Question

4. Alcohol of mass 21g and density 0.7gcm-3 is mixed with 10g of water. Determine the density

of the mixture. (density of water = 1.0g cm-3)

Answer 1

The density of the mixture is 0.775 g/cm³

Step-by-step explanation:

The given parameters are;

The mass of the alcohol, m₁ = 21 g

The density of the alcohol, ρ₁ = 0.7 g/cm³

The mass of the water with which the alcohol is mixed, m₂ = 10 g

The density of wate, ρ₂ = 1.0 g/cm³

The density of a substance is given by the ratio of the mass to the volume of the substance

The density of the mixture, ρ is given as follows;

`\rho = (m_1 + m_2)/((m_1)/(\rho_1) + (m_2)/(\rho_2) )`

Therefore;

`\rho = (21 + 10)/((21)/(0.7) + (10)/(1.0) ) = 0.775`

The density of the mixture, ρ = 0.775 g/cm³.