To calculate the final concentration of the KNO3 solution after mixing the two solutions, you can use the formula:
\[ M_1V_1 + M_2V_2 = M_fV_f \]
Where:
- \( M_1 \) and \( M_2 \) are the initial concentrations of the solutions
- \( V_1 \) and \( V_2 \) are the volumes of the solutions added
- \( M_f \) is the final concentration we want to find
- \( V_f \) is the total volume after mixing
Given:
- \( M_1 = 1.02 \, M \), \( V_1 = 25.6 \, mL \)
- \( M_2 = 0.875 \, M \), \( V_2 = 48.7 \, mL \)
First, calculate the total volume after mixing the solutions:
\[ V_f = V_1 + V_2 \]
Then substitute the values into the formula to find the final concentration:
\[ 1.02 \times 25.6 + 0.875 \times 48.7 = M_f \times (25.6 + 48.7) \]
\[ 26.112 + 42.5925 = M_f \times 74.3 \]
\[ 68.7045 = M_f \times 74.3 \]
\[ M_f = \frac{68.7045}{74.3} \approx 0.925 \, M \]
Therefore, the final concentration of the KNO3 solution after mixing is approximately 0.925 M.
