Answer:
[tex]V_{base}=66.7mL[/tex]
Explanation:
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In this case, since the neutralization reaction between HI and NaOH is:
[tex]NaOH+HI\rightarrow NaI+H_2O[/tex]
Thus, as there is a 1:1 mole ratio of base to acid, it is possible to use the following mole equivalence:
[tex]n_{base}=n_{acid}\\\\M_{base}V_{base}=M_{acid}V_{acid}[/tex]
Thus, by solving for the volume of base, we obtain:
[tex]V_{base}=\frac{M_{acid}V_{acid}}{M_{base}}[/tex]
Therefore, we plug in the given data to obtain:
[tex]V_{base}=\frac{0.020M*50.0mL}{0.015M}\\\\ V_{base}=66.7mL[/tex]
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