Final answer:
To find the molarity of the solution after dilution from 50.0 mL of a 1.75 M solution to 150 mL, the dilution equation M1V1 = M2V2 is used, resulting in a final molarity of 0.583 M.
Step-by-step explanation:
The question is asking to find the molarity of the solution after dilution. To calculate the molarity after dilution, you can use the formula M1V1 = M2V2, where M1 and V1 are the molarity and volume of the initial solution and M2 and V2 are the molarity and volume of the diluted solution, respectively. Given that the initial molarity (M1) is 1.75 M, the initial volume (V1) is 50.0 mL, and the final volume (V2) is 150 mL, we can solve for the final molarity (M2).
Using the dilution equation, we have:
M1V1 = M2V2
1.75 M × 50.0 mL = M2 × 150 mL
M2 = (1.75 M × 50.0 mL) / 150 mL
M2 = 87.5 mM / 150 mL
M2 = 0.583 M
Therefore, the molarity of the final solution after dilution is 0.583 M.