The relative density of mercury is 13.6. State it's density in (i) C.G.S. unit (ii) S.I. unit.

Given,

relative density of mercury = 13.6

(i) In C.G.S. unit,

R.D. = $\dfrac{\text {Density of substance in g cm}^{-3}}{\text{1.0 g cm}^{-3}}$

Substituting the values we get,

13.6 = $\dfrac{\text {Density of substance in g cm}^{-3}}{\text{1.0 g cm}^{-3}}$

Density of substance in g cm^-3 = (13.6) x (1.0) g cm^-3

Therefore,

Density of mercury in C.G.S. unit = 13.6 g cm^-3

(ii) In S.I. unit,

R.D. = $\dfrac{\text {Density of substance in kg m}^{-3}}{\text{1000 kg m}^{-3}}$

Substituting the values we get,

13.6 = $\dfrac{\text {Density of substance in kg m}^{-3}}{\text{1000 kg m}^{-3}}$

Density of substance in kg m^-3 = (13.6) x (1000) kg m^-3

Therefore,

Density of mercury in S.I. unit = 13.6 x 10³ kg m^-3