Question

The relative density of lead is 11.3. Its density is _____ $$gcm^{-3}$$ or _______ $$kgm^{-3}$$.

Answer 1

Given,

Relative density of lead, $$R =11.3$$

We know,

Relative density, $$R=\dfrac{Density\ of\ lead\ (\rho_{lead})}{Density\ of\ water\ (\rho_{water})}$$

Density of water, $$\rho_{water}=1000\ kg/m^3=1\ g/cm^3$$

$$\implies \rho_{lead}=11.3\times \rho_{water}$$

$$\rho_{lead}(in\ g/cm^3)=11.3\times 1$$

$$\rho_{lead}(in\ g/cm^3)=11.3\ g/cm^3$$

And,

$$\rho_{lead}(in\ kg/m^3)=11.3\times 1000$$

$$\rho_{lead}(in\ kg/m^3)=11300\ kg/m^3$$