How many total electrons can be contained in the 5f sublevel?

Total number of electrons that can be occupied in 5f-sub-level are 14.

Explanation: f-sub-level has in total 7 orbitals.

Each orbital can hold 2 electrons, both in opposite directions.

As, f-sub-level has in total of 7 orbitals, so the total number of electrons that can be held in 5f-sub-level is ( 7 × 2) = 14 electrons.

the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3