This is the 420th most frequent Polish word.
sprawiedliwości
"Justice" or "fairness."
The word "sprawiedliwości" denotes the abstract noun "justice" in this sentence, attributing an overarching principle to the role of the law.
Prawo musi działać na rzecz sprawiedliwości.
The law must serve justice.
The word "sprawiedliwości" here refers to the goal or pursuit of achieving fairness and ethical treatment within a community.
Dążyła do sprawiedliwości w swojej społeczności.
She strived for justice in her community.
In this example, "sprawiedliwości" conveys the concept and value that the judicial system is designed to uphold and safeguard.