier? (In this case, you can't say specific heat capacity right? since Al has the higher capacity)
 
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  • #2
It is precisely because of heat capacity. Which specific is J/kg/K and heat capacity is J/K

So although Al has the specific capicity, the object has a lower total heat capacity (not sure on the nomenclature here) becuase there is less of it.

If there were only 2kg of copper the Al block would have a higher total heat capacity.

The difference is becuase becase specific heat is an intensive property and heat capacity is extensive.
 
  • #3


The reason for the heavier mass influencing the final temperature in this scenario is due to the concept of thermal conductivity. Thermal conductivity is the ability of a material to transfer heat, and in this case, the copper block has a higher thermal conductivity than the aluminum block. This means that when the two objects are in contact and reach thermal equilibrium, the copper block will absorb more heat from the aluminum block and thus lower the overall temperature.

Additionally, the specific heat capacity of a material does play a role in determining the final temperature, but it is not the only factor. The specific heat capacity of aluminum may be higher, but the thermal conductivity of copper allows it to absorb and transfer more heat, leading to a lower final temperature.

In summary, the heavier mass may influence the final temperature due to its higher thermal conductivity, allowing it to absorb and transfer more heat from the lighter object. However, the specific heat capacity of the materials involved also plays a role in determining the final temperature.
 

What is thermal equilibrium?

Thermal equilibrium is a state in which two or more objects or substances are at the same temperature and there is no net flow of heat between them.

How does thermal equilibrium occur?

Thermal equilibrium occurs when the rate of heat transfer between two objects is equal and there is no temperature gradient between them.

What happens when two objects of different masses reach thermal equilibrium?

When two objects of different masses reach thermal equilibrium, the object with the greater mass will have a lower temperature and the object with the smaller mass will have a higher temperature.

How does the mass of an object affect thermal equilibrium?

The mass of an object affects thermal equilibrium as a larger mass has a greater capacity to store heat and will therefore take longer to reach thermal equilibrium compared to a smaller mass.

What is the relationship between thermal equilibrium and heavier mass?

The relationship between thermal equilibrium and heavier mass is that in order for two objects of different masses to reach thermal equilibrium, the object with the heavier mass will have a lower temperature and the object with the lighter mass will have a higher temperature.

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