What ratio of gold to silver can make the alloy density 11.0g/cm & amp; amp; amp; sup3;
According to the data, ρ gold = 19.3g/cm, ρ silver = 10.5g/cm
Assuming that the mass of gold and silver is M1 g and M2 g respectively, the density of the alloy is 11.0 g / cm
ρ=(m1+m2)/(v1+v2)
=(m1+m2)/(m1/ρ1+m2/ρ2)
=ρ1ρ2(m1+m2)/(m1ρ2+m2ρ1)
The results are as follows
m1/m2=ρ1(ρ2-ρ)/[ρ2(ρ-ρ1)]
=19.3×(10.5-11.0)/[10.5×(11-19.3)]
≈11/100
That is to say, the density of gold silver alloy can be 11.0g/cm and 179; when the mass ratio of gold and silver is 11:100
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