To find the new concentration of the solution after dilution, we can use the equation:
C1V1 = C2V2
Where: C1 = initial concentration of the solution V1 = initial volume of the solution C2 = final concentration of the solution V2 = final volume of the solution
Given: Initial concentration (C1) = 0.50 M Initial volume (V1) = 25.0 mL Final volume (V2) = 25.0 mL + 150.0 mL = 175.0 mL
Using the equation, we can solve for C2:
C1V1 = C2V2 (0.50 M)(25.0 mL) = C2(175.0 mL)
0.50 M * 25.0 mL = C2 * 175.0 mL 12.5 = C2 * 175.0
C2 = 12.5 / 175.0 C2 ≈ 0.0714 M
Therefore, the new concentration of the solution after dilution is approximately 0.0714 M.