Question

A soil has liquid limit and plastic limit of 47% and 33% respectively. The volumetric shrinkage at the liquid limit and plastic limit are 50% and 30% respectively. If the volume of sample at liquid limit is 150 ml then volume of sample at plastic limit is

• A. $120ml$
• B. $132ml$
• C. $128ml$
• D. $130ml$

Answer 1

The correct option is D $130ml$

Volumetric shrinkage $\left(V_s\right)=\frac{V-V_d}{V_d}\times 100$

At liquid limit

$V_s=50\%$

$\Rightarrow \frac{V_l-V_d}{V_d}=50\%$

$\Rightarrow V_l=1.5V_d$

$150=1.5V_d$

$V_d=100$

At plastic limit
$V_s=30\%$

$\Rightarrow \frac{V_p-V_d}{V_d}=0.3$

$V_p=1.3\times V_d$

$V_p=130ml$