Gold in its pure form is too soft to be used for most jewelry. Therefore, the go

Question

Gold in its pure form is too soft to be used for most jewelry. Therefore, the gold is mixed with other metals to produce an alloy. The composition of gold alloys are always calculated by mass, using the karat (kt) as a unit of measure. A karat represents a proportion by mass of one part in twenty-four. The higher the karat value, the higher the proportion of gold in relation to the total metal content. Pure gold is therefore 24 karat, while an 18-karat gold alloy contains (at least) 18 parts (by mass) of gold out of 24 parts total. Express your answer in grams per cubic centimeter to three significant figures.

Explanation / Answer

let the mass of the sample be M. m_g=0.75M. m_s=0.16M and m_c=0.09M. volume = mass / density. so V_g=0.75M/19.3 V_s=0.16M/10.5 and V_c=0.09M/8.9 average density of the sample M. D=M/(V_g+V_s+V_c)=M/(0.75M/19.3+0.16M/10.5+0.09M/8.9)=15.6(g/cm3)

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