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How do you calculate the atomic radius of Platinum using it's density?

Answer:
Given the density, you can find the volume per mole of metal by taking dividing the molarity by the density. Using this, you can find the volume of a mole of atoms (this is a different value) by multiplying to the volume per mole of the metal by the packing efficiency. Next, divide the volume of a mole of atoms by the Avagadro's number. Then, using the volume of a sphere, you can find the radius.

Here's a better explanation using formulas:

Volume per mole of metal = Molarity/Density

Volume per mole of atoms = (Volume per mole of metal) x (Packing Efficiency)

Volume of 1 atom = Volume per mole of atoms/6.022 x 1023

Volume of 1 atom = (4/3) x pi x radius3
First answer by Chiefofclarinet. Last edit by A houari. Contributor trust: 2 [recommend contributor recommended]. Question popularity: 9 [recommend question].