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	m3
volume of copper	m3

(c) Calculate the density of the British sovereign coin.
kg/m³

Answer 1

a) Total mass of the coin-m- 7.988x103 kg Number of coils-n-22 Density of gold- p 19.3x10 kg/m3 Density of copper- p, -8.92x10 kg/m3 ) mass of gold total mass Number of carts24 The mass of the gold is, x total mass 7.988x103 7.3223x 10-3 kg 24 24 b) The volume of the gold coin is, 7.3223x103 19.3x103 3.79x10 m3 The mass of the copper in the coin is, m,-(7.988x 10-3 )-(7.3223x 10-3 ) 6.6567x104 kg The volume of the coin is, 6.6567 x10 8.92 x103 7.46x10-S m5 c)The total of the coin is, (3.79x10)+(7.46x10*) 4.54x10-7 m3 The density of the coin is, total mass total volume 7.988x103 4.54x10 17.6x10* kg/m3