Description
The atomic mass of platinum is 195.1. A cube of platinum weighs 24.8g and its density is 21.45g/cm^3.
Calculate.
If we consider the sample is composed of spherical atom each with radius r and volume Vatom =4/3Pir^3, and if we assume that the total volume of the spheres in the sample is 74% of the total volume, calculate the radius of a single platinum atom in picometers.
Explanation & Answer
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the no. of atoms in one mole = 6.022 x 10^23
no. of atoms in 24.8 g of platinum = 7.65 x 10^22 atoms
the volume of atoms = 24.8 / 21.45 = 1.156 cm^3
the net volume of atoms = 0.74 x total volume = 0.74 x 1.156 cm^3 = 0.855 cm^3
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