Chapter 11: Q70P-b (page 263)

Question:Titrating diprotic acid with strong base.
Prepare a family of graphs for the titration of 50.0 mL of 0.020 0 M H₂A with 0.100 M NaOH. Consider the following cases: (a) pK₁ = 4.00, pK₂ =8.00; (b) pK₁ = 4.00, pK₂ = 6.00; (c) pK₁ = 4.00, pK₂ = 5.00

Short Answer

Expert verified

(b) The plot of the for pK1 = 4.00, pK2 =6.00 is shown below

Step by step solution

Information given

50.0 mL of 0.020 0 M H₂A needs to be titrated with 0.100 M NaOH

. (pK₁=4.00, pK₂=6.00)

Equation need to be used to develop spreadsheet

Fromtable 11.5 the equation for the fraction of titration of diprotic acid (H₂A) with strong base (B) is as follows

$ϕ = \frac{C_{b} V_{b}}{C_{a} V_{a}} = \frac{α_{H A^{-}} + 2 α_{A^{2 -}} - \frac{[H^{+}] - [O H^{-}]}{C_{a}}}{1 + \frac{[H^{+}] - [O H^{-}]}{C_{b}}}$

Other formulas need to be used

$\begin{array}{rcl} [H^{+}] & = & 10^{- p H} \\ [O H^{-}] & = & \frac{K_{w}}{[H^{+}]} \\ [α_{H A^{-}}] & = & \frac{[H^{+}] K_{1}}{{[H^{+}]}^{2} + [H^{+}] K_{1} + K_{1} K_{2}} \\ [α_{A^{2 -}}] & = & \frac{K_{1} K_{2}}{{[H^{+}]}^{2} + [H^{+}] K_{1} + K_{1} K_{2}} \end{array}$

Spreadsheet to plot curve

Spreadsheet forpK₁=4.00, pK₂=6.00

Final plot

From the above spreadsheet the following curve was plotted

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Question:Titrating diprotic acid with strong base.
Prepare a family of graphs for the titration of 50.0 mL of 0.020 0 M H₂A with 0.100 M NaOH. Consider the following cases: (a) pK₁ = 4.00, pK₂ =8.00; (b) pK₁ = 4.00, pK₂ = 6.00; (c) pK₁ = 4.00, pK₂ = 5.00

Short Answer

Step by step solution

Information given

Equation need to be used to develop spreadsheet

Spreadsheet to plot curve

Final plot

One App. One Place for Learning.

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Question:Titrating diprotic acid with strong base.Prepare a family of graphs for the titration of 50.0 mL of 0.020 0 M H2A with 0.100 M NaOH. Consider the following cases: (a) pK1 = 4.00, pK2 =8.00; (b) pK1 = 4.00, pK2 = 6.00; (c) pK1 = 4.00, pK2 = 5.00

Short Answer

Step by step solution

Information given

Equation need to be used to develop spreadsheet

Spreadsheet to plot curve

Final plot

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Organic Chemistry

Physical Chemistry

Chemical Analysis

Chemistry Branches

Chemical Reactions

The Earths Atmosphere

Study anywhere. Anytime. Across all devices.

Question:Titrating diprotic acid with strong base.
Prepare a family of graphs for the titration of 50.0 mL of 0.020 0 M H₂A with 0.100 M NaOH. Consider the following cases: (a) pK₁ = 4.00, pK₂ =8.00; (b) pK₁ = 4.00, pK₂ = 6.00; (c) pK₁ = 4.00, pK₂ = 5.00