Question

The relative density of lead is 11.3. Its density is ______ g cm^–3or ______ kg m^–3.

Answer 1

The relative density of lead is 11.3. Its density is 11.3 g cm^–3or 11.3 × 10³ kg m^–3.

Explanation:

Relative density of a lead is given by the relation,

`"Relative density" = "Density of lead"/"Density of water"`

Density of water = 1 g/cm³

Density of lead = Relative density of lead x Density of water

=11.3 x 1

= 11.3 g/`"cm"^-3`

Again 1g = `1/1000` kg

`1 cm^3 = 10^(-6)"m"^3`

`1 "g/cm"^3 = 10^(-3)/10^(-6) "kg"/"m"^3 = 10^3 "kg/m"^-3`

`:. 11.3 "g/cm"^-3 = 11.3 xx 10^3 "kg/m"^-3`

Answer 2

Density= 11.3 g/cm3

=11.3 x 10³ kg m^-3 [1 kg =10³ g, 1 m = 102 cm]

=11.3 x 10³ kg m^-3