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A soil sample has void ratio of 0.5 and its porosity will be close to
50 %
66 %
100 %
33 %
33 %
D is correct because substituting e=0.5 into the porosity formula n=e/(1+e) yields 0.333, which is 33.3%.
Void ratio (e) = 0.5
n=1+eeтАЛ
Identify given parameters
The given void ratio e is 0.5. We need to calculate the porosity n.
e=0.5
State the relationship
The relationship between porosity n and void ratio e is defined by the formula:
n=1+eeтАЛ
Calculate porosity
Substitute the value of e into the formula: n=0.5/(1+0.5)=0.5/1.5.
n=1.50.5тАЛ=31тАЛтЙИ0.333
Convert to percentage
To express porosity as a percentage, multiply the result by 100.
n%=0.333├Ч100=33.3%
D is correct because substituting e=0.5 into the porosity formula n=e/(1+e) yields 0.333, which is 33.3%.
Always remember that porosity n must always be less than 1 (or 100%), whereas void ratio e can be greater than 1.
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