Podstawy chemii nieorganicznej
Temat ćwiczenia: Roztwory buforowe
Doświadczenie 1.
Wyznaczanie pojemności buforowej roztworu buforowego (HA/A-;BOH/B+)
Stężenia roztworów używanych w doświadczeniu
C0CH3COOH= 0,20 mol/dm3 C0CH3COONa= 0,20 mol/dm3
C0NH3*H2O= 0,20 mol/dm3 C0NH4Cl =0,20 mol/dm3
C0HCl = 0,25 mol/dm3 C0NaOH = 0,25 mol/dm3
pKa=4,75
pKb=4,76
pKw=14,00
Pomiar pojemności buforowej w stosunku do HCl:
Lp | VHCL | nHCL | Vr-r | Ca | Cs | pHobl | pHpom |
---|---|---|---|---|---|---|---|
[cm3] | [mmol] | [cm3] | [mol/dm3] | [mol/dm3] | |||
0 | 0 | 0 | 20 | 0, 1 |
0, 1 |
4, 75 |
4,761 |
1 | 1 | 0,25 | 21 | 0, 1071 |
0, 0833 |
4, 64 |
4,672 |
2 | 2 | 0,5 | 22 | 0, 1136 |
0, 0682 |
4, 53 |
4,588 |
3 | 3 | 0,75 | 23 | 0, 1196 |
0, 0543 |
4, 41 |
4,482 |
4 | 4 | 1 | 24 | 0, 1250 |
0, 0417 |
4, 27 |
4,436 |
5 | 5 | 1,25 | 25 | 0, 1300 |
0, 0300 |
4, 11 |
4,370 |
6 | 6 | 1,5 | 26 | 0, 1346 |
0, 0192 |
3, 9 |
4,233 |
7 | 7 | 1,75 | 27 | 0, 1389 |
0, 0093 |
3, 57 |
4,111 |
8 | 8 | 2 | 28 | 0, 1429 |
0 |
2, 80 |
3,985 |
9 | 9 | 2,25 | 29 | 0, 1466 |
0 | 2, 79 |
3,821 |
10 | 10 | 2,5 | 30 | 0, 1500 |
0 | 2, 78 |
3,588 |
Wzory oraz przykładowe obliczenia
nHCl= CHCl*VHCl
Lp | [mmol] |
---|---|
0 | nHCl=0,25 mol/dm3 * 0 dm3= 0 |
1 | nHCl=0,25 mol/dm3 * 0,001 dm3= 0,25 |
2 | nHCl=0,25 mol/dm3 * 0,002 dm3= 0,5 |
3 | nHCl=0,25 mol/dm3 * 0,003 dm3= 0,75 |
4 | nHCl=0,25 mol/dm3 * 0,004 dm3= 1 |
5 | nHCl=0,25 mol/dm3 * 0,005 dm3= 1,25 |
6 | nHCl=0,25 mol/dm3 * 0,006 dm3= 1,5 |
7 | nHCl=0,25 mol/dm3 * 0,007 dm3= 1,75 |
8 | nHCl=0,25 mol/dm3 * 0,008 dm3= 2 |
9 | nHCl=0,25 mol/dm3 * 0,009 dm3= 2,25 |
10 | nHCl=0,25 mol/dm3 * 0,01 dm3= 2,5 |
Ca
Lp | [mol/dm3] |
---|---|
0 | $$C_{a} = \frac{0,2\ \text{mol}/\text{dm}^{3}*0,01\ \text{dm}^{3}}{0,02\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1}$$ |
1 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 0,25*10^{- 3}\ \text{mol}}{0,021\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1071}$$ |
2 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 0,50*10^{- 3}\ \text{mol}}{0,022\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1136}$$ |
3 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 0,75*10^{- 3}\ \text{mol}}{0,023\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1196}$$ |
4 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 1,00*10^{- 3}\ \text{mol}}{0,024\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1250}$$ |
5 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 1,25*10^{- 3}\ \text{mol}}{0,025\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1300}$$ |
6 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 1,5*10^{- 3}\ \text{mol}}{0,026\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1346}$$ |
7 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 1,75*10^{- 3}\ \text{mol}}{0,027\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1389}$$ |
8 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 2,00*10^{- 3}\ \text{mol}}{0,028\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1429}$$ |
9 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 2,25*10^{- 3}\ \text{mol}}{0,029\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1466}$$ |
10 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 2,50*10^{- 3}\ \text{mol}}{0,03\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1500}$$ |
CS
Lp | [mol/dm3] |
---|---|
0 | $$C_{s} = \frac{0,2\ \text{mol}/\text{dm}^{3}*0,01\ \text{dm}^{3}}{0,02\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{1}$$ |
1 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 0,25*10^{- 3}\ \text{mol}}{0,021\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{0833}$$ |
2 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 0,50*10^{- 3}\ \text{mol}}{0,022\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{0682}$$ |
3 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 0,75*10^{- 3}\ \text{mol}}{0,023\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{0543}$$ |
4 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 1,00*10^{- 3}\ \text{mol}}{0,024\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{0417}$$ |
5 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 1,25*10^{- 3}\ \text{mol}}{0,025\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{0300}$$ |
6 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 1,5*10^{- 3}\ \text{mol}}{0,026\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{0192}$$ |
7 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 1,75*10^{- 3}\ \text{mol}}{0,027\ \text{dm}^{3}} = \mathbf{0}\mathbf{,}\mathbf{0093}$$ |
8 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 2,00*10^{- 3}\ \text{mol}}{0,028\ \text{dm}^{3}} = \mathbf{0}$$ |
9 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 2,25*10^{- 3}\ \text{mol}}{0,029\ \text{dm}^{3}}$$ |
10 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 2,50*10^{- 3}\ \text{mol}}{0,03\ \text{dm}^{3}}$$ |
pHobl
Lp | |
---|---|
0 | $$- \log\left( 10^{- 4,75}*\frac{0,1\ mol/\text{dm}^{3}}{0,1\ mol/\text{dm}^{3}} \right) = \mathbf{4,75}$$ |
1 | $$- \log\left( 10^{- 4,75}*\frac{0,1071\ mol/\text{dm}^{3}}{0,0833\ mol/\text{dm}^{3}} \right) = \mathbf{4,64}$$ |
2 | $$- \log\left( 10^{- 4,75}*\frac{0,1136\ mol/\text{dm}^{3}}{0,0682\ mol/\text{dm}^{3}} \right) = \mathbf{4,53}$$ |
3 | $$- \log\left( 10^{- 4,75}*\frac{0,1196\ mol/\text{dm}^{3}}{0,0543\ mol/\text{dm}^{3}} \right) = \mathbf{4,41}$$ |
4 | $$- \log\left( 10^{- 4,75}*\frac{0,1250\ mol/\text{dm}^{3}}{0,0417\ mol/\text{dm}^{3}} \right) = \mathbf{4,27}$$ |
5 | $$- \log\left( 10^{- 4,75}*\frac{0,1300\ mol/\text{dm}^{3}}{0,0300\ mol/\text{dm}^{3}} \right) = \mathbf{4,11}$$ |
6 | $$- \log\left( 10^{- 4,75}*\frac{0,1346\ mol/\text{dm}^{3}}{0,0192\ mol/\text{dm}^{3}} \right) = \mathbf{3,9}$$ |
7 | $$- \log\left( 10^{- 4,75}*\frac{0,1389\ mol/\text{dm}^{3}}{0,0093\ mol/\text{dm}^{3}} \right) = \mathbf{3,57}$$ |
8 | $$- \log\left( \sqrt{10^{- 4,75}*0,1429\ mol/\text{dm}^{3}} \right) = \mathbf{2,8}0$$ |
9 | $$- \log\left( \sqrt{10^{- 4,75}*0,1466\ mol/\text{dm}^{3}} \right) = \mathbf{2,79}$$ |
10 | $$- \log\left( \sqrt{10^{- 4,75}*0,1500\ mol/\text{dm}^{3}} \right) = \mathbf{2,78}$$ |
Pomiar pojemności buforowej w stosunku do NaOH:
Lp | VNAOH | nNAOH | Vr-r | Ca (Cb) | Cs | pHobl | pHpom |
---|---|---|---|---|---|---|---|
[cm3] | [mmol] | [cm3] | [mol/dm3] | [mol/dm3] | |||
0 | 0 | 0 | 20,0 | 0, 1 |
0, 1 |
4,75 | 4,723 |
1 | 1 | 0,25 | 21,0 | 0, 0833 |
0, 1071 |
4,86 | 4,839 |
2 | 2 | 0,5 | 22,0 | 0, 0682 |
0, 1136 |
4,97 | 4,956 |
3 | 3 | 0,75 | 23,0 | 0, 0543 |
0, 1196 |
5,09 | 5,085 |
4 | 4 | 1 | 24,0 | 0, 0417 |
0, 1250 |
5,23 | 5,231 |
5 | 5 | 1,25 | 25,0 | 0, 0300 |
0, 1300 |
5,39 | 5,410 |
6 | 6 | 1,5 | 26,0 | 0, 0192 |
0, 1346 |
5,60 | 5,654 |
7 | 7 | 1,75 | 27,0 | 0, 0093 |
0, 1389 |
5,93 | 6,185 |
8 | 8 | 2 | 28,0 | 0 |
0, 1429 |
8,95 | 11,293 |
Wzory oraz przykładowe obliczenia
nNaOH= CNaOH*VNaOH
Lp | [mmol] |
---|---|
0 | nNaOH=0,25 mol/dm3 * 0 dm3= 0 |
1 | nNaOH=0,25 mol/dm3 * 0,001 dm3= 0,25 |
2 | nNaOH=0,25 mol/dm3 * 0,002 dm3= 0,5 |
3 | nNaOH=0,25 mol/dm3 * 0,003 dm3= 0,75 |
4 | nNaOH=0,25 mol/dm3 * 0,004 dm3= 1 |
5 | nNaOH=0,25 mol/dm3 * 0,005 dm3= 1,25 |
6 | nNaOH=0,25 mol/dm3 * 0,006 dm3= 1,5 |
7 | nNaOH=0,25 mol/dm3 * 0,007 dm3= 1,75 |
8 | nNaOH=0,25 mol/dm3 * 0,008 dm3= 2 |
Ca
Lp | [mol/dm3] |
---|---|
0 | $$\text{\ \ \ \ \ C}_{a} = \frac{0,2\ mol/\text{dm}^{3}*0,01\ \text{dm}^{3}}{0,02\ \text{dm}^{3}} = \mathbf{0,1}$$ |
1 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 0,25*10^{- 3}\text{\ mol}}{0,021\ \text{dm}^{3}} = \mathbf{0,0833}$$ |
2 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 0,50*10^{- 3}\text{\ mol}}{0,022\ \text{dm}^{3}} = \mathbf{0,0682}$$ |
3 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 0,75*10^{- 3}\text{\ mol}}{0,023\ \text{dm}^{3}} = \mathbf{0,0543}$$ |
4 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 1,00*10^{- 3}\text{\ mol}}{0,024\ \text{dm}^{3}} = \mathbf{0,0417}$$ |
5 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 1,25*10^{- 3}\text{\ mol}}{0,025\ \text{dm}^{3}} = \mathbf{0,0300}$$ |
6 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 1,5*10^{- 3}\text{\ mol}}{0,026\ \text{dm}^{3}} = \mathbf{0,0192}$$ |
7 | $$C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 1,75*10^{- 3}\text{\ mol}}{0,027\ \text{dm}^{3}} = \mathbf{0,0093}$$ |
8 | $$\text{\ \ \ }C_{a} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) - 2,00*10^{- 3}\text{\ mol}}{0,028\ \text{dm}^{3}} = \mathbf{0}$$ |
CS
Lp | [mol/dm3] |
---|---|
0 | $$C_{s} = \frac{0,2\ mol/\text{dm}^{3}*0,01\ \text{dm}^{3}}{0,02\ \text{dm}^{3}} = \mathbf{0,1}$$ |
1 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 0,25*10^{- 3}\text{\ mol}}{0,021\ \text{dm}^{3}} = \mathbf{0,1071}$$ |
2 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 0,50*10^{- 3}\text{\ mol}}{0,022\ \text{dm}^{3}} = \mathbf{0,1136}$$ |
3 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 0,75*10^{- 3}\text{\ mol}}{0,023\ \text{dm}^{3}} = \mathbf{0,1196}$$ |
4 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 1,00*10^{- 3}\text{\ mol}}{0,024\ \text{dm}^{3}} = \mathbf{0,1250}$$ |
5 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 1,25*10^{- 3}\text{\ mol}}{0,025\ \text{dm}^{3}} = \mathbf{0,1300}$$ |
6 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 1,5*10^{- 3}\text{\ mol}}{0,026\ \text{dm}^{3}} = \mathbf{0,1346}$$ |
7 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 1,75*10^{- 3}\text{\ mol}}{0,027\ \text{dm}^{3}} = \mathbf{0,1389}$$ |
8 | $$C_{s} = \frac{\left( 0,2\frac{\text{mol}}{\text{dm}^{3}}*0,01\ \text{dm}^{3} \right) + 2,00*10^{- 3}\text{\ mol}}{0,028\ \text{dm}^{3}} = \mathbf{0,1429}$$ |
pHobl
Lp | |
---|---|
0 | $$- \log\left( 10^{- 4,75}*\frac{0,1\ mol/\text{dm}^{3}}{0,1\ mol/\text{dm}^{3}} \right) = \mathbf{4,75}$$ |
1 | $$- \log\left( 10^{- 4,75}*\frac{0,0833\ mol/\text{dm}^{3}}{0,1071\ mol/\text{dm}^{3}} \right) = \mathbf{4,86}$$ |
2 | $$- \log\left( 10^{- 4,75}*\frac{0,0682\ mol/\text{dm}^{3}}{0,1136\ mol/\text{dm}^{3}} \right) = \mathbf{4,97}$$ |
3 | $$- \log\left( 10^{- 4,75}*\frac{0,0543\ mol/\text{dm}^{3}}{0,11963\ mol/\text{dm}^{3}} \right) = \mathbf{5,09}$$ |
4 | $$- \log\left( 10^{- 4,75}*\frac{0,0417\ mol/\text{dm}^{3}}{0,1250\ mol/\text{dm}^{3}} \right) = \mathbf{5,23}$$ |
5 | $$- \log\left( 10^{- 4,75}*\frac{0,0300\ mol/\text{dm}^{3}}{0,1300\ mol/\text{dm}^{3}} \right) = \mathbf{5,39}$$ |
6 | $$- \log\left( 10^{- 4,75}*\frac{0,0192\ mol/\text{dm}^{3}}{0,1346\ mol/\text{dm}^{3}} \right) = \mathbf{5,60}$$ |
7 | $$- \log\left( 10^{- 4,75}*\frac{0,0093\ mol/\text{dm}^{3}}{0,1389\ mol/\text{dm}^{3}} \right) = \mathbf{5,93}$$ |
8 |
|
Zależność pH roztworu buforowego od objętości dodanego
HCl / NaOH:
Obliczenie pojemności buforowej
a) w stosunku do HCl:
b) w stosunku do NaOH: