For most substances, the textbook does not provide tables of thermodynamic properties in the compressed liquid region. If the pressure and temperatures are given for substance in this region, how do you evaluate v(T, P), u(T, P), h(T, P), and s(T, P)?

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.