Respuesta :

onyebuchinnaji

The bulk density of the soil sample at the given porosity is 2.12 g/cm³.

The given parameters:

  • Porosity of the soil sample, = 20 %
  • Particle density of the soil sample = 2.65 g/cm³

The bulk density of the soil sample is calculated as follows;

[tex]\phi = \frac{\rho _s - \rho _b }{\rho _s } \times 100\%[/tex]

where;

  • [tex]\phi[/tex] is the porosity
  • [tex]\rho _s[/tex] is the particle density
  • [tex]\rho _b[/tex] is the bulk density

[tex]20\% = \frac{2.65 - \rho _b}{2.65} \times 100\%\\\\0.2 = \frac{2.65 - \rho _b}{2.65} \\\\2.65 - \rho _b = 0.2(2.65)\\\\\rho_b = 2.65 - 0.2(2.65)\\\\\rho_b = 2.65(1 - 0.2)\\\\\rho_b = 2.65(0.8)\\\\\rho_b = 2.12 \ g/cm^3[/tex]

Thus, the bulk density of the soil sample at the given porosity is 2.12 g/cm³.

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