$4\mathrm{.}23$ A liquid limit test has been performed on a soil using the Casagrande cup. In this test, exactly $25$ drops of the cup were required to close the bottom of the standard groove along a longitudinal distance of $1/2$ in$.$ A moisture content test was then performed on the tested soil and yielded the following results:

Mass of soil $+$ can before placing in oven

$52\mathrm{.}20$ g

Mass of soil $+$ can after removal from oven

$41\mathrm{.}52$ g

Mass of can

$22\mathrm{.}40$ g

On the basis of this test only, compute the liquid limit of the soil.