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Answer: The volume of the new solution is 83.33 mL.
Explanation:
Given: [tex]V_{1}[/tex] = 200 mL, [tex]M_{1}[/tex] = 0.5 M
[tex]V_{2}[/tex] = ?, [tex]M_{2}[/tex] = 1.2 M
Formula used to calculate the volume of new solution is as follows.
[tex]M_{1}V_{1} = M_{2}V_{2}[/tex]
Substitute the values into above formula as follows.
[tex]M_{1}V_{1} = M_{2}V_{2}\\0.5 M \times 200 mL = 1.2 M \times V_{2}\\V_{2} = 83.33 mL[/tex]
Thus, we can conclude that volume of the new solution is 83.33 mL.