Answer : The approximate density is [tex]5.77g/cm^3[/tex]
Explanation :
The formula used to calculate the density of the mixture is,
[tex]\rho=[(m_A\times \rho_A)+(m_B\times \rho_B)+(m_C\times \rho_C)][/tex]
where,
[tex]\rho[/tex] = density of mixture = ?
[tex]m_A[/tex] = mass of fraction of component A = 46.3 % = 0.463
[tex]m_B[/tex] = mass of fraction of component B = 23.15 % = 0.2315
[tex]m_C[/tex] = mass of fraction of component C = 30.55 % = 0.3055
[tex]\rho_A[/tex] = density of component A = [tex]2.68g/cm^3[/tex]
[tex]\rho_B[/tex] = density of component B = [tex]5.86g/cm^3[/tex]
[tex]\rho_C[/tex] = density of component C = [tex]10.39g/cm^3[/tex]
Now put all the given values in the above formula, we get:
[tex]\rho=[(0.463\times 2.68)+(0.2315\times 5.86)+(0.3055\times 10.39)][/tex]
[tex]\rho=5.77g/cm^3[/tex]
Therefore, the approximate density is [tex]5.77g/cm^3[/tex]
