The first step to solve this question is to state the neutralization reaction between KOH and HClO:
![KOH+HClO\rightarrow KClO+H_2O](https://img.qammunity.org/2023/formulas/chemistry/college/4r2m7uej0k9rk9kayefrl3rzcahrn6kbud.png)
Now, find the amount of moles of HClO present in 50mL of 0.170M HClO:
![50.0mL\cdot(1L)/(1000mL)\cdot(0.170mol)/(L)=0.0085mol](https://img.qammunity.org/2023/formulas/chemistry/college/uzrh1ieo46q5dl1el3c6ll5b4uo69dakpx.png)
According to the equation, 1 mole of KOH reacts with 1 mole of HClO. Use this ratio to find the amount of moles of KOH that react with 0.0085moles of HClO:
![0.0085molHClO\cdot(1molKOH)/(1molHClO)=0.0085molKOH](https://img.qammunity.org/2023/formulas/chemistry/college/fu5brxizd8d172mopo4g09w3oxj9qncz6q.png)
Multiply this amount of moles of KOH by the inverse of its conversation:
![0.0085molKOH\cdot(1L)/(0.170molKOH)=0.05L](https://img.qammunity.org/2023/formulas/chemistry/college/3n1gp7acc9ep477xbov6p6qlqw8nlefi5k.png)
It means that 0.05L of 0.170M KOH are needed to neutralize 50mL of 0.170M HClO.