Math  /  Algebra

Question1. What is hydrodynamic voltammetry? State two (2) applications of voltammetry.
2. What is the potential of a cell consisting of a silver electrode dipped in silver nitrate solution with [Ag+]=0.01M[\mathrm{Ag}+]=0.01 \mathrm{M} and a standard calomel reference electrode (Eref=+0.242\left(\mathrm{E}_{\mathrm{ref}}=+0.242\right. V). Neglect liquid-junction potential.
3. Briefly describe a simple electrochemical cell used in potentiometric analysis. Write a cell diagram for this cell.
4. Calculate the ionic strengths of the following solutions A) 0.20 M NaCl and 0.30MNa2SO40.30 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4} B) 0.1MK2Cr2O70.1 \mathrm{M} \mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}

Studdy Solution
Calculate the ionic strengths of the given solutions.
A) For 0.20MNaCl0.20 \, \text{M} \, \text{NaCl} and 0.30MNa2SO40.30 \, \text{M} \, \text{Na}_2\text{SO}_4:
The ionic strength I I is given by:
I=12cizi2 I = \frac{1}{2} \sum c_i z_i^2
For NaCl: - cNa+=0.20M c_{\text{Na}^+} = 0.20 \, \text{M} , zNa+=+1 z_{\text{Na}^+} = +1 - cCl=0.20M c_{\text{Cl}^-} = 0.20 \, \text{M} , zCl=1 z_{\text{Cl}^-} = -1
INaCl=12(0.20×12+0.20×12) I_{\text{NaCl}} = \frac{1}{2} \left( 0.20 \times 1^2 + 0.20 \times 1^2 \right)
INaCl=12×0.40=0.20M I_{\text{NaCl}} = \frac{1}{2} \times 0.40 = 0.20 \, \text{M}
For Na2SO4: - cNa+=2×0.30=0.60M c_{\text{Na}^+} = 2 \times 0.30 = 0.60 \, \text{M} , zNa+=+1 z_{\text{Na}^+} = +1 - cSO42=0.30M c_{\text{SO}_4^{2-}} = 0.30 \, \text{M} , zSO42=2 z_{\text{SO}_4^{2-}} = -2
INa2SO4=12(0.60×12+0.30×22) I_{\text{Na}_2\text{SO}_4} = \frac{1}{2} \left( 0.60 \times 1^2 + 0.30 \times 2^2 \right)
INa2SO4=12(0.60+1.20) I_{\text{Na}_2\text{SO}_4} = \frac{1}{2} \left( 0.60 + 1.20 \right)
INa2SO4=12×1.80=0.90M I_{\text{Na}_2\text{SO}_4} = \frac{1}{2} \times 1.80 = 0.90 \, \text{M}
Total ionic strength for the mixture:
Itotal=INaCl+INa2SO4=0.20+0.90=1.10M I_{\text{total}} = I_{\text{NaCl}} + I_{\text{Na}_2\text{SO}_4} = 0.20 + 0.90 = 1.10 \, \text{M}
B) For 0.1MK2Cr2O70.1 \, \text{M} \, \text{K}_2\text{Cr}_2\text{O}_7:
- cK+=2×0.1=0.2M c_{\text{K}^+} = 2 \times 0.1 = 0.2 \, \text{M} , zK+=+1 z_{\text{K}^+} = +1 - cCr2O72=0.1M c_{\text{Cr}_2\text{O}_7^{2-}} = 0.1 \, \text{M} , zCr2O72=2 z_{\text{Cr}_2\text{O}_7^{2-}} = -2
I=12(0.2×12+0.1×22) I = \frac{1}{2} \left( 0.2 \times 1^2 + 0.1 \times 2^2 \right)
I=12(0.2+0.4) I = \frac{1}{2} \left( 0.2 + 0.4 \right)
I=12×0.6=0.3M I = \frac{1}{2} \times 0.6 = 0.3 \, \text{M}

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