I find it the easiest to describe 10 nm would first be to define one nanometers. Compared to one meter, a nanometer is one billionth of a meter (1/1,000,000,000). So 10 nanometers would be one hundred millionth of a meter long (1/100,000,000). For size comparison, if you line up five beach balls side by side to equal 10nm (each beach ball would equal 2 nm in length), you would need about 1/4 of the distance from the sun to the nearest star (about 3.8 light years away) to be equal to one meter.
As for the definition of a mole, one mole is equal to 6.022x10^23 of atoms/molecules. For a size comparison, if one ml of water would equal the size of an atom, you would need about two Indian oceans to equal one mole.
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