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Solution: The karat scale used to describe gold alloys is based on mass percentages. If an alloy is formed that is 50 mol% copper and 50 mol% gold, what is the karat number of the alloy? What is the color of this alloy?

Problem

The karat scale used to describe gold alloys is based on mass percentages. If an alloy is formed that is 50 mol% copper and 50 mol% gold, what is the karat number of the alloy? What is the color of this alloy?

A diagram shows gold at the top vertex of a triangle and silver and copper at its left and right vertices, respectively. Along the left side of the triangle is mass percent silver, ranging from 0 to 100 percent, and along the right side is mass percent gold, ranging from 0 to 100 percent. Along the base of the triangle is mass percent copper, also ranging from 0 to 100 percent. The bottom left corner is white gold, and the bottom right corner is copper red gold. A tall vertical region around 60% copper is reddish, which includes 14-karat gold (58% gold and 45% Ag). The diagram shows that 18 karat gold is 75% gold by mass and has a yellow color, 14 karat gold is 58% gold by mass and has a reddish color, white gold is below 20% gold by mass and is white, and rose gold is below 20% gold by mass and red. The atomic radius of silver is 4.085 angstroms, the atomic radius of copper is 3.615 angstroms, and the atomic radius of gold 4.078 angstroms.