The following results were obtained from a liquid limit test on a clay using the Casagrande cup device.

Number of blows 6 12 20 28 32
Water Content (%) 52.5 47.1 43.2 38.6 37.0

a) determine the liquid limit of this clay
b) If the natural water conten is 38% and the plastic limit is 23%, calculate the liquidity index
c) Do you expect a brittle type of failure for this soil? Justify your answer..

Please Show all your work

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.