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 x (mass of gold)/(total mass). (b) Calculate the volumes of gold and copper, respectively, used to manufacture the coin. (c) Calculate the density of the British sovereign coin.

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Asked Dec 23, 2019
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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 x (mass of gold)/(total mass). (b) Calculate the volumes of gold and copper, respectively, used to manufacture the coin. (c) Calculate the density of the British sovereign coin.

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Expert Answer

Step 1

Given:

Total mass of British sovereign coin = 7.988 g

Gold karat in coin = 22 karat.

Step 2

Part a)

The mass of gold is given as,

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mass of gold karat = 24 x- total mass karat x total mass mass of gold 24 22 x 7.988 mass of gold : 24 mass of gold = 7.322 gm. mass of gold = 0.00732 kg.

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Step 3

Part b)

Density of copper = 8.95 g/cm3. = 8950 kg/m3.

Density of gold = 19.32 g/cm3. = 19320 kg/m3...

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mass of gold volume of gold = density of gold 0.00732 volume of gold 19320 volume of gold = 3.789×10- m³ volume of gold = 0.3789 cm³ Now, volume of copper is, mass of copper volume of copper density of copper 0.007988 – 0.00732 volume of copper : 8950 volume of copper = 7.44 x 10-³ m³ volume of copper = 0.0744 cm

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