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Answer :
Final answer:
By multiplying the molar mass of gold by the number of moles, 5.50 mol imes 197 g/mol, we obtain the mass of 1083.5 g, which we convert to 1.0835 kg of gold.
The correct option is none of these.
Explanation:
To solve for the mass of 5.50 mol of pure gold, we use the formula:
Molar mass of gold (Au) = 197.0 g/mol
Mass = Molar mass imes Number of moles
Mass = 197.0 g/mol imes 5.50 mol
Mass = 1083.5 grams
To convert the mass from grams to kilograms, we divide by 1000:
Mass in kilograms = 1083.5 g imes (1 kg / 1000 g)
Mass in kilograms = 1.0835 kg
To find the mass in kilograms, we multiply the given number of moles by the atomic mass: 5.50 mol imes 197 g/mol (since 1 mol of gold has a mass of 197 g).
The answer is 1083.5 g, which we then convert into kilograms, giving us 1.0835 kg of gold.
The correct option is none of these.
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