the mass of the cathode increases because ions from the solution get reduced to atoms and become part of the cathode.
explanation:
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c, liquids evaporate, creating a gas
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