Question

In wet soil mass, air occupies one-seventh of its volume and Water occupies one- eighth of its volume. What will be the ratio of volume of voids with respect to the total volume? *

Answer 1

Answer:

answer is (1)

explanation:

volume = 1

Answer 2

Given: In wet soil mass, air occupies one-seventh of its volume and Water occupies one-eighth of its volume.

We have to find the ratio of the volume of voids with respect to the total volume.

The formula for calculating the void ratio is$\mathrm{e}=\frac{\mathrm{V}_{\mathrm{v}}}{\mathrm{V}_{\mathrm{s}}}$.

The given question is solved in the following way,

We have,

$=>V_{a}= \frac{1}{7} of V\\\\=>V_{w} =\frac{1}{8} of V$

We know that,

$V_{v} =V_{a} +V_{w}$

Therefore,

$=>V_{v} =\frac{1}{7} +\frac{1}{8} \\\\=>V_{v} =0.267$

As we know that,

$V_{s} =V-V_{v}$

Therefore,

$V_{s}= V-0.26$

From the concept of void ratio,

$=>e=\frac{V_{v} }{V_{s} } \\\\=>e=\frac{0.267}{V-0.267}$  

Hence, the ratio of the volume of voids with respect to the total volume is$e=\frac{0.267}{V-0.267}$.