State Avogadro's hypothesis. Prove with the help of Avogadro's hypothesis that molar mass of any gases twice its vapour density.

With the help of Avogadro's hypothesis prove that the molar volume of all gases is 22.4 dm^3 at STP.

Estimate the average mass density of a sodium atom assuming its size to be about 2.5 A- (Use the known values of Avogadro’s number and the atomic mass of sodium). Compare it with the density of sodium in its crystalline phase: 970 kg m^(-3) . Are the two densities of the same order of magnitude? If so, why

Calculate the mass of a non-volatile solute of molar mass 40 which should be dissolved in 114g octane to reduce its vapour pressure to 60%

100 g of liquid A (molar mass 140 g mol^-1) was dissolved in 1000g of liquid B (molar mass 180 g mol^-1) . The vapour pressure of pure liquid B was found to be 500 torr: Calculate the vapour pressure of pure liquid A and its vapour pressure in the solution if the total vapour pressure of the solution is 475 Torr.