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1
1505-1508
98 2 00 MgSO4 1 21 1 53 1
1
1506-1509
00 MgSO4 1 21 1 53 1 82 2
1
1507-1510
21 1 53 1 82 2 00 K2SO4 2
1
1508-1511
53 1 82 2 00 K2SO4 2 32 2
1
1509-1512
82 2 00 K2SO4 2 32 2 70 2
1
1510-1513
00 K2SO4 2 32 2 70 2 84 3
1
1511-1514
32 2 70 2 84 3 00 * represent i values for incomplete dissociation
1
1512-1515
70 2 84 3 00 * represent i values for incomplete dissociation Table 1
1
1513-1516
84 3 00 * represent i values for incomplete dissociation Table 1 4: Values of van’t Hoff factor, i, at Various Concentrations for NaCl, KCl, MgSO4 and K2SO4
1
1514-1517
00 * represent i values for incomplete dissociation Table 1 4: Values of van’t Hoff factor, i, at Various Concentrations for NaCl, KCl, MgSO4 and K2SO4 Rationalised 2023-24 26 Chemistry Example 1
1
1515-1518
Table 1 4: Values of van’t Hoff factor, i, at Various Concentrations for NaCl, KCl, MgSO4 and K2SO4 Rationalised 2023-24 26 Chemistry Example 1 13 Example 1
1
1516-1519
4: Values of van’t Hoff factor, i, at Various Concentrations for NaCl, KCl, MgSO4 and K2SO4 Rationalised 2023-24 26 Chemistry Example 1 13 Example 1 13 Example 1
1
1517-1520
Rationalised 2023-24 26 Chemistry Example 1 13 Example 1 13 Example 1 13 Example 1
1
1518-1521
13 Example 1 13 Example 1 13 Example 1 13 Example 1
1
1519-1522
13 Example 1 13 Example 1 13 Example 1 13 = 1 1 122 g mol 241
1
1520-1523
13 Example 1 13 Example 1 13 = 1 1 122 g mol 241 98 g mol   or 2 x = 122 1 1 0
1
1521-1524
13 Example 1 13 = 1 1 122 g mol 241 98 g mol   or 2 x = 122 1 1 0 504 0
1
1522-1525
13 = 1 1 122 g mol 241 98 g mol   or 2 x = 122 1 1 0 504 0 496 241
1
1523-1526
98 g mol   or 2 x = 122 1 1 0 504 0 496 241 98    or x = 2 × 0
1
1524-1527
504 0 496 241 98    or x = 2 × 0 496 = 0
1
1525-1528
496 241 98    or x = 2 × 0 496 = 0 992 Therefore, degree of association of benzoic acid in benzene is 99
1
1526-1529
98    or x = 2 × 0 496 = 0 992 Therefore, degree of association of benzoic acid in benzene is 99 2 %
1
1527-1530
496 = 0 992 Therefore, degree of association of benzoic acid in benzene is 99 2 % 0
1
1528-1531
992 Therefore, degree of association of benzoic acid in benzene is 99 2 % 0 6 mL of acetic acid (CH3COOH), having density 1
1
1529-1532
2 % 0 6 mL of acetic acid (CH3COOH), having density 1 06 g mL–1, is dissolved in 1 litre of water
1
1530-1533
0 6 mL of acetic acid (CH3COOH), having density 1 06 g mL–1, is dissolved in 1 litre of water The depression in freezing point observed for this strength of acid was 0
1
1531-1534
6 mL of acetic acid (CH3COOH), having density 1 06 g mL–1, is dissolved in 1 litre of water The depression in freezing point observed for this strength of acid was 0 0205°C
1
1532-1535
06 g mL–1, is dissolved in 1 litre of water The depression in freezing point observed for this strength of acid was 0 0205°C Calculate the van’t Hoff factor and the dissociation constant of acid
1
1533-1536
The depression in freezing point observed for this strength of acid was 0 0205°C Calculate the van’t Hoff factor and the dissociation constant of acid Number of moles of acetic acid = 1 1 0
1
1534-1537
0205°C Calculate the van’t Hoff factor and the dissociation constant of acid Number of moles of acetic acid = 1 1 0 6 mL 1
1
1535-1538
Calculate the van’t Hoff factor and the dissociation constant of acid Number of moles of acetic acid = 1 1 0 6 mL 1 06 g mL 60 g mol    = 0
1
1536-1539
Number of moles of acetic acid = 1 1 0 6 mL 1 06 g mL 60 g mol    = 0 0106 mol = n Molality = 1 0
1
1537-1540
6 mL 1 06 g mL 60 g mol    = 0 0106 mol = n Molality = 1 0 0106 mol 1000 mL  1 g mL = 0
1
1538-1541
06 g mL 60 g mol    = 0 0106 mol = n Molality = 1 0 0106 mol 1000 mL  1 g mL = 0 0106 mol kg–1 Using equation (1
1
1539-1542
0106 mol = n Molality = 1 0 0106 mol 1000 mL  1 g mL = 0 0106 mol kg–1 Using equation (1 35) DTf = 1
1
1540-1543
0106 mol 1000 mL  1 g mL = 0 0106 mol kg–1 Using equation (1 35) DTf = 1 86 K kg mol–1 × 0
1
1541-1544
0106 mol kg–1 Using equation (1 35) DTf = 1 86 K kg mol–1 × 0 0106 mol kg–1 = 0
1
1542-1545
35) DTf = 1 86 K kg mol–1 × 0 0106 mol kg–1 = 0 0197 K van’t Hoff Factor (i) = Observed freezing point Calculated freezing point = 0
1
1543-1546
86 K kg mol–1 × 0 0106 mol kg–1 = 0 0197 K van’t Hoff Factor (i) = Observed freezing point Calculated freezing point = 0 0205 K 0
1
1544-1547
0106 mol kg–1 = 0 0197 K van’t Hoff Factor (i) = Observed freezing point Calculated freezing point = 0 0205 K 0 0197 K = 1
1
1545-1548
0197 K van’t Hoff Factor (i) = Observed freezing point Calculated freezing point = 0 0205 K 0 0197 K = 1 041 Acetic acid is a weak electrolyte and will dissociate into two ions: acetate and hydrogen ions per molecule of acetic acid
1
1546-1549
0205 K 0 0197 K = 1 041 Acetic acid is a weak electrolyte and will dissociate into two ions: acetate and hydrogen ions per molecule of acetic acid If x is the degree of dissociation of acetic acid, then we would have n (1 – x) moles of undissociated acetic acid, nx moles of CH3COO– and nx moles of H+ ions, ( ) + − + − ⇌ 3 3 CH COOH H CH COO mol 0 0 mol mol nn1 nx nx x Thus total moles of particles are: n(1 – x + x + x) = n(1 + x )   1 1 1
1
1547-1550
0197 K = 1 041 Acetic acid is a weak electrolyte and will dissociate into two ions: acetate and hydrogen ions per molecule of acetic acid If x is the degree of dissociation of acetic acid, then we would have n (1 – x) moles of undissociated acetic acid, nx moles of CH3COO– and nx moles of H+ ions, ( ) + − + − ⇌ 3 3 CH COOH H CH COO mol 0 0 mol mol nn1 nx nx x Thus total moles of particles are: n(1 – x + x + x) = n(1 + x )   1 1 1 041      n x i x n Thus degree of dissociation of acetic acid = x = 1
1
1548-1551
041 Acetic acid is a weak electrolyte and will dissociate into two ions: acetate and hydrogen ions per molecule of acetic acid If x is the degree of dissociation of acetic acid, then we would have n (1 – x) moles of undissociated acetic acid, nx moles of CH3COO– and nx moles of H+ ions, ( ) + − + − ⇌ 3 3 CH COOH H CH COO mol 0 0 mol mol nn1 nx nx x Thus total moles of particles are: n(1 – x + x + x) = n(1 + x )   1 1 1 041      n x i x n Thus degree of dissociation of acetic acid = x = 1 041– 1
1
1549-1552
If x is the degree of dissociation of acetic acid, then we would have n (1 – x) moles of undissociated acetic acid, nx moles of CH3COO– and nx moles of H+ ions, ( ) + − + − ⇌ 3 3 CH COOH H CH COO mol 0 0 mol mol nn1 nx nx x Thus total moles of particles are: n(1 – x + x + x) = n(1 + x )   1 1 1 041      n x i x n Thus degree of dissociation of acetic acid = x = 1 041– 1 000 = 0
1
1550-1553
041      n x i x n Thus degree of dissociation of acetic acid = x = 1 041– 1 000 = 0 041 Then [CH3COOH] = n(1 – x) = 0
1
1551-1554
041– 1 000 = 0 041 Then [CH3COOH] = n(1 – x) = 0 0106 (1 – 0
1
1552-1555
000 = 0 041 Then [CH3COOH] = n(1 – x) = 0 0106 (1 – 0 041), [CH3COO–] = nx = 0
1
1553-1556
041 Then [CH3COOH] = n(1 – x) = 0 0106 (1 – 0 041), [CH3COO–] = nx = 0 0106 × 0
1
1554-1557
0106 (1 – 0 041), [CH3COO–] = nx = 0 0106 × 0 041, [H+] = nx = 0
1
1555-1558
041), [CH3COO–] = nx = 0 0106 × 0 041, [H+] = nx = 0 0106 × 0
1
1556-1559
0106 × 0 041, [H+] = nx = 0 0106 × 0 041
1
1557-1560
041, [H+] = nx = 0 0106 × 0 041 Ka = 3 3 [ ][ ] [ ]   CH COO H CH COOH = 0
1
1558-1561
0106 × 0 041 Ka = 3 3 [ ][ ] [ ]   CH COO H CH COOH = 0 0106 × 0
1
1559-1562
041 Ka = 3 3 [ ][ ] [ ]   CH COO H CH COOH = 0 0106 × 0 041 × 0
1
1560-1563
Ka = 3 3 [ ][ ] [ ]   CH COO H CH COOH = 0 0106 × 0 041 × 0 0106 × 0
1
1561-1564
0106 × 0 041 × 0 0106 × 0 041 0
1
1562-1565
041 × 0 0106 × 0 041 0 0106 (1
1
1563-1566
0106 × 0 041 0 0106 (1 00 0
1
1564-1567
041 0 0106 (1 00 0 041)  = 1
1
1565-1568
0106 (1 00 0 041)  = 1 86 × 10–5 Solution Solution Solution Solution Solution Rationalised 2023-24 27 Solutions Summary Summary Summary Summary Summary A solution is a homogeneous mixture of two or more substances
1
1566-1569
00 0 041)  = 1 86 × 10–5 Solution Solution Solution Solution Solution Rationalised 2023-24 27 Solutions Summary Summary Summary Summary Summary A solution is a homogeneous mixture of two or more substances Solutions are classified as solid, liquid and gaseous solutions
1
1567-1570
041)  = 1 86 × 10–5 Solution Solution Solution Solution Solution Rationalised 2023-24 27 Solutions Summary Summary Summary Summary Summary A solution is a homogeneous mixture of two or more substances Solutions are classified as solid, liquid and gaseous solutions The concentration of a solution is expressed in terms of mole fraction, molarity, molality and in percentages
1
1568-1571
86 × 10–5 Solution Solution Solution Solution Solution Rationalised 2023-24 27 Solutions Summary Summary Summary Summary Summary A solution is a homogeneous mixture of two or more substances Solutions are classified as solid, liquid and gaseous solutions The concentration of a solution is expressed in terms of mole fraction, molarity, molality and in percentages The dissolution of a gas in a liquid is governed by Henry’s law, according to which, at a given temperature, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas
1
1569-1572
Solutions are classified as solid, liquid and gaseous solutions The concentration of a solution is expressed in terms of mole fraction, molarity, molality and in percentages The dissolution of a gas in a liquid is governed by Henry’s law, according to which, at a given temperature, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas The vapour pressure of the solvent is lowered by the presence of a non-volatile solute in the solution and this lowering of vapour pressure of the solvent is governed by Raoult’s law, according to which the relative lowering of vapour pressure of the solvent over a solution is equal to the mole fraction of a non-volatile solute present in the solution
1
1570-1573
The concentration of a solution is expressed in terms of mole fraction, molarity, molality and in percentages The dissolution of a gas in a liquid is governed by Henry’s law, according to which, at a given temperature, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas The vapour pressure of the solvent is lowered by the presence of a non-volatile solute in the solution and this lowering of vapour pressure of the solvent is governed by Raoult’s law, according to which the relative lowering of vapour pressure of the solvent over a solution is equal to the mole fraction of a non-volatile solute present in the solution However, in a binary liquid solution, if both the components of the solution are volatile then another form of Raoult’s law is used
1
1571-1574
The dissolution of a gas in a liquid is governed by Henry’s law, according to which, at a given temperature, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas The vapour pressure of the solvent is lowered by the presence of a non-volatile solute in the solution and this lowering of vapour pressure of the solvent is governed by Raoult’s law, according to which the relative lowering of vapour pressure of the solvent over a solution is equal to the mole fraction of a non-volatile solute present in the solution However, in a binary liquid solution, if both the components of the solution are volatile then another form of Raoult’s law is used Mathematically, this form of the Raoult’s law is stated as: 0 0 total 1 2 2 1   p p x p x
1
1572-1575
The vapour pressure of the solvent is lowered by the presence of a non-volatile solute in the solution and this lowering of vapour pressure of the solvent is governed by Raoult’s law, according to which the relative lowering of vapour pressure of the solvent over a solution is equal to the mole fraction of a non-volatile solute present in the solution However, in a binary liquid solution, if both the components of the solution are volatile then another form of Raoult’s law is used Mathematically, this form of the Raoult’s law is stated as: 0 0 total 1 2 2 1   p p x p x Solutions which obey Raoult’s law over the entire range of concentration are called ideal solutions
1
1573-1576
However, in a binary liquid solution, if both the components of the solution are volatile then another form of Raoult’s law is used Mathematically, this form of the Raoult’s law is stated as: 0 0 total 1 2 2 1   p p x p x Solutions which obey Raoult’s law over the entire range of concentration are called ideal solutions Two types of deviations from Raoult’s law, called positive and negative deviations are observed
1
1574-1577
Mathematically, this form of the Raoult’s law is stated as: 0 0 total 1 2 2 1   p p x p x Solutions which obey Raoult’s law over the entire range of concentration are called ideal solutions Two types of deviations from Raoult’s law, called positive and negative deviations are observed Azeotropes arise due to very large deviations from Raoult’s law
1
1575-1578
Solutions which obey Raoult’s law over the entire range of concentration are called ideal solutions Two types of deviations from Raoult’s law, called positive and negative deviations are observed Azeotropes arise due to very large deviations from Raoult’s law The properties of solutions which depend on the number of solute particles and are independent of their chemical identity are called colligative properties
1
1576-1579
Two types of deviations from Raoult’s law, called positive and negative deviations are observed Azeotropes arise due to very large deviations from Raoult’s law The properties of solutions which depend on the number of solute particles and are independent of their chemical identity are called colligative properties These are lowering of vapour pressure, elevation of boiling point, depression of freezing point and osmotic pressure
1
1577-1580
Azeotropes arise due to very large deviations from Raoult’s law The properties of solutions which depend on the number of solute particles and are independent of their chemical identity are called colligative properties These are lowering of vapour pressure, elevation of boiling point, depression of freezing point and osmotic pressure The process of osmosis can be reversed if a pressure higher than the osmotic pressure is applied to the solution
1
1578-1581
The properties of solutions which depend on the number of solute particles and are independent of their chemical identity are called colligative properties These are lowering of vapour pressure, elevation of boiling point, depression of freezing point and osmotic pressure The process of osmosis can be reversed if a pressure higher than the osmotic pressure is applied to the solution Colligative properties have been used to determine the molar mass of solutes
1
1579-1582
These are lowering of vapour pressure, elevation of boiling point, depression of freezing point and osmotic pressure The process of osmosis can be reversed if a pressure higher than the osmotic pressure is applied to the solution Colligative properties have been used to determine the molar mass of solutes Solutes which dissociate in solution exhibit molar mass lower than the actual molar mass and those which associate show higher molar mass than their actual values
1
1580-1583
The process of osmosis can be reversed if a pressure higher than the osmotic pressure is applied to the solution Colligative properties have been used to determine the molar mass of solutes Solutes which dissociate in solution exhibit molar mass lower than the actual molar mass and those which associate show higher molar mass than their actual values Quantitatively, the extent to which a solute is dissociated or associated can be expressed by van’t Hoff factor i
1
1581-1584
Colligative properties have been used to determine the molar mass of solutes Solutes which dissociate in solution exhibit molar mass lower than the actual molar mass and those which associate show higher molar mass than their actual values Quantitatively, the extent to which a solute is dissociated or associated can be expressed by van’t Hoff factor i This factor has been defined as ratio of normal molar mass to experimentally determined molar mass or as the ratio of observed colligative property to the calculated colligative property
1
1582-1585
Solutes which dissociate in solution exhibit molar mass lower than the actual molar mass and those which associate show higher molar mass than their actual values Quantitatively, the extent to which a solute is dissociated or associated can be expressed by van’t Hoff factor i This factor has been defined as ratio of normal molar mass to experimentally determined molar mass or as the ratio of observed colligative property to the calculated colligative property 1
1
1583-1586
Quantitatively, the extent to which a solute is dissociated or associated can be expressed by van’t Hoff factor i This factor has been defined as ratio of normal molar mass to experimentally determined molar mass or as the ratio of observed colligative property to the calculated colligative property 1 1 Define the term solution
1
1584-1587
This factor has been defined as ratio of normal molar mass to experimentally determined molar mass or as the ratio of observed colligative property to the calculated colligative property 1 1 Define the term solution How many types of solutions are formed
1
1585-1588
1 1 Define the term solution How many types of solutions are formed Write briefly about each type with an example
1
1586-1589
1 Define the term solution How many types of solutions are formed Write briefly about each type with an example 1
1
1587-1590
How many types of solutions are formed Write briefly about each type with an example 1 2 Give an example of a solid solution in which the solute is a gas
1
1588-1591
Write briefly about each type with an example 1 2 Give an example of a solid solution in which the solute is a gas 1
1
1589-1592
1 2 Give an example of a solid solution in which the solute is a gas 1 3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage
1
1590-1593
2 Give an example of a solid solution in which the solute is a gas 1 3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage 1
1
1591-1594
1 3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage 1 4 Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in aqueous solution
1
1592-1595
3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage 1 4 Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in aqueous solution What should be the molarity of such a sample of the acid if the density of the solution is 1
1
1593-1596
1 4 Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in aqueous solution What should be the molarity of such a sample of the acid if the density of the solution is 1 504 g mL–1
1
1594-1597
4 Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in aqueous solution What should be the molarity of such a sample of the acid if the density of the solution is 1 504 g mL–1 Exercises Exercises Exercises Exercises Exercises Rationalised 2023-24 28 Chemistry 1
1
1595-1598
What should be the molarity of such a sample of the acid if the density of the solution is 1 504 g mL–1 Exercises Exercises Exercises Exercises Exercises Rationalised 2023-24 28 Chemistry 1 5 A solution of glucose in water is labelled as 10% w/w, what would be the molality and mole fraction of each component in the solution
1
1596-1599
504 g mL–1 Exercises Exercises Exercises Exercises Exercises Rationalised 2023-24 28 Chemistry 1 5 A solution of glucose in water is labelled as 10% w/w, what would be the molality and mole fraction of each component in the solution If the density of solution is 1
1
1597-1600
Exercises Exercises Exercises Exercises Exercises Rationalised 2023-24 28 Chemistry 1 5 A solution of glucose in water is labelled as 10% w/w, what would be the molality and mole fraction of each component in the solution If the density of solution is 1 2 g mL–1, then what shall be the molarity of the solution
1
1598-1601
5 A solution of glucose in water is labelled as 10% w/w, what would be the molality and mole fraction of each component in the solution If the density of solution is 1 2 g mL–1, then what shall be the molarity of the solution 1
1
1599-1602
If the density of solution is 1 2 g mL–1, then what shall be the molarity of the solution 1 6 How many mL of 0
1
1600-1603
2 g mL–1, then what shall be the molarity of the solution 1 6 How many mL of 0 1 M HCl are required to react completely with 1 g mixture of Na2CO3 and NaHCO3 containing equimolar amounts of both
1
1601-1604
1 6 How many mL of 0 1 M HCl are required to react completely with 1 g mixture of Na2CO3 and NaHCO3 containing equimolar amounts of both 1
1
1602-1605
6 How many mL of 0 1 M HCl are required to react completely with 1 g mixture of Na2CO3 and NaHCO3 containing equimolar amounts of both 1 7 A solution is obtained by mixing 300 g of 25% solution and 400 g of 40% solution by mass
1
1603-1606
1 M HCl are required to react completely with 1 g mixture of Na2CO3 and NaHCO3 containing equimolar amounts of both 1 7 A solution is obtained by mixing 300 g of 25% solution and 400 g of 40% solution by mass Calculate the mass percentage of the resulting solution
1
1604-1607
1 7 A solution is obtained by mixing 300 g of 25% solution and 400 g of 40% solution by mass Calculate the mass percentage of the resulting solution 1