What's the Difference Between Mass and Amount of Matter?

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SUMMARY

The discussion clarifies the distinction between mass and the amount of matter, specifically highlighting that mass is measured in kilograms (kg) and refers to an object's inertia and gravitational response, while the amount of matter is quantified in moles (mol) and represents a count of particles such as atoms or molecules. The conversation emphasizes that mass resists acceleration and is influenced by gravity, while the concept of a "point mass" is addressed, noting that fundamental particles like electrons can be treated as point particles. The Equivalence Principle is mentioned as a key concept for further exploration.

PREREQUISITES
  • Understanding of basic physics concepts, including mass and force.
  • Familiarity with units of measurement, specifically kilograms and moles.
  • Knowledge of the Equivalence Principle in physics.
  • Basic comprehension of particle physics and point particles.
NEXT STEPS
  • Study the Equivalence Principle in detail to understand its implications in physics.
  • Explore the concept of inertial mass and its role in Newton's second law (f = ma).
  • Learn about the characteristics of fundamental particles and their treatment as point particles.
  • Investigate the relationship between mass and gravitational forces, particularly in the context of general relativity.
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Students in thermo-fluid science, physics enthusiasts, educators teaching basic physics concepts, and anyone interested in the foundational principles of mass and matter.

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"Mass' versus "Amount of matter"

Homework Statement



I just started a thermo-fluid science course and am confused with a table showing common dimensions

Homework Equations



Dimension...Unit
Mass......kilogram (kg)
Amount of matter...mole (mol)

The Attempt at a Solution



I thought mass was the amount of matter something had. Then what's the difference between a kilogram and a mole?
 
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JJBladester said:

Homework Statement



I just started a thermo-fluid science course and am confused with a table showing common dimensions

Homework Equations



Dimension...Unit
Mass......kilogram (kg)
Amount of matter...mole (mol)

The Attempt at a Solution



I thought mass was the amount of matter something had. Then what's the difference between a kilogram and a mole?

A mole is a count of particles (atoms, molecules, etc.) comprising something. Mass refers to that something's inertia and/or response to a gravitational field.
 


gneill said:
A mole is a count of particles (atoms, molecules, etc.) comprising something. Mass refers to that something's inertia and/or response to a gravitational field.

I'm thinking back to my 4th grade science teacher's saying: "Matter is anything that has mass and takes up space."

The "has mass" part means that the matter resists being pushed by an external force (interia) and that the matter can be tugged by gravity.

Is this correct?

The "takes up space" part means that there's no such thing as a "point mass" in which something could have matter but would be physically dimensionless, right? It's funny how often we use point-mass approximations in basic physics courses.
 


JJBladester said:
I'm thinking back to my 4th grade science teacher's saying: "Matter is anything that has mass and takes up space."

The "has mass" part means that the matter resists being pushed by an external force (interia) and that the matter can be tugged by gravity.

Is this correct?
In a simplistic way, yes, it is correct. Quite suitable for 4th grade science. At deeper levels physics recognizes three types of mass: Inertial mass (the resistance to be accelerated), corresponding to the m that appears in the formula f = ma; and active and passive gravitational masses that appear as M and m in the formula f = GMm/r2, where f is the force that M produces on m. In practice, thanks to the Equivalence Principle, all three masses have the same numerical value for all three cases.

The "takes up space" part means that there's no such thing as a "point mass" in which something could have matter but would be physically dimensionless, right? It's funny how often we use point-mass approximations in basic physics courses.

This is another one of those things that gets modified by a deeper look. It turns out that certain fundamental particles, like the electron, are point particles to the very best of our ability to measure. For these we treat them as point particles and place an upper bound on their possible size (experiment shows that they cannot be larger than this, usually fantastically tiny, size).
 


Thanks gneill... Very informative! I am going to study the Equivalence Principal to go even deeper.
 

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