To find the mass of gold that will have the same volume as 12 grams of silver, we first need to calculate the volume of the silver.
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Calculate the volume of silver using its density: \[ \text{Volume of silver} = \frac{\text{mass}}{\text{density}} = \frac{12 , \text{g}}{10.49 , \text{g/cm}^3} \approx 1.144 , \text{cm}^3 \]
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Now calculate the mass of gold that occupies the same volume: \[ \text{Mass of gold} = \text{Volume} \times \text{Density of gold} = 1.144 , \text{cm}^3 \times 19.32 , \text{g/cm}^3 \approx 22.10 , \text{g} \]
Therefore, the mass of gold that will have the same volume as 12 grams of silver is 22.10 g.