Heat added to system increases mass

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The discussion centers on the relationship between heat added to a system and mass, specifically addressing the statement that heat is proportional to mass. It clarifies that the change in temperature is proportional to mass, not that mass itself increases with heat. The equation Q = mCpΔT is highlighted, indicating that more heat is required to raise the temperature of larger masses. Participants emphasize that the effects of E=mc² are negligible in typical heat transfer scenarios. Overall, the conversation aims to clarify misconceptions about mass and energy in the context of thermodynamics.
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Homework Statement
Please see below
Relevant Equations
Please see below
According to this,
1683249472906.png

The heat added to the system is proportional to the mass. Does someone please know how that highlighted statement is so? I think it is because the heat increases the internal energy of a system and internal energy is the sum of the translational, rotational, and vibrational kinetic energies and also potential energy (I'm not sure what types thought). Therefore, the mass of the system should increase since the particles will have more mechanical energy.
1683249891836.png


Many thanks!
 
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It is a courtesy to reference the source of the quote. Please do so. "This" is not a reference
 
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Your highlighted sentence is just poorly worded, leading to your confusion. It is saying that the change in temperature is proportional to the mass, not that the mass changes.

The effect of E=mc^2 is entirely negligible in these heat transfer calculations.
 
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gmax137 said:
Your highlighted sentence is just poorly worded, leading to your confusion. It is saying that the change in temperature is proportional to the mass, not that the mass changes.

The effect of E=mc^2 is entirely negligible in these heat transfer calculations.
Thank you for your reply @gmax137!

However, how is the change in temperature proportional to the mass?

Many thanks!
 
ChiralSuperfields said:
Homework Statement: Please see below
Relevant Equations: Please see below

According to this,
View attachment 325969
The heat added to the system is proportional to the mass. Does someone please know how that highlighted statement is so? I think it is because the heat increases the internal energy of a system and internal energy is the sum of the translational, rotational, and vibrational kinetic energies and also potential energy (I'm not sure what types thought). Therefore, the mass of the system should increase since the particles will have more mechanical energy.
View attachment 325970

Many thanks!
Material matters as well as atmosphere. Some materials will begin oxidizing or dissolving.
 
ChiralSuperfields said:
Homework Statement: Please see below
Relevant Equations: Please see below

According to this,
View attachment 325969
The heat added to the system is proportional to the mass. Does someone please know how that highlighted statement is so? I think it is because the heat increases the internal energy of a system and internal energy is the sum of the translational, rotational, and vibrational kinetic energies and also potential energy (I'm not sure what types thought). Therefore, the mass of the system should increase since the particles will have more mechanical energy.
View attachment 325970

Many thanks!
I think you got off track there.
Q = mCpΔT -->> Equation 1.5 in the book
is the formula that is being discussed

The equation says that the heat added is proportional to the mass and to the change in temperature, with a conversion facture denoted by Cp
 
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gmax137 said:
the change in temperature is proportional to the mass
I don’t think you meant that.

@ChiralSuperfields, It says that the heat injected is proportional to the mass (all else being constant, including the temperature rise) and the heat injected is proportional to the temperature rise (all else being constant, including the mass).
Combining the two, the heat injected is proportional to the product of the temperature rise and the mass.
 
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If you want to warm two bricks, it takes twice as much heat as to warm only one.
 
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haruspex said:
I don’t think you meant that.
You're right, it was late here when I wrote that.
256bits said:
Q = mCpΔT -->> Equation 1.5 in the book
This ^^
Or, in words:
jbriggs444 said:
If you want to warm two bricks, it takes twice as much heat as to warm only one.
 
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  • #12
ChiralSuperfields said:
Therefore, the mass of the system should increase

Keep in mind, that the text you quoted also wrote "to a good approximation".

For instance, lets take 1 kilogram of water. Raising its temperature by 1 K requires energy 4182 J.
This is equivalent to, according to ##E=mc^2## the mass ##4.6\cdot 10^{-14}## kg.
 
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  • #13
malawi_glenn said:
Keep in mind, that the text you quoted also wrote "to a good approximation".

For instance, lets take 1 kilogram of water. Raising its temperature by 1 K requires energy 4182 J.
This is equivalent to, according to ##E=mc^2## the mass ##4.6\cdot 10^{-14}## kg.
We could flip it around the other way. If we add enough heat to double the mass, that will increase the temperature by roughly 21 trillion degrees. By which point the the specific heat of the substance may no longer be unchanged "to a good approximation".
 
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