According to CGEL, that-clause can function as an adjunct. The following sentence is an example from page 952 of CGEL.
He appealed to us to bring his case to the attention of the authorities that justice might be done.
But I can not find any explanation about that-clause as an adjunct. What is the semantic function used in the above example sentence?
Any explanation and example about using that-clause as adjunct is also appreciated.