How did Rutherford arrive at the conclusion that the volume occupied by the nucleus is negligibly small as compared to the total volume of the atom?

A vessel has nitrogen gas and water vapour in equilibrium with liquid water at a total pressure of 1 atm. The partial pressure of water vapours is 0.3 atm. The volume of this vessel is reduced to one third of the original volume, at the same temperature, then total pressure of the system is: (Neglect volume occupied by liquid water)

Calculate the pressure exerted by 5 mole of CO_2 in one litre vessel at 47^@C using van der Waals equation. Also report the pressure of gas if it behaves ideal in nature. Given that a = 3.592 atm L^2mol^(-1),b=0.0427Lmol^(-1) . Also, if the volume occupied by CO_2 molecules is negligible, then calculate the pressure exerted by one mole of CO_2 gas at 273 K.

Which occupy peak of the atomic volume curve-

What is the order of magnitude of the ratio between the volume of an atom and that of its nucleus ?

Silver crystallises in a face-centred cubic structure. If the edge length of the unit cell be a and the diameter of Ag-atom be d, then show that a=dsqrt2 . What fraction of the total volume in the unit cell is occupied by Ag atoms?

A metal M of atomic masss 54.94 has a density of 7.42g/ cm^(3) . Calculate the volume occupied and the radius of the atom of this metal assuming it to be a sphere.