Question

The relative density of a substance is 0.28,what is its density in CGS and SI units.​

Answer 1

Given:

Relative Density of a substance is 0.28.

To find:

Density in CGS and SI unit ?

Calculation:

• Relative density is the ratio of density of a substance to the density of water at 4°C.

IN CGS SYSTEM:

$RD = \dfrac{ \rho_{substance} }{ \rho_{water \: at \: {4}^{ \circ}C }}$

$\implies 0.28= \dfrac{ \rho_{substance} }{ 1 \: g / {cm}^{3} }$

$\implies \rho_{substance} = 0.28 \: g/ {cm}^{3}$

IN SI SYSTEM:

$RD = \dfrac{ \rho_{substance} }{ \rho_{water \: at \: {4}^{ \circ}C }}$

$\implies 0.28= \dfrac{ \rho_{substance} }{ 1000 \: kg / {m}^{3} }$

$\implies \rho_{substance} = 280 \: kg/ {m}^{3}$

So, density in CGS system is 0.28 g/cm³ and SI system is 280 kg/m³.