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The average atomic mass of gold if half of the gold found in nature has a mass of 197 AMU and half has a mass of 198 AMU is 197.5 AMU.
Atomic mass is the mass of an atom measured in atomic mass units (AMU). It is calculated by taking the average of the masses of all the isotopes of an element. Gold has two naturally occurring isotopes: gold-197 (Au-197) and gold-198 (Au-198). Gold-197 has a mass of 197 AMU, and gold-198 has a mass of 198 AMU.
To calculate the average atomic mass of gold, we need to take the weighted average of the masses of the two isotopes. We can do this by multiplying the mass of each isotope by its relative abundance in nature, and then adding the products together:
Average atomic mass of gold = (197 x 0.5) + (198 x 0.5)
The average atomic mass of gold = 197.5 AMU
Therefore, the average atomic mass of gold if half of the gold found in nature has a mass of 197 AMU and half has a mass of 198 AMU is 197.5 AMU.
Learn more about the most common isotope of gold:
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