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2205-2208
3) and at different temperatures The cell constant, G*, is then given by the equation: G* = l A = R k (2 18) Once the cell constant is determined, we can use it for measuring the resistance or conductivity of any solution The set up for the measurement of the resistance is shown in Fig
1
2206-2209
The cell constant, G*, is then given by the equation: G* = l A = R k (2 18) Once the cell constant is determined, we can use it for measuring the resistance or conductivity of any solution The set up for the measurement of the resistance is shown in Fig 2
1
2207-2210
18) Once the cell constant is determined, we can use it for measuring the resistance or conductivity of any solution The set up for the measurement of the resistance is shown in Fig 2 5
1
2208-2211
The set up for the measurement of the resistance is shown in Fig 2 5 It consists of two resistances R3 and R4, a variable resistance R1 and the conductivity cell having the unknown resistance R2
1
2209-2212
2 5 It consists of two resistances R3 and R4, a variable resistance R1 and the conductivity cell having the unknown resistance R2 The Wheatstone bridge is fed by an oscillator O (a source of a
1
2210-2213
5 It consists of two resistances R3 and R4, a variable resistance R1 and the conductivity cell having the unknown resistance R2 The Wheatstone bridge is fed by an oscillator O (a source of a c
1
2211-2214
It consists of two resistances R3 and R4, a variable resistance R1 and the conductivity cell having the unknown resistance R2 The Wheatstone bridge is fed by an oscillator O (a source of a c power in the audio frequency range 550 to 5000 cycles per second)
1
2212-2215
The Wheatstone bridge is fed by an oscillator O (a source of a c power in the audio frequency range 550 to 5000 cycles per second) P is a suitable detector (a headphone or other electronic device) and the bridge is balanced when no current passes through the detector
1
2213-2216
c power in the audio frequency range 550 to 5000 cycles per second) P is a suitable detector (a headphone or other electronic device) and the bridge is balanced when no current passes through the detector Under these conditions: Unknown resistance R2 = 1 4 3 R R R (2
1
2214-2217
power in the audio frequency range 550 to 5000 cycles per second) P is a suitable detector (a headphone or other electronic device) and the bridge is balanced when no current passes through the detector Under these conditions: Unknown resistance R2 = 1 4 3 R R R (2 19) These days, inexpensive conductivity meters are available which can directly read the conductance or resistance of the solution in the conductivity cell
1
2215-2218
P is a suitable detector (a headphone or other electronic device) and the bridge is balanced when no current passes through the detector Under these conditions: Unknown resistance R2 = 1 4 3 R R R (2 19) These days, inexpensive conductivity meters are available which can directly read the conductance or resistance of the solution in the conductivity cell Once the cell constant and the resistance of the solution in the cell is determined, the conductivity of the solution is given by the equation: cell constant G* R R    (2
1
2216-2219
Under these conditions: Unknown resistance R2 = 1 4 3 R R R (2 19) These days, inexpensive conductivity meters are available which can directly read the conductance or resistance of the solution in the conductivity cell Once the cell constant and the resistance of the solution in the cell is determined, the conductivity of the solution is given by the equation: cell constant G* R R    (2 20) The conductivity of solutions of different electrolytes in the same solvent and at a given temperature differs due to charge and size of the Fig
1
2217-2220
19) These days, inexpensive conductivity meters are available which can directly read the conductance or resistance of the solution in the conductivity cell Once the cell constant and the resistance of the solution in the cell is determined, the conductivity of the solution is given by the equation: cell constant G* R R    (2 20) The conductivity of solutions of different electrolytes in the same solvent and at a given temperature differs due to charge and size of the Fig 2
1
2218-2221
Once the cell constant and the resistance of the solution in the cell is determined, the conductivity of the solution is given by the equation: cell constant G* R R    (2 20) The conductivity of solutions of different electrolytes in the same solvent and at a given temperature differs due to charge and size of the Fig 2 5: Arrangement for measurement of resistance of a solution of an electrolyte
1
2219-2222
20) The conductivity of solutions of different electrolytes in the same solvent and at a given temperature differs due to charge and size of the Fig 2 5: Arrangement for measurement of resistance of a solution of an electrolyte Rationalised 2023-24 45 Electrochemistry ions in which they dissociate, the concentration of ions or ease with which the ions move under a potential gradient
1
2220-2223
2 5: Arrangement for measurement of resistance of a solution of an electrolyte Rationalised 2023-24 45 Electrochemistry ions in which they dissociate, the concentration of ions or ease with which the ions move under a potential gradient It, therefore, becomes necessary to define a physically more meaningful quantity called molar conductivity denoted by the symbol Lm (Greek, lambda)
1
2221-2224
5: Arrangement for measurement of resistance of a solution of an electrolyte Rationalised 2023-24 45 Electrochemistry ions in which they dissociate, the concentration of ions or ease with which the ions move under a potential gradient It, therefore, becomes necessary to define a physically more meaningful quantity called molar conductivity denoted by the symbol Lm (Greek, lambda) It is related to the conductivity of the solution by the equation: Molar conductivity = Lm = c  (2
1
2222-2225
Rationalised 2023-24 45 Electrochemistry ions in which they dissociate, the concentration of ions or ease with which the ions move under a potential gradient It, therefore, becomes necessary to define a physically more meaningful quantity called molar conductivity denoted by the symbol Lm (Greek, lambda) It is related to the conductivity of the solution by the equation: Molar conductivity = Lm = c  (2 21) In the above equation, if k is expressed in S m–1 and the concentration, c in mol m–3 then the units of Lm are in S m2 mol–1
1
2223-2226
It, therefore, becomes necessary to define a physically more meaningful quantity called molar conductivity denoted by the symbol Lm (Greek, lambda) It is related to the conductivity of the solution by the equation: Molar conductivity = Lm = c  (2 21) In the above equation, if k is expressed in S m–1 and the concentration, c in mol m–3 then the units of Lm are in S m2 mol–1 It may be noted that: 1 mol m–3 = 1000(L/m3) × molarity (mol/L), and hence Lm(S cm2 mol–1) =     1 3 1 (S cm ) 1000 L m × molarity (mol L ) If we use S cm–1 as the units for k and mol cm–3, the units of concentration, then the units for Lm are S cm2 mol–1
1
2224-2227
It is related to the conductivity of the solution by the equation: Molar conductivity = Lm = c  (2 21) In the above equation, if k is expressed in S m–1 and the concentration, c in mol m–3 then the units of Lm are in S m2 mol–1 It may be noted that: 1 mol m–3 = 1000(L/m3) × molarity (mol/L), and hence Lm(S cm2 mol–1) =     1 3 1 (S cm ) 1000 L m × molarity (mol L ) If we use S cm–1 as the units for k and mol cm–3, the units of concentration, then the units for Lm are S cm2 mol–1 It can be calculated by using the equation: Lm (S cm2 mol–1) = 1 3 (S cm ) × 1000 (cm /L) molarity (mol/L)   Both type of units are used in literature and are related to each other by the equations: 1 S m2mol–1 = 104 S cm2mol–1 or 1 S cm2mol–1 = 10–4 S m2mol–1
1
2225-2228
21) In the above equation, if k is expressed in S m–1 and the concentration, c in mol m–3 then the units of Lm are in S m2 mol–1 It may be noted that: 1 mol m–3 = 1000(L/m3) × molarity (mol/L), and hence Lm(S cm2 mol–1) =     1 3 1 (S cm ) 1000 L m × molarity (mol L ) If we use S cm–1 as the units for k and mol cm–3, the units of concentration, then the units for Lm are S cm2 mol–1 It can be calculated by using the equation: Lm (S cm2 mol–1) = 1 3 (S cm ) × 1000 (cm /L) molarity (mol/L)   Both type of units are used in literature and are related to each other by the equations: 1 S m2mol–1 = 104 S cm2mol–1 or 1 S cm2mol–1 = 10–4 S m2mol–1 Resistance of a conductivity cell filled with 0
1
2226-2229
It may be noted that: 1 mol m–3 = 1000(L/m3) × molarity (mol/L), and hence Lm(S cm2 mol–1) =     1 3 1 (S cm ) 1000 L m × molarity (mol L ) If we use S cm–1 as the units for k and mol cm–3, the units of concentration, then the units for Lm are S cm2 mol–1 It can be calculated by using the equation: Lm (S cm2 mol–1) = 1 3 (S cm ) × 1000 (cm /L) molarity (mol/L)   Both type of units are used in literature and are related to each other by the equations: 1 S m2mol–1 = 104 S cm2mol–1 or 1 S cm2mol–1 = 10–4 S m2mol–1 Resistance of a conductivity cell filled with 0 1 mol L–1 KCl solution is 100 W
1
2227-2230
It can be calculated by using the equation: Lm (S cm2 mol–1) = 1 3 (S cm ) × 1000 (cm /L) molarity (mol/L)   Both type of units are used in literature and are related to each other by the equations: 1 S m2mol–1 = 104 S cm2mol–1 or 1 S cm2mol–1 = 10–4 S m2mol–1 Resistance of a conductivity cell filled with 0 1 mol L–1 KCl solution is 100 W If the resistance of the same cell when filled with 0
1
2228-2231
Resistance of a conductivity cell filled with 0 1 mol L–1 KCl solution is 100 W If the resistance of the same cell when filled with 0 02 mol L–1 KCl solution is 520 W , calculate the conductivity and molar conductivity of 0
1
2229-2232
1 mol L–1 KCl solution is 100 W If the resistance of the same cell when filled with 0 02 mol L–1 KCl solution is 520 W , calculate the conductivity and molar conductivity of 0 02 mol L–1 KCl solution
1
2230-2233
If the resistance of the same cell when filled with 0 02 mol L–1 KCl solution is 520 W , calculate the conductivity and molar conductivity of 0 02 mol L–1 KCl solution The conductivity of 0
1
2231-2234
02 mol L–1 KCl solution is 520 W , calculate the conductivity and molar conductivity of 0 02 mol L–1 KCl solution The conductivity of 0 1 mol L–1 KCl solution is 1
1
2232-2235
02 mol L–1 KCl solution The conductivity of 0 1 mol L–1 KCl solution is 1 29 S/m
1
2233-2236
The conductivity of 0 1 mol L–1 KCl solution is 1 29 S/m The cell constant is given by the equation: Cell constant = G* = conductivity × resistance = 1
1
2234-2237
1 mol L–1 KCl solution is 1 29 S/m The cell constant is given by the equation: Cell constant = G* = conductivity × resistance = 1 29 S/m × 100 W = 129 m–1 = 1
1
2235-2238
29 S/m The cell constant is given by the equation: Cell constant = G* = conductivity × resistance = 1 29 S/m × 100 W = 129 m–1 = 1 29 cm–1 Conductivity of 0
1
2236-2239
The cell constant is given by the equation: Cell constant = G* = conductivity × resistance = 1 29 S/m × 100 W = 129 m–1 = 1 29 cm–1 Conductivity of 0 02 mol L–1 KCl solution = cell constant / resistance = G* R = 129 m–1 520  = 0
1
2237-2240
29 S/m × 100 W = 129 m–1 = 1 29 cm–1 Conductivity of 0 02 mol L–1 KCl solution = cell constant / resistance = G* R = 129 m–1 520  = 0 248 S m–1 Concentration = 0
1
2238-2241
29 cm–1 Conductivity of 0 02 mol L–1 KCl solution = cell constant / resistance = G* R = 129 m–1 520  = 0 248 S m–1 Concentration = 0 02 mol L–1 = 1000 × 0
1
2239-2242
02 mol L–1 KCl solution = cell constant / resistance = G* R = 129 m–1 520  = 0 248 S m–1 Concentration = 0 02 mol L–1 = 1000 × 0 02 mol m–3 = 20 mol m–3 Molar conductivity =  m c  = –3 –1 –3 248 × 10 S m 20 mol m = 124 × 10–4 S m2mol–1 Alternatively, k = 1
1
2240-2243
248 S m–1 Concentration = 0 02 mol L–1 = 1000 × 0 02 mol m–3 = 20 mol m–3 Molar conductivity =  m c  = –3 –1 –3 248 × 10 S m 20 mol m = 124 × 10–4 S m2mol–1 Alternatively, k = 1 29 cm–1 520  = 0
1
2241-2244
02 mol L–1 = 1000 × 0 02 mol m–3 = 20 mol m–3 Molar conductivity =  m c  = –3 –1 –3 248 × 10 S m 20 mol m = 124 × 10–4 S m2mol–1 Alternatively, k = 1 29 cm–1 520  = 0 248 × 10–2 S cm–1 Example 2
1
2242-2245
02 mol m–3 = 20 mol m–3 Molar conductivity =  m c  = –3 –1 –3 248 × 10 S m 20 mol m = 124 × 10–4 S m2mol–1 Alternatively, k = 1 29 cm–1 520  = 0 248 × 10–2 S cm–1 Example 2 4 Example 2
1
2243-2246
29 cm–1 520  = 0 248 × 10–2 S cm–1 Example 2 4 Example 2 4 Example 2
1
2244-2247
248 × 10–2 S cm–1 Example 2 4 Example 2 4 Example 2 4 Example 2
1
2245-2248
4 Example 2 4 Example 2 4 Example 2 4 Example 2
1
2246-2249
4 Example 2 4 Example 2 4 Example 2 4 Solution Solution Solution Solution Solution Rationalised 2023-24 46 Chemistry and Lm = k × 1000 cm3 L–1 molarity–1 –2 –1 3 –1 –1 0
1
2247-2250
4 Example 2 4 Example 2 4 Solution Solution Solution Solution Solution Rationalised 2023-24 46 Chemistry and Lm = k × 1000 cm3 L–1 molarity–1 –2 –1 3 –1 –1 0 248×10 S cm ×1000 cm L = 0
1
2248-2251
4 Example 2 4 Solution Solution Solution Solution Solution Rationalised 2023-24 46 Chemistry and Lm = k × 1000 cm3 L–1 molarity–1 –2 –1 3 –1 –1 0 248×10 S cm ×1000 cm L = 0 02 mol L = 124 S cm2 mol–1 The electrical resistance of a column of 0
1
2249-2252
4 Solution Solution Solution Solution Solution Rationalised 2023-24 46 Chemistry and Lm = k × 1000 cm3 L–1 molarity–1 –2 –1 3 –1 –1 0 248×10 S cm ×1000 cm L = 0 02 mol L = 124 S cm2 mol–1 The electrical resistance of a column of 0 05 mol L–1 NaOH solution of diameter 1 cm and length 50 cm is 5
1
2250-2253
248×10 S cm ×1000 cm L = 0 02 mol L = 124 S cm2 mol–1 The electrical resistance of a column of 0 05 mol L–1 NaOH solution of diameter 1 cm and length 50 cm is 5 55 × 103 ohm
1
2251-2254
02 mol L = 124 S cm2 mol–1 The electrical resistance of a column of 0 05 mol L–1 NaOH solution of diameter 1 cm and length 50 cm is 5 55 × 103 ohm Calculate its resistivity, conductivity and molar conductivity
1
2252-2255
05 mol L–1 NaOH solution of diameter 1 cm and length 50 cm is 5 55 × 103 ohm Calculate its resistivity, conductivity and molar conductivity A = p r2 = 3
1
2253-2256
55 × 103 ohm Calculate its resistivity, conductivity and molar conductivity A = p r2 = 3 14 × 0
1
2254-2257
Calculate its resistivity, conductivity and molar conductivity A = p r2 = 3 14 × 0 52 cm2 = 0
1
2255-2258
A = p r2 = 3 14 × 0 52 cm2 = 0 785 cm2 = 0
1
2256-2259
14 × 0 52 cm2 = 0 785 cm2 = 0 785 × 10–4 m2 l = 50 cm = 0
1
2257-2260
52 cm2 = 0 785 cm2 = 0 785 × 10–4 m2 l = 50 cm = 0 5 m = l R A or       3 2 5
1
2258-2261
785 cm2 = 0 785 × 10–4 m2 l = 50 cm = 0 5 m = l R A or       3 2 5 55 10 0
1
2259-2262
785 × 10–4 m2 l = 50 cm = 0 5 m = l R A or       3 2 5 55 10 0 785cm 50cm RA l = 87
1
2260-2263
5 m = l R A or       3 2 5 55 10 0 785cm 50cm RA l = 87 135 W cm Conductivity =  = 1 = 1 87
1
2261-2264
55 10 0 785cm 50cm RA l = 87 135 W cm Conductivity =  = 1 = 1 87 135       S cm–1 = 0
1
2262-2265
785cm 50cm RA l = 87 135 W cm Conductivity =  = 1 = 1 87 135       S cm–1 = 0 01148 S cm–1 Molar conductivity, m = × 1000 c  cm3 L–1 = –1 3 –1 –1 0
1
2263-2266
135 W cm Conductivity =  = 1 = 1 87 135       S cm–1 = 0 01148 S cm–1 Molar conductivity, m = × 1000 c  cm3 L–1 = –1 3 –1 –1 0 01148 S cm ×1000 cm L 0
1
2264-2267
135       S cm–1 = 0 01148 S cm–1 Molar conductivity, m = × 1000 c  cm3 L–1 = –1 3 –1 –1 0 01148 S cm ×1000 cm L 0 05 mol L = 229
1
2265-2268
01148 S cm–1 Molar conductivity, m = × 1000 c  cm3 L–1 = –1 3 –1 –1 0 01148 S cm ×1000 cm L 0 05 mol L = 229 6 S cm2 mol–1 If we want to calculate the values of different quantities in terms of ‘m’ instead of ‘cm’,  = RA l = 3 –4 2 5
1
2266-2269
01148 S cm ×1000 cm L 0 05 mol L = 229 6 S cm2 mol–1 If we want to calculate the values of different quantities in terms of ‘m’ instead of ‘cm’,  = RA l = 3 –4 2 5 55 × 10 × 0
1
2267-2270
05 mol L = 229 6 S cm2 mol–1 If we want to calculate the values of different quantities in terms of ‘m’ instead of ‘cm’,  = RA l = 3 –4 2 5 55 × 10 × 0 785×10 m 0
1
2268-2271
6 S cm2 mol–1 If we want to calculate the values of different quantities in terms of ‘m’ instead of ‘cm’,  = RA l = 3 –4 2 5 55 × 10 × 0 785×10 m 0 5 m = 87
1
2269-2272
55 × 10 × 0 785×10 m 0 5 m = 87 135 ×10–2 W m  = 1  = 100 87
1
2270-2273
785×10 m 0 5 m = 87 135 ×10–2 W m  = 1  = 100 87 135  m = 1
1
2271-2274
5 m = 87 135 ×10–2 W m  = 1  = 100 87 135  m = 1 148 S m–1 and m = c  = –1 1
1
2272-2275
135 ×10–2 W m  = 1  = 100 87 135  m = 1 148 S m–1 and m = c  = –1 1 148 S m–3 50 mol m = 229
1
2273-2276
135  m = 1 148 S m–1 and m = c  = –1 1 148 S m–3 50 mol m = 229 6 × 10–4 S m2 mol–1
1
2274-2277
148 S m–1 and m = c  = –1 1 148 S m–3 50 mol m = 229 6 × 10–4 S m2 mol–1 Example 2
1
2275-2278
148 S m–3 50 mol m = 229 6 × 10–4 S m2 mol–1 Example 2 5 Example 2
1
2276-2279
6 × 10–4 S m2 mol–1 Example 2 5 Example 2 5 Example 2
1
2277-2280
Example 2 5 Example 2 5 Example 2 5 Example 2
1
2278-2281
5 Example 2 5 Example 2 5 Example 2 5 Example 2
1
2279-2282
5 Example 2 5 Example 2 5 Example 2 5 Solution Solution Solution Solution Solution Both conductivity and molar conductivity change with the concentration of the electrolyte
1
2280-2283
5 Example 2 5 Example 2 5 Solution Solution Solution Solution Solution Both conductivity and molar conductivity change with the concentration of the electrolyte Conductivity always decreases with decrease in concentration both, for weak and strong electrolytes
1
2281-2284
5 Example 2 5 Solution Solution Solution Solution Solution Both conductivity and molar conductivity change with the concentration of the electrolyte Conductivity always decreases with decrease in concentration both, for weak and strong electrolytes This can be explained by the fact that the number of ions per unit volume that carry the current in a solution decreases on dilution
1
2282-2285
5 Solution Solution Solution Solution Solution Both conductivity and molar conductivity change with the concentration of the electrolyte Conductivity always decreases with decrease in concentration both, for weak and strong electrolytes This can be explained by the fact that the number of ions per unit volume that carry the current in a solution decreases on dilution The conductivity of a solution at any given concentration is the conductance of one unit volume of solution kept between two 2
1
2283-2286
Conductivity always decreases with decrease in concentration both, for weak and strong electrolytes This can be explained by the fact that the number of ions per unit volume that carry the current in a solution decreases on dilution The conductivity of a solution at any given concentration is the conductance of one unit volume of solution kept between two 2 4
1
2284-2287
This can be explained by the fact that the number of ions per unit volume that carry the current in a solution decreases on dilution The conductivity of a solution at any given concentration is the conductance of one unit volume of solution kept between two 2 4 2 Variation of Conductivity and Molar Conductivity with Concentration Rationalised 2023-24 47 Electrochemistry platinum electrodes with unit area of cross section and at a distance of unit length
1
2285-2288
The conductivity of a solution at any given concentration is the conductance of one unit volume of solution kept between two 2 4 2 Variation of Conductivity and Molar Conductivity with Concentration Rationalised 2023-24 47 Electrochemistry platinum electrodes with unit area of cross section and at a distance of unit length This is clear from the equation: = A = G   l (both A and l are unity in their appropriate units in m or cm) Molar conductivity of a solution at a given concentration is the conductance of the volume V of solution containing one mole of electrolyte kept between two electrodes with area of cross section A and distance of unit length
1
2286-2289
4 2 Variation of Conductivity and Molar Conductivity with Concentration Rationalised 2023-24 47 Electrochemistry platinum electrodes with unit area of cross section and at a distance of unit length This is clear from the equation: = A = G   l (both A and l are unity in their appropriate units in m or cm) Molar conductivity of a solution at a given concentration is the conductance of the volume V of solution containing one mole of electrolyte kept between two electrodes with area of cross section A and distance of unit length Therefore, κ Λ κ = = m A l Since l = 1 and A = V ( volume containing 1 mole of electrolyte) Lm = k V (2
1
2287-2290
2 Variation of Conductivity and Molar Conductivity with Concentration Rationalised 2023-24 47 Electrochemistry platinum electrodes with unit area of cross section and at a distance of unit length This is clear from the equation: = A = G   l (both A and l are unity in their appropriate units in m or cm) Molar conductivity of a solution at a given concentration is the conductance of the volume V of solution containing one mole of electrolyte kept between two electrodes with area of cross section A and distance of unit length Therefore, κ Λ κ = = m A l Since l = 1 and A = V ( volume containing 1 mole of electrolyte) Lm = k V (2 22) Molar conductivity increases with decrease in concentration
1
2288-2291
This is clear from the equation: = A = G   l (both A and l are unity in their appropriate units in m or cm) Molar conductivity of a solution at a given concentration is the conductance of the volume V of solution containing one mole of electrolyte kept between two electrodes with area of cross section A and distance of unit length Therefore, κ Λ κ = = m A l Since l = 1 and A = V ( volume containing 1 mole of electrolyte) Lm = k V (2 22) Molar conductivity increases with decrease in concentration This is because the total volume, V, of solution containing one mole of electrolyte also increases
1
2289-2292
Therefore, κ Λ κ = = m A l Since l = 1 and A = V ( volume containing 1 mole of electrolyte) Lm = k V (2 22) Molar conductivity increases with decrease in concentration This is because the total volume, V, of solution containing one mole of electrolyte also increases It has been found that decrease in k on dilution of a solution is more than compensated by increase in its volume
1
2290-2293
22) Molar conductivity increases with decrease in concentration This is because the total volume, V, of solution containing one mole of electrolyte also increases It has been found that decrease in k on dilution of a solution is more than compensated by increase in its volume Physically, it means that at a given concentration, Lm can be defined as the conductance of the electrolytic solution kept between the electrodes of a conductivity cell at unit distance but having area of cross section large enough to accommodate sufficient volume of solution that contains one mole of the electrolyte
1
2291-2294
This is because the total volume, V, of solution containing one mole of electrolyte also increases It has been found that decrease in k on dilution of a solution is more than compensated by increase in its volume Physically, it means that at a given concentration, Lm can be defined as the conductance of the electrolytic solution kept between the electrodes of a conductivity cell at unit distance but having area of cross section large enough to accommodate sufficient volume of solution that contains one mole of the electrolyte When concentration approaches zero, the molar conductivity is known as limiting molar conductivity and is represented by the symbol L°m
1
2292-2295
It has been found that decrease in k on dilution of a solution is more than compensated by increase in its volume Physically, it means that at a given concentration, Lm can be defined as the conductance of the electrolytic solution kept between the electrodes of a conductivity cell at unit distance but having area of cross section large enough to accommodate sufficient volume of solution that contains one mole of the electrolyte When concentration approaches zero, the molar conductivity is known as limiting molar conductivity and is represented by the symbol L°m The variation in Lm with concentration is different (Fig
1
2293-2296
Physically, it means that at a given concentration, Lm can be defined as the conductance of the electrolytic solution kept between the electrodes of a conductivity cell at unit distance but having area of cross section large enough to accommodate sufficient volume of solution that contains one mole of the electrolyte When concentration approaches zero, the molar conductivity is known as limiting molar conductivity and is represented by the symbol L°m The variation in Lm with concentration is different (Fig 2
1
2294-2297
When concentration approaches zero, the molar conductivity is known as limiting molar conductivity and is represented by the symbol L°m The variation in Lm with concentration is different (Fig 2 6) for strong and weak electrolytes
1
2295-2298
The variation in Lm with concentration is different (Fig 2 6) for strong and weak electrolytes Strong Electrolytes For strong electrolytes, Lm increases slowly with dilution and can be represented by the equation: Lm = L°m – A c ½ (2
1
2296-2299
2 6) for strong and weak electrolytes Strong Electrolytes For strong electrolytes, Lm increases slowly with dilution and can be represented by the equation: Lm = L°m – A c ½ (2 23) It can be seen that if we plot (Fig
1
2297-2300
6) for strong and weak electrolytes Strong Electrolytes For strong electrolytes, Lm increases slowly with dilution and can be represented by the equation: Lm = L°m – A c ½ (2 23) It can be seen that if we plot (Fig 2
1
2298-2301
Strong Electrolytes For strong electrolytes, Lm increases slowly with dilution and can be represented by the equation: Lm = L°m – A c ½ (2 23) It can be seen that if we plot (Fig 2 6) Lm against c1/2, we obtain a straight line with intercept equal to L°m and slope equal to ‘–A’
1
2299-2302
23) It can be seen that if we plot (Fig 2 6) Lm against c1/2, we obtain a straight line with intercept equal to L°m and slope equal to ‘–A’ The value of the constant ‘A’ for a given solvent and temperature depends on the type of electrolyte i
1
2300-2303
2 6) Lm against c1/2, we obtain a straight line with intercept equal to L°m and slope equal to ‘–A’ The value of the constant ‘A’ for a given solvent and temperature depends on the type of electrolyte i e
1
2301-2304
6) Lm against c1/2, we obtain a straight line with intercept equal to L°m and slope equal to ‘–A’ The value of the constant ‘A’ for a given solvent and temperature depends on the type of electrolyte i e , the charges on the cation and anion produced on the dissociation of the electrolyte in the solution
1
2302-2305
The value of the constant ‘A’ for a given solvent and temperature depends on the type of electrolyte i e , the charges on the cation and anion produced on the dissociation of the electrolyte in the solution Thus, NaCl, CaCl2, MgSO4 are known as 1-1, 2-1 and 2-2 electrolytes respectively
1
2303-2306
e , the charges on the cation and anion produced on the dissociation of the electrolyte in the solution Thus, NaCl, CaCl2, MgSO4 are known as 1-1, 2-1 and 2-2 electrolytes respectively All electrolytes of a particular type have the same value for ‘A’
1
2304-2307
, the charges on the cation and anion produced on the dissociation of the electrolyte in the solution Thus, NaCl, CaCl2, MgSO4 are known as 1-1, 2-1 and 2-2 electrolytes respectively All electrolytes of a particular type have the same value for ‘A’ Fig