We perform an experiment in Which we put gold nanoparticles (radius r = 22 pm} mass density Pm = 19.3 gfcmB) into a container of water with a temperature of 20'c. Such a system is called a colloidal suspension (solid particles distributed in a liquid phase). The diffusion of nangpgrticleg distributed in the liquid phase is able to balance the sedimentation caused by the earth's gravity, and the particles in thermodynamic equilibrium have a clear density profile as a function of height The data file colloid.ggt contains the depth profile of the colloidal gold particles of this type of system. Specify the given information based on the estimate for Boltzmann's constant 5% (Remember to take into account the buoyancy exerted by the water on the nanoparticles.) Open up the selection steps of your calculations and present a graph of the t of the selected curve to the given data. Comment your result. This experimental setup was actually one ofthe most accurate methods of determining the magnitude of Avogadro's number at the time. colloid.gt: Thenunmerofgmdpadtbsatdbmmthmgmshisgwenbdow (in micrometers) from the bottom of the container. T = 20\" C, particle radius r = 22 gm} particle mass density rho = 19.3 gfcmn3 h (um) Number 0 889 100 692 200 572 300 426 400 357 500 253 600 217 700 185 800 152 900 125 1000 108 1100 78