Chapter
stringclasses
18 values
sentence_range
stringlengths
3
9
Text
stringlengths
7
7.34k
1
1105-1108
26) Here n1 and n2 are the number of moles of solvent and solute respectively present in the solution For dilute solutions n2 < < n1, hence neglecting n2 in the denominator we have 10 1 0 1 p p p  = 2 1 n n (1 27) or 10 1 0 1 - p p p = 2 1 2 1 w × × w M M (1 28) Here w1 and w2 are the masses and M1 and M2 are the molar masses of the solvent and solute respectively
1
1106-1109
For dilute solutions n2 < < n1, hence neglecting n2 in the denominator we have 10 1 0 1 p p p  = 2 1 n n (1 27) or 10 1 0 1 - p p p = 2 1 2 1 w × × w M M (1 28) Here w1 and w2 are the masses and M1 and M2 are the molar masses of the solvent and solute respectively From this equation (1
1
1107-1110
27) or 10 1 0 1 - p p p = 2 1 2 1 w × × w M M (1 28) Here w1 and w2 are the masses and M1 and M2 are the molar masses of the solvent and solute respectively From this equation (1 28), knowing all other quantities, the molar mass of solute (M2) can be calculated
1
1108-1111
28) Here w1 and w2 are the masses and M1 and M2 are the molar masses of the solvent and solute respectively From this equation (1 28), knowing all other quantities, the molar mass of solute (M2) can be calculated Example 1
1
1109-1112
From this equation (1 28), knowing all other quantities, the molar mass of solute (M2) can be calculated Example 1 6 Example 1
1
1110-1113
28), knowing all other quantities, the molar mass of solute (M2) can be calculated Example 1 6 Example 1 6 Example 1
1
1111-1114
Example 1 6 Example 1 6 Example 1 6 Example 1
1
1112-1115
6 Example 1 6 Example 1 6 Example 1 6 Example 1
1
1113-1116
6 Example 1 6 Example 1 6 Example 1 6 The vapour pressure of pure benzene at a certain temperature is 0
1
1114-1117
6 Example 1 6 Example 1 6 The vapour pressure of pure benzene at a certain temperature is 0 850 bar
1
1115-1118
6 Example 1 6 The vapour pressure of pure benzene at a certain temperature is 0 850 bar A non-volatile, non-electrolyte solid weighing 0
1
1116-1119
6 The vapour pressure of pure benzene at a certain temperature is 0 850 bar A non-volatile, non-electrolyte solid weighing 0 5 g when added to 39
1
1117-1120
850 bar A non-volatile, non-electrolyte solid weighing 0 5 g when added to 39 0 g of benzene (molar mass 78 g mol-1)
1
1118-1121
A non-volatile, non-electrolyte solid weighing 0 5 g when added to 39 0 g of benzene (molar mass 78 g mol-1) Vapour pressure of the solution, then, is 0
1
1119-1122
5 g when added to 39 0 g of benzene (molar mass 78 g mol-1) Vapour pressure of the solution, then, is 0 845 bar
1
1120-1123
0 g of benzene (molar mass 78 g mol-1) Vapour pressure of the solution, then, is 0 845 bar What is the molar mass of the solid substance
1
1121-1124
Vapour pressure of the solution, then, is 0 845 bar What is the molar mass of the solid substance The various quantities known to us are as follows: p1 0 = 0
1
1122-1125
845 bar What is the molar mass of the solid substance The various quantities known to us are as follows: p1 0 = 0 850 bar; p = 0
1
1123-1126
What is the molar mass of the solid substance The various quantities known to us are as follows: p1 0 = 0 850 bar; p = 0 845 bar; M1 = 78 g mol–1; w2 = 0
1
1124-1127
The various quantities known to us are as follows: p1 0 = 0 850 bar; p = 0 845 bar; M1 = 78 g mol–1; w2 = 0 5 g; w1 = 39 g Substituting these values in equation (2
1
1125-1128
850 bar; p = 0 845 bar; M1 = 78 g mol–1; w2 = 0 5 g; w1 = 39 g Substituting these values in equation (2 28), we get 0
1
1126-1129
845 bar; M1 = 78 g mol–1; w2 = 0 5 g; w1 = 39 g Substituting these values in equation (2 28), we get 0 850 bar – 0
1
1127-1130
5 g; w1 = 39 g Substituting these values in equation (2 28), we get 0 850 bar – 0 845 bar 0
1
1128-1131
28), we get 0 850 bar – 0 845 bar 0 850 bar = –1 2 0
1
1129-1132
850 bar – 0 845 bar 0 850 bar = –1 2 0 5 g × 78 g mol × 39 g M Therefore, M2 = 170 g mol–1 The vapour pressure of a liquid increases with increase of temperature
1
1130-1133
845 bar 0 850 bar = –1 2 0 5 g × 78 g mol × 39 g M Therefore, M2 = 170 g mol–1 The vapour pressure of a liquid increases with increase of temperature It boils at the temperature at which its vapour pressure is equal to the atmospheric pressure
1
1131-1134
850 bar = –1 2 0 5 g × 78 g mol × 39 g M Therefore, M2 = 170 g mol–1 The vapour pressure of a liquid increases with increase of temperature It boils at the temperature at which its vapour pressure is equal to the atmospheric pressure For example, water boils at 373
1
1132-1135
5 g × 78 g mol × 39 g M Therefore, M2 = 170 g mol–1 The vapour pressure of a liquid increases with increase of temperature It boils at the temperature at which its vapour pressure is equal to the atmospheric pressure For example, water boils at 373 15 K (100° C) because at this temperature the vapour pressure of water is 1
1
1133-1136
It boils at the temperature at which its vapour pressure is equal to the atmospheric pressure For example, water boils at 373 15 K (100° C) because at this temperature the vapour pressure of water is 1 013 bar (1 atmosphere)
1
1134-1137
For example, water boils at 373 15 K (100° C) because at this temperature the vapour pressure of water is 1 013 bar (1 atmosphere) We have also learnt in the last section that vapour pressure of the solvent decreases in the presence of non-volatile solute
1
1135-1138
15 K (100° C) because at this temperature the vapour pressure of water is 1 013 bar (1 atmosphere) We have also learnt in the last section that vapour pressure of the solvent decreases in the presence of non-volatile solute Fig
1
1136-1139
013 bar (1 atmosphere) We have also learnt in the last section that vapour pressure of the solvent decreases in the presence of non-volatile solute Fig 1
1
1137-1140
We have also learnt in the last section that vapour pressure of the solvent decreases in the presence of non-volatile solute Fig 1 7 depicts the variation of vapour pressure of the pure solvent and solution as a function of temperature
1
1138-1141
Fig 1 7 depicts the variation of vapour pressure of the pure solvent and solution as a function of temperature For example, the vapour pressure of an aqueous solution of sucrose is less than 1
1
1139-1142
1 7 depicts the variation of vapour pressure of the pure solvent and solution as a function of temperature For example, the vapour pressure of an aqueous solution of sucrose is less than 1 013 bar at 373
1
1140-1143
7 depicts the variation of vapour pressure of the pure solvent and solution as a function of temperature For example, the vapour pressure of an aqueous solution of sucrose is less than 1 013 bar at 373 15 K
1
1141-1144
For example, the vapour pressure of an aqueous solution of sucrose is less than 1 013 bar at 373 15 K In order to make this solution boil, its vapour pressure must be increased to 1
1
1142-1145
013 bar at 373 15 K In order to make this solution boil, its vapour pressure must be increased to 1 013 bar by raising the temperature above the boiling temperature of the pure solvent (water)
1
1143-1146
15 K In order to make this solution boil, its vapour pressure must be increased to 1 013 bar by raising the temperature above the boiling temperature of the pure solvent (water) Thus, the boiling point of a solution is 1
1
1144-1147
In order to make this solution boil, its vapour pressure must be increased to 1 013 bar by raising the temperature above the boiling temperature of the pure solvent (water) Thus, the boiling point of a solution is 1 6
1
1145-1148
013 bar by raising the temperature above the boiling temperature of the pure solvent (water) Thus, the boiling point of a solution is 1 6 2 Elevation of Boiling Point Solution Solution Solution Solution Solution Rationalised 2023-24 17 Solutions always higher than that of the boiling point of the pure solvent in which the solution is prepared as shown in Fig
1
1146-1149
Thus, the boiling point of a solution is 1 6 2 Elevation of Boiling Point Solution Solution Solution Solution Solution Rationalised 2023-24 17 Solutions always higher than that of the boiling point of the pure solvent in which the solution is prepared as shown in Fig 1
1
1147-1150
6 2 Elevation of Boiling Point Solution Solution Solution Solution Solution Rationalised 2023-24 17 Solutions always higher than that of the boiling point of the pure solvent in which the solution is prepared as shown in Fig 1 7
1
1148-1151
2 Elevation of Boiling Point Solution Solution Solution Solution Solution Rationalised 2023-24 17 Solutions always higher than that of the boiling point of the pure solvent in which the solution is prepared as shown in Fig 1 7 Similar to lowering of vapour pressure, the elevation of boiling point also depends on the number of solute molecules rather than their nature
1
1149-1152
1 7 Similar to lowering of vapour pressure, the elevation of boiling point also depends on the number of solute molecules rather than their nature A solution of 1 mol of sucrose in 1000 g of water boils at 373
1
1150-1153
7 Similar to lowering of vapour pressure, the elevation of boiling point also depends on the number of solute molecules rather than their nature A solution of 1 mol of sucrose in 1000 g of water boils at 373 52 K at one atmospheric pressure
1
1151-1154
Similar to lowering of vapour pressure, the elevation of boiling point also depends on the number of solute molecules rather than their nature A solution of 1 mol of sucrose in 1000 g of water boils at 373 52 K at one atmospheric pressure Let b0 T be the boiling point of pure solvent and b T be the boiling point of solution
1
1152-1155
A solution of 1 mol of sucrose in 1000 g of water boils at 373 52 K at one atmospheric pressure Let b0 T be the boiling point of pure solvent and b T be the boiling point of solution The increase in the boiling point 0 b b b    T T T is known as elevation of boiling point
1
1153-1156
52 K at one atmospheric pressure Let b0 T be the boiling point of pure solvent and b T be the boiling point of solution The increase in the boiling point 0 b b b    T T T is known as elevation of boiling point Experiments have shown that for dilute solutions the elevation of boiling point (DTb) is directly proportional to the molal concentration of the solute in a solution
1
1154-1157
Let b0 T be the boiling point of pure solvent and b T be the boiling point of solution The increase in the boiling point 0 b b b    T T T is known as elevation of boiling point Experiments have shown that for dilute solutions the elevation of boiling point (DTb) is directly proportional to the molal concentration of the solute in a solution Thus DTb µ m (1
1
1155-1158
The increase in the boiling point 0 b b b    T T T is known as elevation of boiling point Experiments have shown that for dilute solutions the elevation of boiling point (DTb) is directly proportional to the molal concentration of the solute in a solution Thus DTb µ m (1 29) or DTb = Kb m (1
1
1156-1159
Experiments have shown that for dilute solutions the elevation of boiling point (DTb) is directly proportional to the molal concentration of the solute in a solution Thus DTb µ m (1 29) or DTb = Kb m (1 30) Here m (molality) is the number of moles of solute dissolved in 1 kg of solvent and the constant of proportionality, Kb is called Boiling Point Elevation Constant or Molal Elevation Constant (Ebullioscopic Constant)
1
1157-1160
Thus DTb µ m (1 29) or DTb = Kb m (1 30) Here m (molality) is the number of moles of solute dissolved in 1 kg of solvent and the constant of proportionality, Kb is called Boiling Point Elevation Constant or Molal Elevation Constant (Ebullioscopic Constant) The unit of Kb is K kg mol-1
1
1158-1161
29) or DTb = Kb m (1 30) Here m (molality) is the number of moles of solute dissolved in 1 kg of solvent and the constant of proportionality, Kb is called Boiling Point Elevation Constant or Molal Elevation Constant (Ebullioscopic Constant) The unit of Kb is K kg mol-1 Values of Kb for some common solvents are given in Table 1
1
1159-1162
30) Here m (molality) is the number of moles of solute dissolved in 1 kg of solvent and the constant of proportionality, Kb is called Boiling Point Elevation Constant or Molal Elevation Constant (Ebullioscopic Constant) The unit of Kb is K kg mol-1 Values of Kb for some common solvents are given in Table 1 3
1
1160-1163
The unit of Kb is K kg mol-1 Values of Kb for some common solvents are given in Table 1 3 If w2 gram of solute of molar mass M2 is dissolved in w1 gram of solvent, then molality, m of the solution is given by the expression: m = 2 2 1 /M /1000 ww = 2 2 1 1000 × × M ww (1
1
1161-1164
Values of Kb for some common solvents are given in Table 1 3 If w2 gram of solute of molar mass M2 is dissolved in w1 gram of solvent, then molality, m of the solution is given by the expression: m = 2 2 1 /M /1000 ww = 2 2 1 1000 × × M ww (1 31) Substituting the value of molality in equation (1
1
1162-1165
3 If w2 gram of solute of molar mass M2 is dissolved in w1 gram of solvent, then molality, m of the solution is given by the expression: m = 2 2 1 /M /1000 ww = 2 2 1 1000 × × M ww (1 31) Substituting the value of molality in equation (1 30) we get DTb = b 2 2 1 × 1000 × × K M w w (1
1
1163-1166
If w2 gram of solute of molar mass M2 is dissolved in w1 gram of solvent, then molality, m of the solution is given by the expression: m = 2 2 1 /M /1000 ww = 2 2 1 1000 × × M ww (1 31) Substituting the value of molality in equation (1 30) we get DTb = b 2 2 1 × 1000 × × K M w w (1 32) M2 = 2 b b 1 1000 × × ×  K T w w (1
1
1164-1167
31) Substituting the value of molality in equation (1 30) we get DTb = b 2 2 1 × 1000 × × K M w w (1 32) M2 = 2 b b 1 1000 × × ×  K T w w (1 33) Thus, in order to determine M2, molar mass of the solute, known mass of solute in a known mass of the solvent is taken and DTb is determined experimentally for a known solvent whose Kb value is known
1
1165-1168
30) we get DTb = b 2 2 1 × 1000 × × K M w w (1 32) M2 = 2 b b 1 1000 × × ×  K T w w (1 33) Thus, in order to determine M2, molar mass of the solute, known mass of solute in a known mass of the solvent is taken and DTb is determined experimentally for a known solvent whose Kb value is known 18 g of glucose, C6H12O6, is dissolved in 1 kg of water in a saucepan
1
1166-1169
32) M2 = 2 b b 1 1000 × × ×  K T w w (1 33) Thus, in order to determine M2, molar mass of the solute, known mass of solute in a known mass of the solvent is taken and DTb is determined experimentally for a known solvent whose Kb value is known 18 g of glucose, C6H12O6, is dissolved in 1 kg of water in a saucepan At what temperature will water boil at 1
1
1167-1170
33) Thus, in order to determine M2, molar mass of the solute, known mass of solute in a known mass of the solvent is taken and DTb is determined experimentally for a known solvent whose Kb value is known 18 g of glucose, C6H12O6, is dissolved in 1 kg of water in a saucepan At what temperature will water boil at 1 013 bar
1
1168-1171
18 g of glucose, C6H12O6, is dissolved in 1 kg of water in a saucepan At what temperature will water boil at 1 013 bar Kb for water is 0
1
1169-1172
At what temperature will water boil at 1 013 bar Kb for water is 0 52 K kg mol-1
1
1170-1173
013 bar Kb for water is 0 52 K kg mol-1 Moles of glucose = 18 g/ 180 g mol–1 = 0
1
1171-1174
Kb for water is 0 52 K kg mol-1 Moles of glucose = 18 g/ 180 g mol–1 = 0 1 mol Number of kilograms of solvent = 1 kg Thus molality of glucose solution = 0
1
1172-1175
52 K kg mol-1 Moles of glucose = 18 g/ 180 g mol–1 = 0 1 mol Number of kilograms of solvent = 1 kg Thus molality of glucose solution = 0 1 mol kg-1 For water, change in boiling point Example 1
1
1173-1176
Moles of glucose = 18 g/ 180 g mol–1 = 0 1 mol Number of kilograms of solvent = 1 kg Thus molality of glucose solution = 0 1 mol kg-1 For water, change in boiling point Example 1 7 Example 1
1
1174-1177
1 mol Number of kilograms of solvent = 1 kg Thus molality of glucose solution = 0 1 mol kg-1 For water, change in boiling point Example 1 7 Example 1 7 Example 1
1
1175-1178
1 mol kg-1 For water, change in boiling point Example 1 7 Example 1 7 Example 1 7 Example 1
1
1176-1179
7 Example 1 7 Example 1 7 Example 1 7 Example 1
1
1177-1180
7 Example 1 7 Example 1 7 Example 1 7 Solution Solution Solution Solution Solution Fig
1
1178-1181
7 Example 1 7 Example 1 7 Solution Solution Solution Solution Solution Fig 1
1
1179-1182
7 Example 1 7 Solution Solution Solution Solution Solution Fig 1 7: The vapour pressure curve for solution lies below the curve for pure water
1
1180-1183
7 Solution Solution Solution Solution Solution Fig 1 7: The vapour pressure curve for solution lies below the curve for pure water The diagram shows that DTb denotes the elevation of boiling point of a solvent in solution
1
1181-1184
1 7: The vapour pressure curve for solution lies below the curve for pure water The diagram shows that DTb denotes the elevation of boiling point of a solvent in solution 1
1
1182-1185
7: The vapour pressure curve for solution lies below the curve for pure water The diagram shows that DTb denotes the elevation of boiling point of a solvent in solution 1 013 bar or Rationalised 2023-24 18 Chemistry The lowering of vapour pressure of a solution causes a lowering of the freezing point compared to that of the pure solvent (Fig
1
1183-1186
The diagram shows that DTb denotes the elevation of boiling point of a solvent in solution 1 013 bar or Rationalised 2023-24 18 Chemistry The lowering of vapour pressure of a solution causes a lowering of the freezing point compared to that of the pure solvent (Fig 1
1
1184-1187
1 013 bar or Rationalised 2023-24 18 Chemistry The lowering of vapour pressure of a solution causes a lowering of the freezing point compared to that of the pure solvent (Fig 1 8)
1
1185-1188
013 bar or Rationalised 2023-24 18 Chemistry The lowering of vapour pressure of a solution causes a lowering of the freezing point compared to that of the pure solvent (Fig 1 8) We know that at the freezing point of a substance, the solid phase is in dynamic equilibrium with the liquid phase
1
1186-1189
1 8) We know that at the freezing point of a substance, the solid phase is in dynamic equilibrium with the liquid phase Thus, the freezing point of a substance may be defined as the temperature at which the vapour pressure of the substance in its liquid phase is equal to its vapour pressure in the solid phase
1
1187-1190
8) We know that at the freezing point of a substance, the solid phase is in dynamic equilibrium with the liquid phase Thus, the freezing point of a substance may be defined as the temperature at which the vapour pressure of the substance in its liquid phase is equal to its vapour pressure in the solid phase A solution will freeze when its vapour pressure equals the vapour pressure of the pure solid solvent as is clear from Fig
1
1188-1191
We know that at the freezing point of a substance, the solid phase is in dynamic equilibrium with the liquid phase Thus, the freezing point of a substance may be defined as the temperature at which the vapour pressure of the substance in its liquid phase is equal to its vapour pressure in the solid phase A solution will freeze when its vapour pressure equals the vapour pressure of the pure solid solvent as is clear from Fig 1
1
1189-1192
Thus, the freezing point of a substance may be defined as the temperature at which the vapour pressure of the substance in its liquid phase is equal to its vapour pressure in the solid phase A solution will freeze when its vapour pressure equals the vapour pressure of the pure solid solvent as is clear from Fig 1 8
1
1190-1193
A solution will freeze when its vapour pressure equals the vapour pressure of the pure solid solvent as is clear from Fig 1 8 According to Raoult’s law, when a non-volatile solid is added to the solvent its vapour pressure decreases and now it would become equal to that of solid solvent at lower temperature
1
1191-1194
1 8 According to Raoult’s law, when a non-volatile solid is added to the solvent its vapour pressure decreases and now it would become equal to that of solid solvent at lower temperature Thus, the freezing point of the solvent decreases
1
1192-1195
8 According to Raoult’s law, when a non-volatile solid is added to the solvent its vapour pressure decreases and now it would become equal to that of solid solvent at lower temperature Thus, the freezing point of the solvent decreases Let 0 fT be the freezing point of pure solvent and fT be its freezing point when non-volatile solute is dissolved in it
1
1193-1196
According to Raoult’s law, when a non-volatile solid is added to the solvent its vapour pressure decreases and now it would become equal to that of solid solvent at lower temperature Thus, the freezing point of the solvent decreases Let 0 fT be the freezing point of pure solvent and fT be its freezing point when non-volatile solute is dissolved in it The decrease in freezing point
1
1194-1197
Thus, the freezing point of the solvent decreases Let 0 fT be the freezing point of pure solvent and fT be its freezing point when non-volatile solute is dissolved in it The decrease in freezing point 0 f f f    T T T is known as depression in freezing point
1
1195-1198
Let 0 fT be the freezing point of pure solvent and fT be its freezing point when non-volatile solute is dissolved in it The decrease in freezing point 0 f f f    T T T is known as depression in freezing point Similar to elevation of boiling point, depression of freezing point (DTf) for dilute solution (ideal solution) is directly proportional to molality, m of the solution
1
1196-1199
The decrease in freezing point 0 f f f    T T T is known as depression in freezing point Similar to elevation of boiling point, depression of freezing point (DTf) for dilute solution (ideal solution) is directly proportional to molality, m of the solution Thus, DTf µ m or DTf = Kf m (1
1
1197-1200
0 f f f    T T T is known as depression in freezing point Similar to elevation of boiling point, depression of freezing point (DTf) for dilute solution (ideal solution) is directly proportional to molality, m of the solution Thus, DTf µ m or DTf = Kf m (1 34) The proportionality constant, Kf, which depends on the nature of the solvent is known as Freezing Point Depression Constant or Molal Example 1
1
1198-1201
Similar to elevation of boiling point, depression of freezing point (DTf) for dilute solution (ideal solution) is directly proportional to molality, m of the solution Thus, DTf µ m or DTf = Kf m (1 34) The proportionality constant, Kf, which depends on the nature of the solvent is known as Freezing Point Depression Constant or Molal Example 1 8 Example 1
1
1199-1202
Thus, DTf µ m or DTf = Kf m (1 34) The proportionality constant, Kf, which depends on the nature of the solvent is known as Freezing Point Depression Constant or Molal Example 1 8 Example 1 8 Example 1
1
1200-1203
34) The proportionality constant, Kf, which depends on the nature of the solvent is known as Freezing Point Depression Constant or Molal Example 1 8 Example 1 8 Example 1 8 Example 1
1
1201-1204
8 Example 1 8 Example 1 8 Example 1 8 Example 1
1
1202-1205
8 Example 1 8 Example 1 8 Example 1 8 DTb = Kb × m = 0
1
1203-1206
8 Example 1 8 Example 1 8 DTb = Kb × m = 0 52 K kg mol–1 × 0
1
1204-1207
8 Example 1 8 DTb = Kb × m = 0 52 K kg mol–1 × 0 1 mol kg–1 = 0