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According to the Debye-Huckel limiting law, the mean activity coefficient of 5 × 10–4 mol kg–1 aqueous solution of CaCl2 at 25°C is (the Debye-Huckel constant ‘A’ can be taken to be 0.509)]
- a)0.63
- b)0.72
- c)0.80
- d)0.91
Correct answer is option 'D'. Can you explain this answer?
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According to the Debye-Huckel limiting law, the mean activity coeffici...
Debye-Huckel limiting law is applicable to dilute solutions of electrolytes, which means the concentration of the electrolyte in solution is very low. The law states that at infinite dilution, the activity coefficient of an electrolyte is proportional to the square root of its concentration. The equation for the Debye-Huckel limiting law is as follows:
log γ± = -A(z1z2√I)/(1 + √I)
Where,
γ± = Activity coefficient of the electrolyte
A = Debye-Huckel constant (0.509 at 25°C)
z1 and z2 = charges on the cation and anion respectively
I = Ionic strength of the solution
Given,
Ionic strength (I) = 5 x 10^4 mol/kg
Concentration of CaCl2 = 2 x 5 x 10^4 = 1 x 10^5 mol/kg (since CaCl2 dissociates into 1 Ca2+ ion and 2 Cl- ions)
Substituting the values in the equation, we get:
log γ± = -0.509(2 x 1 x √5 x 10^4)/(1 + √5 x 10^4)
log γ± = -0.509(200)/(1 + 223.61)
log γ± = -101.8/224.61
log γ± = -0.453
γ± = antilog(-0.453)
γ± = 0.91 (approx.)
Therefore, the mean activity coefficient of 5 x 10^4 mol/kg aqueous solution of CaCl2 at 25°C is 0.91. Hence, the correct answer is option D.
log γ± = -A(z1z2√I)/(1 + √I)
Where,
γ± = Activity coefficient of the electrolyte
A = Debye-Huckel constant (0.509 at 25°C)
z1 and z2 = charges on the cation and anion respectively
I = Ionic strength of the solution
Given,
Ionic strength (I) = 5 x 10^4 mol/kg
Concentration of CaCl2 = 2 x 5 x 10^4 = 1 x 10^5 mol/kg (since CaCl2 dissociates into 1 Ca2+ ion and 2 Cl- ions)
Substituting the values in the equation, we get:
log γ± = -0.509(2 x 1 x √5 x 10^4)/(1 + √5 x 10^4)
log γ± = -0.509(200)/(1 + 223.61)
log γ± = -101.8/224.61
log γ± = -0.453
γ± = antilog(-0.453)
γ± = 0.91 (approx.)
Therefore, the mean activity coefficient of 5 x 10^4 mol/kg aqueous solution of CaCl2 at 25°C is 0.91. Hence, the correct answer is option D.
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According to the Debye-Huckel limiting law, the mean activity coefficient of 5 × 10–4 mol kg–1 aqueous solution of CaCl2 at 25°C is (the Debye-Huckel constant ‘A’ can be taken to be 0.509)]a)0.63b)0.72c)0.80d)0.91Correct answer is option 'D'. Can you explain this answer?
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According to the Debye-Huckel limiting law, the mean activity coefficient of 5 × 10–4 mol kg–1 aqueous solution of CaCl2 at 25°C is (the Debye-Huckel constant ‘A’ can be taken to be 0.509)]a)0.63b)0.72c)0.80d)0.91Correct answer is option 'D'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about According to the Debye-Huckel limiting law, the mean activity coefficient of 5 × 10–4 mol kg–1 aqueous solution of CaCl2 at 25°C is (the Debye-Huckel constant ‘A’ can be taken to be 0.509)]a)0.63b)0.72c)0.80d)0.91Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to the Debye-Huckel limiting law, the mean activity coefficient of 5 × 10–4 mol kg–1 aqueous solution of CaCl2 at 25°C is (the Debye-Huckel constant ‘A’ can be taken to be 0.509)]a)0.63b)0.72c)0.80d)0.91Correct answer is option 'D'. Can you explain this answer?.
According to the Debye-Huckel limiting law, the mean activity coefficient of 5 × 10–4 mol kg–1 aqueous solution of CaCl2 at 25°C is (the Debye-Huckel constant ‘A’ can be taken to be 0.509)]a)0.63b)0.72c)0.80d)0.91Correct answer is option 'D'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about According to the Debye-Huckel limiting law, the mean activity coefficient of 5 × 10–4 mol kg–1 aqueous solution of CaCl2 at 25°C is (the Debye-Huckel constant ‘A’ can be taken to be 0.509)]a)0.63b)0.72c)0.80d)0.91Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to the Debye-Huckel limiting law, the mean activity coefficient of 5 × 10–4 mol kg–1 aqueous solution of CaCl2 at 25°C is (the Debye-Huckel constant ‘A’ can be taken to be 0.509)]a)0.63b)0.72c)0.80d)0.91Correct answer is option 'D'. Can you explain this answer?.
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