Problem: Polonium crystallizes with a simple cubic structure. It has a density of 9.3 g/cm3, a radius of 167 pm, and a molar mass of 209 g/mol.Use these data to estimate Avogadros number (the number of atoms in one mole).

🤓 Based on our data, we think this question is relevant for Professor Savizky's class at COLUMBIA.

FREE Expert Solution

A simple cubic unit cell is composed of a cube with one atom at each of its corners.



# of atoms=8×18

# of atoms = 1 atom per 1 unit cell


volume of unit cell=volume of cubevolume of unit cell=a3a=2r for simple cubic unit cellvolume of unit cell =(2r)3volume of unit cell =(2×167 pm×10-12 m1 pm)3×(1 cm10-2 m)3

volume of unit cell = 3.7259 x 10-23 cm3


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Problem Details

Polonium crystallizes with a simple cubic structure. It has a density of 9.3 g/cm3, a radius of 167 pm, and a molar mass of 209 g/mol.

Use these data to estimate Avogadros number (the number of atoms in one mole).

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Unit Cell concept. You can view video lessons to learn Unit Cell. Or if you need more Unit Cell practice, you can also practice Unit Cell practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Savizky's class at COLUMBIA.