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What is the pH of the buffer that results when 14.0 g of NaH2PO4 and 7.84 g of Na2HPO4 are diluted with water to a volume of

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Answer #1

Number of moles of NaH2PO​4=mass/molar mass

=14.0 g/120.0 g/mol

Concentration of NaH2PO​4=number of moles/volume of solution (L)

=(14.0 g/120.0 g/mol)/0.940 L

Number of moles of Na2HPO​4=mass/molar mass

=7.84 g/142.0 g/mol

Concentration of Na2HPO​​4=number of moles/volume of solution (L)

=(7.84 g/142.0 g)/0.940 L

Ka of H2PO4​​​​-=6.2 x 10-8

pKa=7.21

As per the henderson-hasselbalch equation pH of an acidic buffer is given as

pH=pKa+log[conjugate base]/[weak acid]

Where pKa=-logKa (Ka=acid dissociation constant)

=7.21 in this case

[Conjugate base]=concentration of conjugate base

=Concentration of Na2HPO​4 in this case

[Weak acid]=Concentration of weak acid

=Concentration of NaH2PO​4 in this case

Substitute the values in henderson-hasselbalch equation

pH=7.21+(7.84 g/142 g/mol)/0.984 L (14.0 g/120 g/mol)/0.984 L

=7.21 + (7.84 g/142 g/mol) (14.0g/120 g/mol)

=7.21+log(0.47)

=7.21-0.33=6.88

So pH of the resulting buffer=6.88 which is the last option

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