(a) What is the difference between the density and relative density of a substance ?
(b) If the relative density of a substance is 7.1, what will be its density in SI units ?


(a). Difference between the density and relative density:

DensityRelative density
Density is the mass of a substance per unit volume.
Relative density is the ratio of the density of the substance to the density of the water.
$\boxed{density=\frac{mass}{volume}}$

$\boxed{Relative\ density=\frac{density\  of\ the\ substance}{density\ of\ the\ water}}$


(b). The relative density of the substance $=7.1$


We know, $Relative\ density=\frac{density\  of\ the\ substance}{density\ of\ the\ water}$


Therefore, $7.1=\frac{density\ of\ the\ substance}{1000\ kg/m^3}$    [density of the water is $1000\ kg/m^3$]


Or $density=7.1\times1000\ kg/m^3$


Or $density=7.1\times10^3\ kg/m^3$


Therefore, the density of the water is $7.1\times10^3\ kg/m^3$.

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Updated on: 10-Oct-2022

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