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805-808
This blocks capillaries and creates a medical condition known as bends, which are painful and dangerous to life If N2 gas is bubbled through water at 293 K, how many millimoles of N2 gas would dissolve in 1 litre of water Assume that N2 exerts a partial pressure of 0 987 bar
1
806-809
If N2 gas is bubbled through water at 293 K, how many millimoles of N2 gas would dissolve in 1 litre of water Assume that N2 exerts a partial pressure of 0 987 bar Given that Henry’s law constant for N2 at 293 K is 76
1
807-810
Assume that N2 exerts a partial pressure of 0 987 bar Given that Henry’s law constant for N2 at 293 K is 76 48 kbar
1
808-811
987 bar Given that Henry’s law constant for N2 at 293 K is 76 48 kbar The solubility of gas is related to the mole fraction in aqueous solution
1
809-812
Given that Henry’s law constant for N2 at 293 K is 76 48 kbar The solubility of gas is related to the mole fraction in aqueous solution The mole fraction of the gas in the solution is calculated by applying Henry’s law
1
810-813
48 kbar The solubility of gas is related to the mole fraction in aqueous solution The mole fraction of the gas in the solution is calculated by applying Henry’s law Thus: x (Nitrogen) = H p (nitrogen) K = 0
1
811-814
The solubility of gas is related to the mole fraction in aqueous solution The mole fraction of the gas in the solution is calculated by applying Henry’s law Thus: x (Nitrogen) = H p (nitrogen) K = 0 987bar 76,480 bar = 1
1
812-815
The mole fraction of the gas in the solution is calculated by applying Henry’s law Thus: x (Nitrogen) = H p (nitrogen) K = 0 987bar 76,480 bar = 1 29 × 10–5 As 1 litre of water contains 55
1
813-816
Thus: x (Nitrogen) = H p (nitrogen) K = 0 987bar 76,480 bar = 1 29 × 10–5 As 1 litre of water contains 55 5 mol of it, therefore if n represents number of moles of N2 in solution, x (Nitrogen) = mol mol n+55
1
814-817
987bar 76,480 bar = 1 29 × 10–5 As 1 litre of water contains 55 5 mol of it, therefore if n represents number of moles of N2 in solution, x (Nitrogen) = mol mol n+55 5 mol n = 55
1
815-818
29 × 10–5 As 1 litre of water contains 55 5 mol of it, therefore if n represents number of moles of N2 in solution, x (Nitrogen) = mol mol n+55 5 mol n = 55 5 n = 1
1
816-819
5 mol of it, therefore if n represents number of moles of N2 in solution, x (Nitrogen) = mol mol n+55 5 mol n = 55 5 n = 1 29 × 10–5 (n in denominator is neglected as it is < < 55
1
817-820
5 mol n = 55 5 n = 1 29 × 10–5 (n in denominator is neglected as it is < < 55 5) Thus n = 1
1
818-821
5 n = 1 29 × 10–5 (n in denominator is neglected as it is < < 55 5) Thus n = 1 29 × 10–5 × 55
1
819-822
29 × 10–5 (n in denominator is neglected as it is < < 55 5) Thus n = 1 29 × 10–5 × 55 5 mol = 7
1
820-823
5) Thus n = 1 29 × 10–5 × 55 5 mol = 7 16 × 10–4 mol = 7
1
821-824
29 × 10–5 × 55 5 mol = 7 16 × 10–4 mol = 7 16×104 mol × 1000 mmol 1 mol = 0
1
822-825
5 mol = 7 16 × 10–4 mol = 7 16×104 mol × 1000 mmol 1 mol = 0 716 mmol Example 1
1
823-826
16 × 10–4 mol = 7 16×104 mol × 1000 mmol 1 mol = 0 716 mmol Example 1 4 Example 1
1
824-827
16×104 mol × 1000 mmol 1 mol = 0 716 mmol Example 1 4 Example 1 4 Example 1
1
825-828
716 mmol Example 1 4 Example 1 4 Example 1 4 Example 1
1
826-829
4 Example 1 4 Example 1 4 Example 1 4 Example 1
1
827-830
4 Example 1 4 Example 1 4 Example 1 4 Solution Solution Solution Solution Solution Gas Temperature/K KH /kbar Gas Temperature/K KH/kbar He 293 144
1
828-831
4 Example 1 4 Example 1 4 Solution Solution Solution Solution Solution Gas Temperature/K KH /kbar Gas Temperature/K KH/kbar He 293 144 97 H2 293 69
1
829-832
4 Example 1 4 Solution Solution Solution Solution Solution Gas Temperature/K KH /kbar Gas Temperature/K KH/kbar He 293 144 97 H2 293 69 16 N2 293 76
1
830-833
4 Solution Solution Solution Solution Solution Gas Temperature/K KH /kbar Gas Temperature/K KH/kbar He 293 144 97 H2 293 69 16 N2 293 76 48 N2 303 88
1
831-834
97 H2 293 69 16 N2 293 76 48 N2 303 88 84 O2 293 34
1
832-835
16 N2 293 76 48 N2 303 88 84 O2 293 34 86 O2 303 46
1
833-836
48 N2 303 88 84 O2 293 34 86 O2 303 46 82 Table 1
1
834-837
84 O2 293 34 86 O2 303 46 82 Table 1 2: Values of Henry's Law Constant for Some Selected Gases in Water Argon 298 40
1
835-838
86 O2 303 46 82 Table 1 2: Values of Henry's Law Constant for Some Selected Gases in Water Argon 298 40 3 CO2 298 1
1
836-839
82 Table 1 2: Values of Henry's Law Constant for Some Selected Gases in Water Argon 298 40 3 CO2 298 1 67 Formaldehyde 298 1
1
837-840
2: Values of Henry's Law Constant for Some Selected Gases in Water Argon 298 40 3 CO2 298 1 67 Formaldehyde 298 1 83×10-5 Methane 298 0
1
838-841
3 CO2 298 1 67 Formaldehyde 298 1 83×10-5 Methane 298 0 413 Vinyl chloride 298 0
1
839-842
67 Formaldehyde 298 1 83×10-5 Methane 298 0 413 Vinyl chloride 298 0 611 Rationalised 2023-24 9 Solutions To avoid bends, as well as, the toxic effects of high concentrations of nitrogen in the blood, the tanks used by scuba divers are filled with air diluted with helium (11
1
840-843
83×10-5 Methane 298 0 413 Vinyl chloride 298 0 611 Rationalised 2023-24 9 Solutions To avoid bends, as well as, the toxic effects of high concentrations of nitrogen in the blood, the tanks used by scuba divers are filled with air diluted with helium (11 7% helium, 56
1
841-844
413 Vinyl chloride 298 0 611 Rationalised 2023-24 9 Solutions To avoid bends, as well as, the toxic effects of high concentrations of nitrogen in the blood, the tanks used by scuba divers are filled with air diluted with helium (11 7% helium, 56 2% nitrogen and 32
1
842-845
611 Rationalised 2023-24 9 Solutions To avoid bends, as well as, the toxic effects of high concentrations of nitrogen in the blood, the tanks used by scuba divers are filled with air diluted with helium (11 7% helium, 56 2% nitrogen and 32 1% oxygen)
1
843-846
7% helium, 56 2% nitrogen and 32 1% oxygen) · At high altitudes the partial pressure of oxygen is less than that at the ground level
1
844-847
2% nitrogen and 32 1% oxygen) · At high altitudes the partial pressure of oxygen is less than that at the ground level This leads to low concentrations of oxygen in the blood and tissues of people living at high altitudes or climbers
1
845-848
1% oxygen) · At high altitudes the partial pressure of oxygen is less than that at the ground level This leads to low concentrations of oxygen in the blood and tissues of people living at high altitudes or climbers Low blood oxygen causes climbers to become weak and unable to think clearly, symptoms of a condition known as anoxia
1
846-849
· At high altitudes the partial pressure of oxygen is less than that at the ground level This leads to low concentrations of oxygen in the blood and tissues of people living at high altitudes or climbers Low blood oxygen causes climbers to become weak and unable to think clearly, symptoms of a condition known as anoxia Effect of Temperature Solubility of gases in liquids decreases with rise in temperature
1
847-850
This leads to low concentrations of oxygen in the blood and tissues of people living at high altitudes or climbers Low blood oxygen causes climbers to become weak and unable to think clearly, symptoms of a condition known as anoxia Effect of Temperature Solubility of gases in liquids decreases with rise in temperature When dissolved, the gas molecules are present in liquid phase and the process of dissolution can be considered similar to condensation and heat is evolved in this process
1
848-851
Low blood oxygen causes climbers to become weak and unable to think clearly, symptoms of a condition known as anoxia Effect of Temperature Solubility of gases in liquids decreases with rise in temperature When dissolved, the gas molecules are present in liquid phase and the process of dissolution can be considered similar to condensation and heat is evolved in this process We have learnt in the last Section that dissolution process involves dynamic equilibrium and thus must follow Le Chatelier’s Principle
1
849-852
Effect of Temperature Solubility of gases in liquids decreases with rise in temperature When dissolved, the gas molecules are present in liquid phase and the process of dissolution can be considered similar to condensation and heat is evolved in this process We have learnt in the last Section that dissolution process involves dynamic equilibrium and thus must follow Le Chatelier’s Principle As dissolution is an exothermic process, the solubility should decrease with increase of temperature
1
850-853
When dissolved, the gas molecules are present in liquid phase and the process of dissolution can be considered similar to condensation and heat is evolved in this process We have learnt in the last Section that dissolution process involves dynamic equilibrium and thus must follow Le Chatelier’s Principle As dissolution is an exothermic process, the solubility should decrease with increase of temperature Liquid solutions are formed when solvent is a liquid
1
851-854
We have learnt in the last Section that dissolution process involves dynamic equilibrium and thus must follow Le Chatelier’s Principle As dissolution is an exothermic process, the solubility should decrease with increase of temperature Liquid solutions are formed when solvent is a liquid The solute can be a gas, a liquid or a solid
1
852-855
As dissolution is an exothermic process, the solubility should decrease with increase of temperature Liquid solutions are formed when solvent is a liquid The solute can be a gas, a liquid or a solid Solutions of gases in liquids have already been discussed in Section 1
1
853-856
Liquid solutions are formed when solvent is a liquid The solute can be a gas, a liquid or a solid Solutions of gases in liquids have already been discussed in Section 1 3
1
854-857
The solute can be a gas, a liquid or a solid Solutions of gases in liquids have already been discussed in Section 1 3 2
1
855-858
Solutions of gases in liquids have already been discussed in Section 1 3 2 In this Section, we shall discuss the solutions of liquids and solids in a liquid
1
856-859
3 2 In this Section, we shall discuss the solutions of liquids and solids in a liquid Such solutions may contain one or more volatile components
1
857-860
2 In this Section, we shall discuss the solutions of liquids and solids in a liquid Such solutions may contain one or more volatile components Generally, the liquid solvent is volatile
1
858-861
In this Section, we shall discuss the solutions of liquids and solids in a liquid Such solutions may contain one or more volatile components Generally, the liquid solvent is volatile The solute may or may not be volatile
1
859-862
Such solutions may contain one or more volatile components Generally, the liquid solvent is volatile The solute may or may not be volatile We shall discuss the properties of only binary solutions, that is, the solutions containing two components, namely, the solutions of (i) liquids in liquids and (ii) solids in liquids
1
860-863
Generally, the liquid solvent is volatile The solute may or may not be volatile We shall discuss the properties of only binary solutions, that is, the solutions containing two components, namely, the solutions of (i) liquids in liquids and (ii) solids in liquids Let us consider a binary solution of two volatile liquids and denote the two components as 1 and 2
1
861-864
The solute may or may not be volatile We shall discuss the properties of only binary solutions, that is, the solutions containing two components, namely, the solutions of (i) liquids in liquids and (ii) solids in liquids Let us consider a binary solution of two volatile liquids and denote the two components as 1 and 2 When taken in a closed vessel, both the components would evaporate and eventually an equilibrium would be established between vapour phase and the liquid phase
1
862-865
We shall discuss the properties of only binary solutions, that is, the solutions containing two components, namely, the solutions of (i) liquids in liquids and (ii) solids in liquids Let us consider a binary solution of two volatile liquids and denote the two components as 1 and 2 When taken in a closed vessel, both the components would evaporate and eventually an equilibrium would be established between vapour phase and the liquid phase Let the total vapour pressure at this stage be ptotal and p1 and p2 be the partial vapour pressures of the two components 1 and 2 respectively
1
863-866
Let us consider a binary solution of two volatile liquids and denote the two components as 1 and 2 When taken in a closed vessel, both the components would evaporate and eventually an equilibrium would be established between vapour phase and the liquid phase Let the total vapour pressure at this stage be ptotal and p1 and p2 be the partial vapour pressures of the two components 1 and 2 respectively These partial pressures are related to the mole fractions x1 and x2 of the two components 1 and 2 respectively
1
864-867
When taken in a closed vessel, both the components would evaporate and eventually an equilibrium would be established between vapour phase and the liquid phase Let the total vapour pressure at this stage be ptotal and p1 and p2 be the partial vapour pressures of the two components 1 and 2 respectively These partial pressures are related to the mole fractions x1 and x2 of the two components 1 and 2 respectively The French chemist, Francois Marte Raoult (1886) gave the quantitative relationship between them
1
865-868
Let the total vapour pressure at this stage be ptotal and p1 and p2 be the partial vapour pressures of the two components 1 and 2 respectively These partial pressures are related to the mole fractions x1 and x2 of the two components 1 and 2 respectively The French chemist, Francois Marte Raoult (1886) gave the quantitative relationship between them The relationship is known as the Raoult’s law which states that for a solution of volatile liquids, 1
1
866-869
These partial pressures are related to the mole fractions x1 and x2 of the two components 1 and 2 respectively The French chemist, Francois Marte Raoult (1886) gave the quantitative relationship between them The relationship is known as the Raoult’s law which states that for a solution of volatile liquids, 1 4 1
1
867-870
The French chemist, Francois Marte Raoult (1886) gave the quantitative relationship between them The relationship is known as the Raoult’s law which states that for a solution of volatile liquids, 1 4 1 4 1
1
868-871
The relationship is known as the Raoult’s law which states that for a solution of volatile liquids, 1 4 1 4 1 4 1
1
869-872
4 1 4 1 4 1 4 1
1
870-873
4 1 4 1 4 1 4 Vapour Vapour Vapour Vapour Vapour Pressure of Pressure of Pressure of Pressure of Pressure of Liquid Liquid Liquid Liquid Liquid Solutions Solutions Solutions Solutions Solutions Intext Questions Intext Questions Intext Questions Intext Questions Intext Questions 1
1
871-874
4 1 4 1 4 Vapour Vapour Vapour Vapour Vapour Pressure of Pressure of Pressure of Pressure of Pressure of Liquid Liquid Liquid Liquid Liquid Solutions Solutions Solutions Solutions Solutions Intext Questions Intext Questions Intext Questions Intext Questions Intext Questions 1 6 H2S, a toxic gas with rotten egg like smell, is used for the qualitative analysis
1
872-875
4 1 4 Vapour Vapour Vapour Vapour Vapour Pressure of Pressure of Pressure of Pressure of Pressure of Liquid Liquid Liquid Liquid Liquid Solutions Solutions Solutions Solutions Solutions Intext Questions Intext Questions Intext Questions Intext Questions Intext Questions 1 6 H2S, a toxic gas with rotten egg like smell, is used for the qualitative analysis If the solubility of H2S in water at STP is 0
1
873-876
4 Vapour Vapour Vapour Vapour Vapour Pressure of Pressure of Pressure of Pressure of Pressure of Liquid Liquid Liquid Liquid Liquid Solutions Solutions Solutions Solutions Solutions Intext Questions Intext Questions Intext Questions Intext Questions Intext Questions 1 6 H2S, a toxic gas with rotten egg like smell, is used for the qualitative analysis If the solubility of H2S in water at STP is 0 195 m, calculate Henry’s law constant
1
874-877
6 H2S, a toxic gas with rotten egg like smell, is used for the qualitative analysis If the solubility of H2S in water at STP is 0 195 m, calculate Henry’s law constant 1
1
875-878
If the solubility of H2S in water at STP is 0 195 m, calculate Henry’s law constant 1 7 Henry’s law constant for CO2 in water is 1
1
876-879
195 m, calculate Henry’s law constant 1 7 Henry’s law constant for CO2 in water is 1 67×108 Pa at 298 K
1
877-880
1 7 Henry’s law constant for CO2 in water is 1 67×108 Pa at 298 K Calculate the quantity of CO2 in 500 mL of soda water when packed under 2
1
878-881
7 Henry’s law constant for CO2 in water is 1 67×108 Pa at 298 K Calculate the quantity of CO2 in 500 mL of soda water when packed under 2 5 atm CO2 pressure at 298 K
1
879-882
67×108 Pa at 298 K Calculate the quantity of CO2 in 500 mL of soda water when packed under 2 5 atm CO2 pressure at 298 K 1
1
880-883
Calculate the quantity of CO2 in 500 mL of soda water when packed under 2 5 atm CO2 pressure at 298 K 1 4
1
881-884
5 atm CO2 pressure at 298 K 1 4 1 Vapour Pressure of Liquid- Liquid Solutions Rationalised 2023-24 10 Chemistry the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in solution
1
882-885
1 4 1 Vapour Pressure of Liquid- Liquid Solutions Rationalised 2023-24 10 Chemistry the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in solution Thus, for component 1 p1 µ x1 and p1 = 10 p x1 (1
1
883-886
4 1 Vapour Pressure of Liquid- Liquid Solutions Rationalised 2023-24 10 Chemistry the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in solution Thus, for component 1 p1 µ x1 and p1 = 10 p x1 (1 12) where 10 p is the vapour pressure of pure component 1 at the same temperature
1
884-887
1 Vapour Pressure of Liquid- Liquid Solutions Rationalised 2023-24 10 Chemistry the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in solution Thus, for component 1 p1 µ x1 and p1 = 10 p x1 (1 12) where 10 p is the vapour pressure of pure component 1 at the same temperature Similarly, for component 2 p2 = p2 0 x2 (1
1
885-888
Thus, for component 1 p1 µ x1 and p1 = 10 p x1 (1 12) where 10 p is the vapour pressure of pure component 1 at the same temperature Similarly, for component 2 p2 = p2 0 x2 (1 13) where p2 0 represents the vapour pressure of the pure component 2
1
886-889
12) where 10 p is the vapour pressure of pure component 1 at the same temperature Similarly, for component 2 p2 = p2 0 x2 (1 13) where p2 0 represents the vapour pressure of the pure component 2 According to Dalton’s law of partial pressures, the total pressure ( ptotal ) over the solution phase in the container will be the sum of the partial pressures of the components of the solution and is given as: ptotal = p1 + p2 (1
1
887-890
Similarly, for component 2 p2 = p2 0 x2 (1 13) where p2 0 represents the vapour pressure of the pure component 2 According to Dalton’s law of partial pressures, the total pressure ( ptotal ) over the solution phase in the container will be the sum of the partial pressures of the components of the solution and is given as: ptotal = p1 + p2 (1 14) Substituting the values of p1 and p2, we get ptotal = x1 p1 0 + x2 p2 0 = (1 – x2) p1 0 + x2 p2 0 (1
1
888-891
13) where p2 0 represents the vapour pressure of the pure component 2 According to Dalton’s law of partial pressures, the total pressure ( ptotal ) over the solution phase in the container will be the sum of the partial pressures of the components of the solution and is given as: ptotal = p1 + p2 (1 14) Substituting the values of p1 and p2, we get ptotal = x1 p1 0 + x2 p2 0 = (1 – x2) p1 0 + x2 p2 0 (1 15) = p1 0 + (p2 0 – p1 0) x2 (1
1
889-892
According to Dalton’s law of partial pressures, the total pressure ( ptotal ) over the solution phase in the container will be the sum of the partial pressures of the components of the solution and is given as: ptotal = p1 + p2 (1 14) Substituting the values of p1 and p2, we get ptotal = x1 p1 0 + x2 p2 0 = (1 – x2) p1 0 + x2 p2 0 (1 15) = p1 0 + (p2 0 – p1 0) x2 (1 16) Following conclusions can be drawn from equation (1
1
890-893
14) Substituting the values of p1 and p2, we get ptotal = x1 p1 0 + x2 p2 0 = (1 – x2) p1 0 + x2 p2 0 (1 15) = p1 0 + (p2 0 – p1 0) x2 (1 16) Following conclusions can be drawn from equation (1 16)
1
891-894
15) = p1 0 + (p2 0 – p1 0) x2 (1 16) Following conclusions can be drawn from equation (1 16) (i) Total vapour pressure over the solution can be related to the mole fraction of any one component
1
892-895
16) Following conclusions can be drawn from equation (1 16) (i) Total vapour pressure over the solution can be related to the mole fraction of any one component (ii) Total vapour pressure over the solution varies linearly with the mole fraction of component 2
1
893-896
16) (i) Total vapour pressure over the solution can be related to the mole fraction of any one component (ii) Total vapour pressure over the solution varies linearly with the mole fraction of component 2 (iii) Depending on the vapour pressures of the pure components 1 and 2, total vapour pressure over the solution decreases or increases with the increase of the mole fraction of component 1
1
894-897
(i) Total vapour pressure over the solution can be related to the mole fraction of any one component (ii) Total vapour pressure over the solution varies linearly with the mole fraction of component 2 (iii) Depending on the vapour pressures of the pure components 1 and 2, total vapour pressure over the solution decreases or increases with the increase of the mole fraction of component 1 A plot of p1 or p2 versus the mole fractions x1 and x2 for a solution gives a linear plot as shown in Fig
1
895-898
(ii) Total vapour pressure over the solution varies linearly with the mole fraction of component 2 (iii) Depending on the vapour pressures of the pure components 1 and 2, total vapour pressure over the solution decreases or increases with the increase of the mole fraction of component 1 A plot of p1 or p2 versus the mole fractions x1 and x2 for a solution gives a linear plot as shown in Fig 1
1
896-899
(iii) Depending on the vapour pressures of the pure components 1 and 2, total vapour pressure over the solution decreases or increases with the increase of the mole fraction of component 1 A plot of p1 or p2 versus the mole fractions x1 and x2 for a solution gives a linear plot as shown in Fig 1 3
1
897-900
A plot of p1 or p2 versus the mole fractions x1 and x2 for a solution gives a linear plot as shown in Fig 1 3 These lines (I and II) pass through the points for which x1 and x2 are equal to unity
1
898-901
1 3 These lines (I and II) pass through the points for which x1 and x2 are equal to unity Similarly the plot (line III) of ptotal versus x2 is also linear (Fig
1
899-902
3 These lines (I and II) pass through the points for which x1 and x2 are equal to unity Similarly the plot (line III) of ptotal versus x2 is also linear (Fig 1
1
900-903
These lines (I and II) pass through the points for which x1 and x2 are equal to unity Similarly the plot (line III) of ptotal versus x2 is also linear (Fig 1 3)
1
901-904
Similarly the plot (line III) of ptotal versus x2 is also linear (Fig 1 3) The minimum value of ptotal is p1 0 and the maximum value is p2 0, assuming that component 1 is less volatile than component 2, i
1
902-905
1 3) The minimum value of ptotal is p1 0 and the maximum value is p2 0, assuming that component 1 is less volatile than component 2, i e
1
903-906
3) The minimum value of ptotal is p1 0 and the maximum value is p2 0, assuming that component 1 is less volatile than component 2, i e , p1 0 < p2 The composition of vapour phase in0
1
904-907
The minimum value of ptotal is p1 0 and the maximum value is p2 0, assuming that component 1 is less volatile than component 2, i e , p1 0 < p2 The composition of vapour phase in0 equilibrium with the solution is determined by the partial pressures of the components