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Find the void ratio in a soil sample. If n=40%, ed max=2.2g/cm2, ed min=1.45g/cm3 and G=2.65.

  • A.0.667
  • B.0.567
  • C.0.285
  • D.0.767

Answer: A

The void ratio is 0.667.

Porosity n and void ratio e are directly related, so only n is needed; the densities and G given are not used.

\[ \begin{aligned} e &= \frac{n}{1 - n} = \frac{0.40}{1 - 0.40} \\ &= \frac{0.40}{0.60} \approx 0.667 \end{aligned} \]

A common slip is to take e = n, or to use the reverse relation \(n = e/(1+e)\), which gives the other options.

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