Brittany M. answered 05/14/20
Ph.D. in Chemistry with 5+ Years of Tutoring Experience
First, we want to write the balanced equation:
H3PO4 + 3NaOH → Na3PO4 + 3H2O
Next, we want to find out how many moles of acid have been neutralized.
50mL * (1L / 1000mL) * (6 moles H3PO4 / 1L) = 0.3 moles H3PO4
Now, using the balanced equation, we can find out how many moles of NaOH are required to neutralize 0.3 moles of H3PO4 :
0.3 moles H3PO4 * (3 moles NaOH / 1 mole H3PO4) = 0.9 moles of NaOH
To get the concentration, we need to take the number of moles of NaOH that were needed to neutralize the acid and divide it by the volume of NaOH that was used for the neutralization. This will give us our concentration.
300mL = 0.3 L, so we have:
(0.9 moles NaOH) / (0.3L) = 3(moles/L) = 3M