**76) Determine the soil’s relative density if it has a dry density of 17.5KN/m3. It also has densities corresponding to mostly compacted & loosest states as 18.5 KN/m3 & 13 KN/m3. **

- a) 0.821
- b) 0.865
- c) 0.869
- d) 0.860

Komal Bhandakkar Answered question January 5, 2021

**Answer: b) 0.865**

Explanation:

Given Data:

- Dry density soil, γd = 17.5 KN/m3
- Maximum dry density of soil, γd(max.) = 18.5kN/m3
- The minimum dry density of soil, γd(min.) = 13kN/m3
The formula of relative density is given below,

ID= ([γd-γ(min)] γd(max.))/([γd(max.)-γd(min.)]γd)

ID = [17.5-13]x18.5/(18.5-13)x17.5

ID = 0.865

Hence, the relative density of soil is found to be 0.865

Komal Bhandakkar Edited answer January 5, 2021