Understanding Mass and Density: Exploring the Relationship in Iron Blocks

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In summary, when the volume of an iron block is doubled, its mass is also doubled but the density remains the same. This is because density is the ratio of mass to volume. For example, if block 1 has a mass of m1 and volume of V1, block 2 with twice the mass and volume will have the same density as block 1. This concept is also applicable in statistical mechanics.
  • #1
jaan
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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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  • #3
The density is the RATIO between mass and volume, [tex]\rho_{1}=\frac{m_{1}}{V_{1}}[/tex]
where [tex]\rho_{1}[/tex] stands for density for the first block, [tex]m_{1},V_{1}[/tex] mass and volume for block 1 respectively.
If we look at a block 2 with twice the mass of block 1, that is [tex]m_{2}= 2m_{1}[/tex], and doubled volume [tex]V_{2}=2V_{1}[/tex], the density of this block is:
[tex]\rho_{2}=\frac{m_{2}}{V_{2}}=\frac{2m_{1}}{2V_{1}}=\frac{m_{1}}{V_{1}}=\rho_{1}[/tex]
that is, the densities of the blocks are equal.
 
  • #4
iam speaking statistically

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

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