The British gold sovereign coin is an alloy of gold and copper having a total ma
ID: 1782712 • Letter: T
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). .0073223 Correct: Your answer is correct. kg
(b) Calculate the volumes of gold and copper, respectively, used to manufacture the coin.
volume of gold m3
volume of copper m3
(c) Calculate the density of the British sovereign coin.
kg/m3
I am having trouble with parts (B) and (C) please show work
Explanation / Answer
a] Density of gold = 19.32 g/cm^3 = 19320 kg.m^3
Density of copper = 8.95 g/cm^3 = 8950 kg/m^3
Mass of coin = 7.988 g
The mass of gold = 22/24*7.988 g = 7.3223 g = 0.0073223 kg
b] The mass of copper = 7.988 - 7.3223 g = 0.6657 g = 0.0006657 kg
Volume of gold = mass / density = 7.3223 g / 19.32 g/cm^3
= 0.379 cm^3
Volume of copper = mass / density = 0.6657 g / 8.95 g/cm^3
= 0.0744 cm^3
c] Density = mass / volume = 7.988 / ( 0.379 + 0.0744 )
= 17.62 g/cm^3
= 17620 kg/m^3
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