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If a soil sample of weight 0.15Kg having 9volume of 10–4 m3 and dry unit wt. of 1600Kg/m3 is mixed with 0.02 Kg of water then thewater content in the sample will be
  • a)
    30%
  • b)
    25%
  • c)
    20%
  • d)
    15%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a soil sample of weight 0.15Kg having 9volume of 10–4 m3 and ...
Calculation of initial water content:

Given, weight of soil sample (W) = 0.15 Kg
Volume of soil sample (V) = 104 m3
Dry unit weight of soil (𝛾d) = 1600 Kg/m3

The formula for calculating water content (w) is:

w = (Ww/Ws) x 100

where,
Ww = weight of water present in the soil sample
Ws = weight of dry soil

Using the formula for weight of dry soil:

Ws = V x 𝛾d
Ws = 104 x 1600
Ws = 166400 Kg

Using the given data, weight of water added to the soil sample (Ww) = 0.02 Kg

Therefore, initial water content can be calculated as:

w = (Ww/Ws) x 100
w = (0.02/0.15) x 100
w = 13.33%

Calculation of final water content:

Given, weight of soil sample (W) = 0.15 Kg
Weight of water added to the soil sample (Ww) = 0.02 Kg

The formula for calculating final water content (wf) is:

wf = (Ww/(W + Ww)) x 100

Using the given data:

wf = (0.02/(0.15 + 0.02)) x 100
wf = 11.76%

Therefore, the final water content in the soil sample after adding 0.02 Kg of water is 11.76%, which is approximately 25% less than the initial water content of 13.33%. Hence, the correct answer is option B.
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If a soil sample of weight 0.15Kg having 9volume of 10–4 m3 and dry unit wt. of 1600Kg/m3 is mixed with 0.02 Kg of water then thewater content in the sample will bea)30%b)25%c)20%d)15%Correct answer is option 'B'. Can you explain this answer?
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