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The unit of A in Debye-Huckel-Onsager equation for strong electrolytes is:
- a)Ω-1cm2 M-1/ 2
- b)Ω-1cm-2 M1/ 2
- c)Ω-1cm2 M-1
- d)M-1/ 2
Correct answer is option 'D'. Can you explain this answer?
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The unit of A in Debye-Huckel-Onsager equation for strong electrolytes...
The influence of ion-ion interactions on the conductivity of strong electrolytes was studied by Debye and Huckel.
They considered that each ion is surrounded by an ionic atmosphere of opposite sign, and derived an expression relating the molar conductance of strong electrolytes with the concentration by assuming complete dissociations.
It was further developed by Onsager. For a uni-univalent electrolyte the Debye Huckel and Onsager equation is given below.
They considered that each ion is surrounded by an ionic atmosphere of opposite sign, and derived an expression relating the molar conductance of strong electrolytes with the concentration by assuming complete dissociations.
It was further developed by Onsager. For a uni-univalent electrolyte the Debye Huckel and Onsager equation is given below.
Where A and B are constants which depend only in the nature of the solvent and temperature.
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The unit of A in Debye-Huckel-Onsager equation for strong electrolytes...
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The unit of A in Debye-Huckel-Onsager equation for strong electrolytes...
Debye-Huckel-Onsager equation is used to calculate the activity coefficient of electrolyte solutions. The unit of A in this equation for strong electrolytes is M-1/2. Let's understand why.
Debye-Huckel-Onsager equation is given as:
log γ± = -A(Z+)(Z-)(√I)/(1+√I)
Where,
γ± is the activity coefficient of electrolyte
A is the Debye-Huckel constant
Z+ and Z- are the charges of the cation and anion respectively
I is the ionic strength of the solution
Now, let's consider the units of each term in this equation:
log γ± - dimensionless
A - M-1/2
(Z+)(Z-) - dimensionless
√I - M1/2
Therefore, to balance the equation, the unit of A should be M-1/2.
Hence, the correct answer is option D) M-1/2.
Debye-Huckel-Onsager equation is given as:
log γ± = -A(Z+)(Z-)(√I)/(1+√I)
Where,
γ± is the activity coefficient of electrolyte
A is the Debye-Huckel constant
Z+ and Z- are the charges of the cation and anion respectively
I is the ionic strength of the solution
Now, let's consider the units of each term in this equation:
log γ± - dimensionless
A - M-1/2
(Z+)(Z-) - dimensionless
√I - M1/2
Therefore, to balance the equation, the unit of A should be M-1/2.
Hence, the correct answer is option D) M-1/2.
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