Multiple choice

When $3$ L of $0.5$ $M$ $\displaystyle NaCl$ is mixed with $9$ L of $0.2777$ $M$ $\displaystyle NaCl$, determine the concentration of the final solution, assuming that volumes are additive?

  1. $0.33$ $M$
  2. $0.39$ $M$
  3. $0.5777$ $M$
  4. $0.7777$ $M$

  5. None of the above
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A Correct answer
Explanation

Total moles = (3 * 0.5) + (9 * 0.2777) = 1.5 + 2.4993 = 3.9993. Total volume = 3 + 9 = 12 L. Concentration = 3.9993 / 12 = 0.333275 M, which is approximately 0.33 M.

AI explanation

To find the concentration of the final mixture, use the formula C equals (C1V1 plus C2V2) divided by (V1 plus V2). Substituting the values gives (3 times 0.5 plus 9 times 0.2777) divided by (3 plus 9). This equals (1.5 plus 2.4993) divided by 12, which results in a final concentration of 0.33 M.

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