How do mass and density relate in iron blocks when volume changes?

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In the discussion on the relationship between mass, density, and volume in iron blocks, it is established that when the volume of an iron block is doubled, its mass also doubles, but the density remains constant. Density is defined as the ratio of mass to volume, and thus, if both mass and volume are increased proportionally, the density does not change. This principle illustrates the distinction between intrinsic properties like density and extrinsic properties like mass and volume. The conversation also touches on statistical mechanics, suggesting a deeper exploration of physical situations related to these concepts. Understanding these relationships is crucial for grasping the fundamental properties of materials.
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a block of iron defined by parameters mass,volume and density.when volume is doubled,the mass is also doubled;but the density of doubled volume of iron block remains the same.how do you distinguish the parameters mass and density.give any example (may be 2 or 3),so that i can understand well
thank u for taking ur valuable time.
 
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The density is the RATIO between mass and volume, \rho_{1}=\frac{m_{1}}{V_{1}}
where \rho_{1} stands for density for the first block, m_{1},V_{1} mass and volume for block 1 respectively.
If we look at a block 2 with twice the mass of block 1, that is m_{2}= 2m_{1}, and doubled volume V_{2}=2V_{1}, the density of this block is:
\rho_{2}=\frac{m_{2}}{V_{2}}=\frac{2m_{1}}{2V_{1}}=\frac{m_{1}}{V_{1}}=\rho_{1}
that is, the densities of the blocks are equal.
 
iam speaking statistically

as per STATISTICAL MECHANICS APPLY UR idea and can u eloborate the physical situation.
thank u
 
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