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Answer :
Rounding to three significant digits, the final volume of the solution would be 85.5 mL.
To dilute the 62.6 mL of 1.37 M sodium carbonate (Na₂CO₃) solution to a concentration of 1.00 M, you will need to add distilled water. The final volume of the solution can be calculated using the equation:
M₁V₁ = M₂V₂
Where:
M₁ is the initial concentration of the solution (1.37 M)
V₁ is the initial volume of the solution (62.6 mL)
M₂ is the final concentration of the solution (1.00 M)
V₂ is the final volume of the solution (which we need to find)
To solve for V₂, we can rearrange the equation:
V₂ = (M₁V₁) / M₂
Plugging in the values, we have:
V₂ = (1.37 M * 62.6 mL) / 1.00 M
Calculating this, we get:
V₂ = 85.462 mL
Rounding to three significant digits, the final volume of the solution would be 85.5 mL.
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