The British gold sovereign coin is an alloy of gold and copper having a total ma

Question

The British gold sovereign coin is an alloy of gold and copper having a total mass of 7.988 g, and is 22-karat gold. (a) Find the mass of gold in the sovereign in kilograms using the fact that the number of karats = 24 (mass of gold)/(total mass). kg (b) Calculate the volumes of gold and copper, respectively, used to manufacture the coin. volume of gold Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m3 volume of copper Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m3 (c) Calculate the density of the British sovereign coin. kg/m3

Explanation / Answer

Density of Gold = 19.3 g/mL, and density of Copper = 8.96 g/mL

If it's 22 karat, So the mass of gold in the coin is 22/24 * 7.988g = 7.323g=7.323*10-3 kg

the mass of Cu is 0.665g =0.665*10-3 kg

volume of gold=7.3232/19.3=0.379 mL gold =0.379*10-6 m3

and volume of Cu=0.074 mL Cu.=0.074*10-6 m3

density =total mass / total volume=7.988 / (.379 + .074) = 17.63g/mL=17.63*1000=17630 kg/m3

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