What happens to molar conductivity when 1 mole of kcl dissolved in 1litre diluted to 5 litres?
Answers
Variations Of Molar Conductivity With Concentration
Specific conductivity or conductivity of an electrolytic solution at any given concentration is the conductance of unit volume of solution kept between two platinum electrodes with unit area of cross section and at a distance of unit length. Conductivity decreases with decrease in concentration as the number of ions per unit volume that carry the current in a solution decrease on dilution. 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.
Ʌm = Кc
Here,
c = concentration in moles per volume
К = specific conductivity
Ʌm = molar conductivity.
As the solution contains only one mole of electrolyte, the above equation can be modified as:
Ʌm = КV
Molar conductivity increases with decrease in concentration as the total volume, V, of solution containing one mole of electrolyte also increases. Upon dilution the concentration decreases. When the concentration approaches zero, molar conductivity of the solution is known as limiting molar conductivity, Ë°m. Variation of molar conductivity with concentration is different for strong and weak electrolytes.
Variation of molar conductivity with concentration for strong electrolytes: For strong electrolytes the molar conductivity increases slowly with the dilution. The plot between the molar conductivity and c12 is a straight line having y-intercept equal to Ë°m. The value of limiting molar conductivity, Ë°m can be determined from the graph or with the help of Kohlrausch law. The general equation for the plot is given as:
For strong electrolytes the molar conductivity increases slowly with the dilution. The plot between the molar conductivity and c12 is a straight line having y-intercept equal to Ë°m. The value of limiting molar conductivity, Ë°m can be determined from the graph or with the help of Kohlrausch law. The general equation for the plot is given as:
Ʌm = Ë°m − Ac12
Where, −A is a constant equal to the slope of the line. For a given solvent, the value of “A” depends on type of electrolyte at a particular temperature.
Variation of molar conductivity with concentration for weak electrolyte:
For weak electrolytes, the graph plotted between molar conductivity and c12 (where c is the concentration) is not a straight line. Weak electrolytes have lower molar conductivities and lower degree of dissociation at higher concentrations which increases steeply at lower concentrations. Therefore, limiting molar conductivity, Ëm° cannot be obtained by extrapolation of molar conductivity to zero concentration. Hence, we use Kohlrausch law of independent migration of ions for determining limiting molar conductivity, Ëm° of weak electrolytes.
● Answer -
- When 1 mol KCl dissolved in 1 L water is diluted to 5 L, molar conductivity of solution is increased.
● Explaination -
- Molar conductivity of solution is related to concentration of solute by relation -
Λ ∝ 1/C
- On dilution concentration of solute decreases, thus molar conductivity increases.
- Therefore, molar conductivity is increased when 1 mol KCl dissolved in 1 L water is diluted to 5 L.
Hope this helps you...