There is approximately 761.56 mL of the 56.2 mEq/L solution is required to have 42.8 Eq of K⁺.
To find the volume of a solution containing a specific amount of potassium ions (K⁺), we can use the equation:
![\[ \text{Volume (mL)} = \frac{\text{Amount of K⁺ (Eq)}}{\text{Concentration (mEq/L)}} \]](https://img.qammunity.org/2024/formulas/chemistry/college/wrls6i9pgg46g96rmz6lw5xlweg9nqyo0z.png)
Given:
- Concentration of K⁺ in the solution = 56.2 mEq/L
- Amount of K⁺ needed = 42.8 Eq
Plug these values into the formula:
![\[ \text{Volume (mL)} = \frac{42.8 \, \text{Eq}}{56.2 \, \text{mEq/L}} \]](https://img.qammunity.org/2024/formulas/chemistry/college/agsq2i7qm10r4hzs77dq571qejxjzt8mvt.png)
Calculate:
![\[ \text{Volume (mL)} = (42.8)/(56.2) * 1000 \]](https://img.qammunity.org/2024/formulas/chemistry/college/s1g18rd45z865eag47zmv0xrcqkq1qzvpr.png)
![\[ \text{Volume (mL)} \approx 761.56 \, \text{mL} \]](https://img.qammunity.org/2024/formulas/chemistry/college/7n4245sit1r5a6wg9e7fnzo8ri0a2h87jg.png)
So, approximately 761.56 mL of the 56.2 mEq/L solution is needed to contain 42.8 Eq of K⁺.