Question

The relative density of a substance is 10.8. The density of water is 10cube kg m-3. What is the density of the substance

Answer 1

$\large{\underline{\underline{\mathfrak{Answer :}}}}$

• Density of substance is 10,800 kg/m³

$\rule{200}{0.5}$

$\underline{\underline{\mathfrak{Step-By-Step-Explanation :}}}$

Given :

• Relative Density (ρ) = 10.8 kg/m³
• Density of water (ρ1) = 10³ kg/m³

_________________________

To Find :

• Density of Substance (ρ2)

_________________________

Solution :

We know that :

$\large{\boxed{\sf{Relative \: Density \: = \: \dfrac{Density \: of \: substance}{Density \: of \: water}}}} \\ \\ \implies {\sf{\rho \: = \: \dfrac{\rho_2}{\rho _1}}} \\ \\ \implies {\sf{\rho _2 \: = \: \rho \: \times \: \rho _1}} \\ \\ \implies {\sf{\rho _2 \: = \: 10.8 \: \times \: 10^3}} \\ \\ \implies {\sf{\rho _2 \: = \: 10,800}} \\ \\ \underline{\sf{\therefore \: Density \: of \: substance \: is \: 10,800 \: kg m^{-3}}}$

$\rule{200}{2}$

$\large{\underline{\underline{\mathfrak{Additional \: Information \: :}}}}$

• Relative density is defined as ratio of Density of substance by the density of water at 4° C.

• It have no units.

• Relative Density = Density of substance/ Density of water

Answer 2

Answer:

Given:

Relative density of substance = 10.8

And density of water at 4°C is 10³ kg/m³

To find:

Actual density of substance

Concept:

Relative density is a ratio of the density of any substance to the density of water at 4°C. Since it's a ratio of similar quantities, we can say that relative density has no unit.

Calculation:

$\boxed{ \bold{relative \: density = \dfrac{\rho_{subs.}}{\rho_{water}} }}$

$= > 10.8 = \dfrac{\rho_{subs.}}{ {10}^{3} }$

$= > \rho_{subs.} = 10.8 \times {10}^{3} \: kg {m}^{ - 3}$

Converting to g/cc :

$= > \rho_{subs.} = 10.8 \: g {cm}^{ - 3}$

So final answer :

$\boxed{ \red{ \bold{ \huge{ \rho_{subs.} = 10.8 \: g {cm}^{ - 3} }}}}$