Final answer:
The volume of a 0.540 M NaOH solution that contains 12.5 g of NaOH is 0.578 L.
Step-by-step explanation:
To find the volume of a 0.540 M NaOH solution that contains 12.5 g of NaOH, you can use the formula:
Molarity (M) = Moles of solute / Volume of solution (L)
First, convert the mass of NaOH to moles using the molar mass of NaOH:
Molar mass of NaOH = 22.99 g/mol + 16.00 g/mol + 1.01 g/mol = 40.00 g/mol
Moles of NaOH = 12.5 g / 40.00 g/mol = 0.3125 mol
Next, rearrange the formula to solve for the volume of the solution:
Volume of solution (L) = Moles of solute / Molarity
Volume of solution = 0.3125 mol / 0.540 M = 0.578 L
Therefore, the volume of a 0.540 M NaOH solution that contains 12.5 g of NaOH is 0.578 L.