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

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The discussion focuses on the relationship between mass, volume, and density in iron blocks, specifically when the volume is doubled. It establishes that when both mass and volume are doubled, the density remains constant, as demonstrated by the formula for density, ρ = m/V. The example provided illustrates that if block 2 has twice the mass and volume of block 1, their densities are equal, confirming that density is a ratio of mass to volume. The conversation also touches on the distinction between intrinsic and extrinsic properties in the context of density.

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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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