in the hope of something

Từ điển Oxford Advanced Learner 8th

in the hope of sth | in the hope that… idiom
(NAmE also in hopes that…)because you want sth to happen
•I called early in the hope of catching her before she went to work.
•He asked her again in the vain hope that he could persuade her to come (= it was impossible).
Main entry: ↑hope_idiom