The gist of the communicate accessible (sorry, there are too many pages to grant each and all the links) is that wands help to concentration the magic resident interior the witch or wizard, yet wandless magic continues to be achievable, quite for terribly proficient human beings like Snape and Dumbledore. some examples ... Apparition Assuming one's Animagus type (or Metamorphpagus) Accio (the Summoning attraction) Elves can do magic without making use of wands Lumos
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Your question got cut off. Here is the relevant calculation:
0.0111 mol times 6.022 x 10^23 molecules / mol = 6.68 x 10^21 molecules
The gist of the communicate accessible (sorry, there are too many pages to grant each and all the links) is that wands help to concentration the magic resident interior the witch or wizard, yet wandless magic continues to be achievable, quite for terribly proficient human beings like Snape and Dumbledore. some examples ... Apparition Assuming one's Animagus type (or Metamorphpagus) Accio (the Summoning attraction) Elves can do magic without making use of wands Lumos