Chapter 23: Q13P (page 629)

For a given value of ${[HL]}_{org}$ in Equation 23-13, over what pH range (how many pH units) will D change from if n = 2?

Short Answer

Expert verified

$∆ pH = 2$

Step by step solution

Given Information:

Distribution change pH value for D =0.01 to 100 as n = 2

To Find the[HL]org :

For distribution of metal-chelate complex between phases is

$D = \frac{K_{M} {βK}_{a}^{n}}{K_{L}^{n}} \frac{{[HL]}_{org}^{n}}{{[H^{+}]}_{aq}^{n}}$

${ML}_{n}$ is the form extracted into organic solvent

For distribution coefficients as localid="1654772730303" $D_{1} = 0.01$

$0.01 = \frac{K_{M} {βK}_{a}^{n}}{K_{L}^{n}} \frac{{[HL]}_{org}^{n}}{{[H^{+}]}_{aq}^{n}} As D_{2} = 100 100 = \frac{K_{M} {βK}_{a}^{n}}{K_{L}^{n}} \frac{{[HL]}_{org}^{n}}{{[H^{+}]}_{aq}^{n}} \frac{D_{2}}{D_{1}} = \frac{\frac{K_{M} {βK}_{a}^{n}}{K_{L}^{n}} \frac{{[HL]}_{org}^{n}}{{[H^{+}]}_{2}^{n}}}{\frac{K_{M} {βK}_{a}^{n}}{K_{L}^{n}} \frac{{[HL]}_{org}^{n}}{{[H^{+}]}_{1}^{n}}}$

For n = 2 in the equation and to eliminate the values to simplify the equation

$\frac{D_{2}}{D_{1}} = \frac{\frac{K_{M} {βK}_{a}^{n}}{K_{L}^{n}} \frac{{[HL]}_{org}^{n}}{{[H^{+}]}_{2}^{2}}}{\frac{K_{M} {βK}_{a}^{n}}{K_{L}^{n}} \frac{{[HL]}_{org}^{n}}{{[H^{+}]}_{1}^{2}}} \frac{D_{2}}{D_{1}} = {(\frac{{[H^{+}]}_{1}}{{[H^{+}]}_{2}})}^{2} \frac{100}{0.01} = {(\frac{{[H^{+}]}_{1}}{{[H^{+}]}_{2}})}^{2} \sqrt{10^{4}} = (\frac{{[H^{+}]}_{1}}{{[H^{+}]}_{2}}) 10^{2} = (\frac{{[H^{+}]}_{1}}{{[H^{+}]}_{2}})$

To calculate △pH

$△ pH = - \log (\frac{{[H^{+}]}_{1}}{{[H^{+}]}_{2}}) △ pH = - \log (10^{2}) △ pH = 2$

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For a given value of ${[HL]}_{org}$ in Equation 23-13, over what pH range (how many pH units) will D change from if n = 2?

Short Answer

Step by step solution

Given Information:

To Find the[HL]org :

To calculate △pH

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For a given value of [HL]orgin Equation 23-13, over what pH range (how many pH units) will D change from if n = 2?

Short Answer

Step by step solution

Given Information:

To Find the[HL]org :

To calculate △pH

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Physical Chemistry

Kinetics

Chemical Reactions

Chemical Analysis

Ionic and Molecular Compounds

Inorganic Chemistry

Study anywhere. Anytime. Across all devices.

For a given value of ${[HL]}_{org}$ in Equation 23-13, over what pH range (how many pH units) will D change from if n = 2?