Understanding the Law of Conservation of Mass: Mathematical and Verbal Proofs

AI Thread Summary
The law of conservation of mass asserts that the total mass remains constant in a closed system during chemical or physical changes, meaning mass is neither created nor destroyed. However, this principle does not apply to density, as density is defined as mass divided by volume. When the shape of an object changes, its volume may alter while the mass remains the same, resulting in a different density. For example, a solid cube and a rectangular prism can have the same mass but different volumes, leading to different densities. Thus, while mass conservation holds, density can vary due to changes in volume.
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Homework Statement


The conservation of Mass states that the total mass of substances is the same before and after a chemical or physical change occurs. Explain why this is true in yet not true of density. Explanations to include mathematical as well as verbal proofs.


The Attempt at a Solution


The law of conservation of mass, also known as Lomonosov-Lavoisier law, states that the mass of substances in a closed system will remain constant. Mass is neither created nor destroyed.
I can't explain why this is true but i think i know why it is not true of density.
Density = mass/volume
if a solid square has 1*1*1 volume, and mass and changes to a rectangle. According to the law of conservation of mass the mass has to be same as the solid quare that has 1*1*1* volume and mass. but density cannot area changes and there for volume changes. Different density will come out if there is diffent volume but same mass.
 
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yjk91 said:
Density = mass/volume
Pretty much covers it.
 
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