Molarity of concentrated nitric acid = 15.9 M
Volume of the stock solution to be prepared = 500.0 mL
Concentration of the stock that is to be prepared = 0.750 M
Calculating moles from molarity and volume of stock:
![500.0mL*(1L)/(1000mL)*0.750(mol)/(L) =0.375 mol HNO_(3)](https://img.qammunity.org/2019/formulas/chemistry/high-school/j93q4tg9tkursyjedtk3jhglkmbzdx0klb.png)
Calculating volume of concentrated nitric acid to be taken for the preparation of stock solution:
![0.375mol*(1L)/(15.9mol) =0.0236 L](https://img.qammunity.org/2019/formulas/chemistry/high-school/koze61j50wyse4xc1td1a7z1c035950o30.png)
Converting L to mL:
= 23.6 mL
Volume of distilled water to be added to 23.6 mL of 15.9 M nitric acid to get the given concentration = 5000.0mL-23.6mL=976.4 mL
Therefore, 976.4 mL distilled water is to be added to 23.6 mL of 15.9 M nitric acid solution to prepare 500.0 mL of 0.750M nitric acid.