Determine the density of an alloy of gold weighing 200g and silver weighing 300g, if the density
January 4, 2021 | education
| Determine the density of an alloy of gold weighing 200g and silver weighing 300g, if the density of gold is 19360kg / m3, and silver is 1050kg / m3.
These problems: m1 (mass of gold in the alloy) = 200 g (in SI m1 = 0.2 kg); m2 (weight of silver) = 300 g (in SI m2 = 0.3 kg).
Reference values: according to the condition ρ1 (gold density) = 19630 kg / m3; ρ2 (density of silver) = 10500 kg / m3.
The density of the created alloy is determined by the formula: ρ = m / V = (m1 + m2) / (V1 + V2) = (m1 + m2) / (m1 / ρ1 + m2 / ρ2).
Let’s calculate: ρ = (0.2 + 0.3) / (0.2 / 19630 + 0.3 / 10500) ≈ 12900 kg / m3.
Answer: The created alloy will have a density of 12900 kg / m3.
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