Final answer:
To neutralize 1.98 mL of an unspecified concentration of HNO₃, assuming it's 0.125M as indicated in the provided examples, you would need 49.5 µL of 5.0M NaOH, based on the 1:1 reaction stoichiometry between acid and base.
Step-by-step explanation:
To determine the volume of 5.0M NaOH needed to neutralize the solution containing the excess HNO3, we first need to consider the reaction between NaOH and HNO3, which is a typical acid-base neutralization reaction:
NaOH(aq) + HNO3(aq) → NaNO3(aq) + H2O(l)
Since this is a 1:1 reaction, the moles of NaOH needed will equal the moles of HNO3 present. Firstly, we convert the volume of HNO3 used to moles, using the relationship:
Molarity (M) = Moles/Vol(L)
1.98 mL is equivalent to 0.00198 L. If the initial concentration of HNO3 is not provided and assuming it is the same as the example given, which uses 0.125 M HNO3, we calculate the moles of HNO3:
Moles of HNO3 = 0.125 M × 0.00198 L = 0.0002475 mol
Then, to find the volume of the 5.0M NaOH needed to neutralize this amount of acid:
Vol(L) = Moles/Molarity
Vol(NaOH) = 0.0002475 mol / 5.0 M = 0.0000495 L or 49.5 µL
Therefore, 49.5 µL of 5.0M NaOH would be required to neutralize 1.98 mL of 0.125M HNO3.