Chemistry, 29.06.2019 15:20 gracie0818

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

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Answer from: weirdojuwin

(a) Mass of gold = 0.0073223 kg.

(b) V of gold 3.79 x 10⁻⁷ m³ & ∴ V of copper = 7.438 x 10⁻⁸ m³.

Explanation:

(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).

∵ the number of karats = 24 (mass of gold)/(total mass)

the number of karats = 22-karat gold,

mass of gold = ??? g,

total mass = 7.988 g.

∴ mass of gold = (the number of karats)(total mass)/24 = (22)(7.988 g)/(24) = 7.3223 g = 0.0073223 kg.

(b) Calculate the volumes of gold and copper, respectively.

∵ Mass of coin = 7.988 g.

∵ mass of gold = 7.3223 g.

∴ mass of Cu = Mass of coin - mass of gold = 7.988 g - 7.3223 g = 0.6657 g = 0.6657 x 10⁻³ kg.

To find the volume of Copper and gold, we can use the relation:

V = m/d.

where, V is the volume of the material,

m is the mass of the material,

d is the density of the material.

For gold:

Density of gold = 19,320 kg/m³, mass of gold = 0.0073223 kg.

∴ V of gold = m/d = (0.0073223 kg)/(19,320 kg/m³) = 3.79 x 10⁻⁷ m³.

For copper:

Density of copper = 8,950 kg/m³, mass of copper = 0.6657 x 10⁻³ kg.

∴ V of copper = m/d = (0.6657 x 10⁻³ kg)/(8,950 kg/m³) = 7.438 x 10⁻⁸ m³.

To find the density of the British sovereign coin, we can use the relation:

d = m/V.

mass of the British sovereign coin = 7.988 g = 0.007988 kg.

Volume of the British sovereign coin = V of gold + V of copper = (3.79 x 10⁻⁷ m³) + (7.438 x 10⁻⁸ m³) = 4.534 x 10⁻⁷ m³.

∴ Density of the British sovereign coin = m/V = (0.007988 kg)/(4.534 x 10⁻⁷ m³) = 17,620 kg/m³.

Answer from: Quest

You use the atomic number to find out how many protons and neutrons there are in the atom. you use the atomic mass to find out how many protons and electrons there are in the atom.

Answer from: Quest

The correct answer would be b) volume versus temperature, because they are also directly proportional.

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