The isothermal compressibility of diamond is 0.187 x 10-6 atm-1. (a) Express this value in Pa-1. (b) A cube of diamond 10 cm on each side at 25 °C is 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 volume of the cube at a depth of 1.000 km (disregarding the effects of temperature). Take the mean density of sea water to be 1.03 g/cm3. (c) Given that the thermal expansion coefficient of diamond is 0.030 x 10-4 K-1 and that the temperature where the camera operates is -5 °C, calculate the volume of the block taking the temperature into account too