a) To the nearest dollar, what is this gold worth? Express your answer using fou

Question

a) To the nearest dollar, what is this gold worth? Express your answer using four significant figures. b) If you have your gold formed into a spherical nugget, what is its diameter? To the nearest dollar, what is this gold worth? Express your answer using four significant figures. b) If you have your gold formed into a spherical nugget, what is its diameter? If you have your gold formed into a spherical nugget, what is its diameter? Suppose you inherit 3.06 mol of gold from your uncle (an eccentric chemist) at a time when this metal is selling for $ 14.64 per gram. Molar mass of the gold is 196.97 g/mol and it's density is 19300 kg/m^3. a) To the nearest dollar, what is this gold worth? Express your answer using four significant figures. b) If you have your gold foed into a spherical nugget, what is its diameter?

Explanation / Answer

( a )

mass of gold inherited = 196.97 * 3.06 = 607.7282 g ;

worth of gold = 607.7282 * 14.64 = 8823.940848 ;

( b) V =( 4/ 3 ) r^3 = volume of gold ;

V = mass / density = 607.7282 / 19.3 [ desnity of gold = 19300 kg / m^3 = 19.3 g / m^3 ] ;

V = 31.488507

V = ( 4/ 3 ) r^3 =  31.488507

or r = 1.958940

or d = 3.9178802 cm

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