Answer :
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Final answer:
The volume of a 0.350 M solution of sodium hydroxide made using 13.8 g of sodium hydroxide is 193 mL.
Explanation:
To calculate the volume of a solution, we can use the formula:
Volume (in liters) = mass (in grams) / molar mass (in grams per mole) / concentration (in moles per liter).
In this case, we are given the mass of sodium hydroxide (13.8 g) and the concentration of the solution (0.350 M). We need to find the volume of the solution.
The molar mass of sodium hydroxide (NaOH) is 22.99 g/mol for sodium, 16.00 g/mol for oxygen, and 1.01 g/mol for hydrogen. Therefore, the molar mass of NaOH is 22.99 + 16.00 + 1.01 = 40.00 g/mol.
Substituting the values into the formula:
Volume = 13.8 g / 40.00 g/mol / 0.350 mol/L
Volume = 0.393 L = 193 mL
Therefore, the volume of a 0.350 M solution of sodium hydroxide made using 13.8 g of sodium hydroxide is 193 mL.
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