The isothermal compressibility of lead is 2.21x10^-6 atm^-1. Express this value in Pa^-1. A cube of lead of side 10 cm at 25C was to be inserted in the keel of an underwater exploration TV camera, and its designers needed to know the stresses in the equipment. Calculate the change of the volume of the cube at a depth of 1.000km (disregarding the effects of temerature). Take the mean density of sea water as 1.03g cm^-3. Given that the expansion coefficient of lead is 8.61x10^-5 K^-1 and that the temperateure where the camera operates is -5C, calculate the volume of the black taking the temperature into account too.