Difference between dispose and disperse

[Louise]

Test No. incompl/inter-51 "Cinemas", question 6

The fans outside the cinema on the first showing of the film were unwilling to ......... until all the stars had gone home.

(a) dispose
(b) displace
(c) discover
(d) disperse

Test No. incompl/inter-51 "Cinemas", answer 6

The fans outside the cinema on the first showing of the film were unwilling to disperse until all the stars had gone home.

Correct answer: (d) disperse

Your answer was: incorrect
The fans outside the cinema on the first showing of the film were unwilling to dispose until all the stars had gone home.
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Why is disperse is the good answer here and when are we suppose to use dispose?
Thank you

[Torsten]

A crowd or a group of people can disperse, that means they move in different direction and scatter.

To dispose has a different meaning. You can dispose of something, that means you deal with it. Also, dispose usually requires the preposition of.
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