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Soil Mechanics and Foundation Engineering - Engineering

Q1:

The fundamental equation of air content (ac), degree of saturation (Sr) and void ratio (e), is

A ac =

B ac =

C ac =

D ac = 1 + e/Sr

ANS:C - ac =

We know that vol Of voids = vol Of air + vol Of water.

Dividing both sides with vol Of voids then we get air content + degree of Saturation = 1. The percentage of air voids should be on LHS which is equal to porosity*air content, air content is equal to 1-S, porosity = e/1+e. Actually here is not air content, here is air voids.
ac+Sr=1, ac=1-Sr.
Na=ac*n, n=e/1+e.
Na=e(1-Sr)/(1+e).