Answer:
The concentration of the solution after dilution is approximately 0.386 mol/L.
Step-by-step explanation:
To determine the concentration of the solution after dilution, we can use the formula:
C1V1 = C2V2
where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.
Given:
Initial concentration (C1) = 1.50 mol/L
Initial volume (V1) = 45.0 mL = 0.045 L
Final volume (V2) = 175 mL = 0.175 L
Let's substitute these values into the formula:
(1.50 mol/L)(0.045 L) = C2(0.175 L)
0.0675 mol = C2(0.175 L)
Now, we can solve for C2:
C2 = 0.0675 mol / 0.175 L
C2 ≈ 0.386 mol/L
Thus, the concentration of the solution after dilution is approximately 0.386 mol/L.