To what volume must 557 mL of 11 M
Ca(OH)2 solution be diluted to make a 4 M
Ca(OH)2 solution?
1. 1.90775
2. 2.9575
3. the correct answer is not given
4. 1.53175 L
5. 1.84067

The answer to your question is the number 4. 1.53175 L

Explanation:

Data

Volume 1 = V1 = 557 ml

Concentration 1 = C1 = 11 M

Volume 2 = V2 = ?

Concentration 2 = C2 = 4 M

Formula

            Volume 1 x Concentration 1 = Volume 2 x Concentration 2

or                                           V1 x C1 = V2 x C2

Solve for V2                                 V2 = V1 x C1 / C2

-Substitution

                                                     V2 = (557)(11) / 4

-Simplification

                                                     V2 = 6127 / 4

-Result

                                                     V2 = 1531.75 ml or 1.53175 L

Conclusion

557 ml of 11 M must be diluted to 1.53175 L