All 7 Uses

acquit
in
Great Expectations
(Edited)

For such reasons, I was very glad when ten o'clock came and we started for Miss Havisham's; though I was not at all at my ease regarding the manner in which I should acquit myself under that lady's roof.
p. 56.7 *

acquit = handle (conduct or behave)
A score or so of years ago, that woman was tried at the Old Bailey for murder, and was acquitted.
p. 416.4

acquitted = officially found "not guilty"
But she was acquitted.
p. 416.5
"Yes; but not only that," said Wemmick, "she went into his service immediately after her acquittal, tamed as she is now."
p. 418.4 *

acquittal = official finding of "not guilty"
No; she was acquitted.
p. 431.5

acquitted = officially found "not guilty"
This acquitted young woman and Provis had a little child; a little child of whom Provis was exceedingly fond.
p. 431.6
After the acquittal she disappeared, and thus he lost the child and the child's mother.
p. 432.4

acquittal = official finding of "not guilty"

Definitions:

(1) (acquit as in: she was acquitted)
to officially find "not guilty" of criminal charges

Being acquitted does not mean the court declared the person innocent. It simply means there was not enough evidence to prove guilt according to the law.

The amount of evidence required depends on the type of case. In a criminal case, where someone could go to prison, the prosecution must prove guilt beyond a reasonable doubt—a very high standard. In a civil case, a lawsuit usually about money, the plaintiff only needs to show that the defendant is responsible more likely than not—a much lower standard.

This is why the same person can be found "not guilty" in a criminal trial (their guilt was not proved beyond a reasonable doubt) but still be found guilty in a civil trial for the same actions (because their guilt was more likely than not).
(2) (acquit as in: she acquitted herself well)
to handle oneself in a specified way -- which is typically in a positive way
(3) (meaning too rare to warrant focus)
Much less commonly and archaically, acquit can have other meanings. It can mean to release from a duty, as when Jane Austen wrote "I cannot acquit him of that duty" in her novel, Pride and Prejudice.

It can also mean to perform or complete an obligation, as when Charles Dickens wrote "I have a business charge to acquit myself of," in his novel, A Tale of Two Cities.