<u>Answer:</u> The concentration of chlorate ion is 0.467 M
<u>Explanation:</u>
To calculate the number of moles for given molarity, we use the equation:
.....(1)
- <u>For
:</u>
Molarity of
solution = 0.393 M
Volume of solution = 925 mL = 0.925 L (Conversion factor: 1 L = 1000 mL)
Putting values in equation 1, we get:
![0.393M=\frac{\text{Moles of }AgClO_3}{0.925L}\\\\\text{Moles of }AgClO_3=(0.393mol/L\times 0.925L)=0.364mol](https://tex.z-dn.net/?f=0.393M%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20%7DAgClO_3%7D%7B0.925L%7D%5C%5C%5C%5C%5Ctext%7BMoles%20of%20%7DAgClO_3%3D%280.393mol%2FL%5Ctimes%200.925L%29%3D0.364mol)
- <u>For
:</u>
Molarity of
solution = 0.283 M
Volume of solution = 685 mL = 0.685 L
Putting values in equation 1, we get:
![0.283M=\frac{\text{Moles of }Mg(ClO_3)_2}{0.685L}\\\\\text{Moles of }Mg(ClO_3)_2=(0.283mol/L\times 0.685L)=0.194mol](https://tex.z-dn.net/?f=0.283M%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20%7DMg%28ClO_3%29_2%7D%7B0.685L%7D%5C%5C%5C%5C%5Ctext%7BMoles%20of%20%7DMg%28ClO_3%29_2%3D%280.283mol%2FL%5Ctimes%200.685L%29%3D0.194mol)
The chemical equation for ionization of silver chlorate follows:
1 mole of silver chlorate produces 1 mole of silver ion and 1 mole of chlorate ion
Moles of chlorate ion = 0.364 moles
The chemical equation for ionization of magnesium chlorate follows:
![Mg(ClO_3)_2\rightarrow Mg^{2+}+2ClO_3^-](https://tex.z-dn.net/?f=Mg%28ClO_3%29_2%5Crightarrow%20Mg%5E%7B2%2B%7D%2B2ClO_3%5E-)
1 mole of magnesium chlorate produces 1 mole of magnesium ion and 2 moles of chlorate ion
Moles of chlorate ion = (2 × 0.194) = 0.388 moles
- Now, calculating the molarity of chlorate ion by using equation 1, we get:
Moles of chlorate ion = (0.364 + 0.388) = 0.752 moles
Volume of solution = (925 + 685) = 1610 mL = 1.610 L
Putting values in equation 1, we get:
0.752![\text{Molarity of chlorate ion}=\frac{0.752mol}{1.610L}\\\\\text{Molarity of chlorate ion}=0.467M](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20chlorate%20ion%7D%3D%5Cfrac%7B0.752mol%7D%7B1.610L%7D%5C%5C%5C%5C%5Ctext%7BMolarity%20of%20chlorate%20ion%7D%3D0.467M)
Hence, the concentration of chlorate ion is 0.467 M