6) (5p) an ice crystal in form of a thin hexagonal plate grows by diffusion in an environment saturated with respect to water at a temperature of -4°c and a pressure of 80 kpa. a) determine the time required for it to grow to a diameter of 1 mm, starting from a mass of 10-s kg. take the geometry factor to be that of a circular disk. assume that mass and diameter of the plate are related by m = 1.9 × 10-2 , with mass in gram and d in cm. neglect ventilation effects. (2p) b) if diameter and fall speed are related by u = c* d (with c = 520 s-1), determine the distance the crystal falls during the growth to 1 mm diameter. (2p) c) why is knowledge of the mass-size relation so important in cloud microphysics? (1p)

The answers would be: 1: the liquid only contains one compound4: the liquid is a pure substance

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.