The first step to answer this question is to find the number of moles of Ca(NO3)2 that contain 2.50x10^-2 moles of nitrate ion. According to the chemical formula of Ca(NO3)2, there are 2 moles of nitrate ions per mol of Ca(NO3)2:
![2.50*10^(-2)molNO_3^-\cdot(1molCa(NO_3)_2)/(2molNO_3^-)=1.25*10^(-2)molCa(NO_3)_2](https://img.qammunity.org/2023/formulas/chemistry/high-school/2ilmhgdq0iflkiuii1wdeqaau2d9xlvvqe.png)
The next step is to use the concentration of the Ca(NO3)2 solution to find the volume that contains this number of moles:
![1.25*10^(-2)molCa(NO_3)_2\cdot(1L)/(5.00*10^(-2)molCa(NO_3)_2)=0.25L](https://img.qammunity.org/2023/formulas/chemistry/high-school/d77kvtewf1ond5hgm7o991qd3w0mhsfj2c.png)
Finally, convert this volume to mL:
![0.25L\cdot(1000mL)/(L)=250mL](https://img.qammunity.org/2023/formulas/chemistry/high-school/58urty5pfzv5wzzjzsx6nz22x513flydhe.png)
It means that the correct answer is b. 250mL.