Final answer:
The concentration of the sodium hydroxide solution is calculated by using the titration formula and adjusting for the 1:3 stoichiometry with phosphoric acid. The calculated concentration of sodium hydroxide is 0.534 M.
Step-by-step explanation:
To calculate the concentration of the sodium hydroxide solution, we use the titration formula:
nbase = nacid
Where n is the number of moles, which is calculated by multiplying concentration (C) by volume (V). Phosphoric acid has a reaction stoichiometry of 1:3 with sodium hydroxide, so we need to adjust the equation accordingly:
CNaOH × VNaOH = 3 × (CH3PO4 × VH3PO4)
Plugging in the values:
CNaOH × 0.0240 L = 3 × (0.220 M × 0.194 L)
Solving for CNaOH, we get:
CNaOH = (3 × 0.220 M × 0.194 L) / 0.0240 L
CNaOH = 0.534 M
Hence, the concentration of the sodium hydroxide solution is 0.534 M.