Suppose you inherit 3.00 mol of gold from your uncle (an eccentric chemist) at a

Question

Suppose you inherit 3.00 mol of gold from your uncle (an eccentric chemist) at a time when this metal is selling for $14.75 per gram.
(a) To the nearest dollar, what is this gold worth?
(b) If you have your gold formed into a spherical nugget, what is its diameter?
Suppose you inherit 3.00 mol of gold from your uncle (an eccentric chemist) at a time when this metal is selling for $14.75 per gram.
(a) To the nearest dollar, what is this gold worth?
(b) If you have your gold formed into a spherical nugget, what is its diameter?

Explanation / Answer

a)molar weight of gold=196.96 grams/mole

so you have weight=196.96*3=590.88 grams

so worth=14.75*588=$8715.48

b)density of gold=19.3 gram/cm^3

so volume=30.6155 cm^3

let radius=r

then (4/3)*pi*r^3=30.6155

r=1.94 cm

diameter=3.881 cm

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