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Untitled - Kelly Walsh High School

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Buffers and Other Equilibria 243<br />

Quick Tip<br />

The K a expression is:<br />

HNO 2(aq) K H (aq) NO 2 (aq)<br />

0.150 x x x<br />

K a <br />

We can now enter the concentrations of the various substances:<br />

The next step is to find the K a from the pK a.<br />

Ka 103.35 4.4668 104 10 (unrounded)<br />

pKa Ka 4.4668 10-4 [x] [x]<br />

[HNO2 ] [0.150 x]<br />

Solving this relationship for x gives x 8.1855 10 3 M (unrounded). This is<br />

the hydrogen ion concentration, so we can use it to determine the pH:<br />

pH log [H ] log (8.1855 10 3 ) 2.08695 2.09<br />

The initial pH of this weak acid is, as expected, acidic.<br />

b. 25.00 mL This will be in the second region of the titration curve. (We usually<br />

cannot predict this by simple inspection.) To do this, and all later steps, we<br />

will require the balanced chemical equation for the reaction and the moles of<br />

each reactant.<br />

The reaction is:<br />

[x] [x]<br />

Ka <br />

[HNO2 ] [0.150 x]<br />

[H ] [NO 2 ]<br />

[H ] [NO 2 ]<br />

[H ] [NO 2 ]<br />

[HNO 2 ]<br />

HNO 2(aq) NaOH(aq) l Na (aq) NO 2 (aq) H2O(l)<br />

It is usually helpful to write the products in ionic form.

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