Determine the density of an alloy of gold weighing 200g and silver weighing 300g, if the density

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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