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How will you calculate degree of dissoci...

How will you calculate degree of dissociation of weak electrolytes and dissociation constant using Kohlrausch's law?

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(i) The degree of dissociation of weak electrolyte can be calculated from the molar conductivity at a given concetration and the molar conductivity in infinite dilution using the formula `alpha = (Lambda_m)/(Lambda_m^@)`
(ii) According to Ostwald.s dilution law, `K_a = (alpha^2 C)/(1 - alpha)`
Substituting `alpha` value in the above equation
`K_a = (Lambda_m^2.C)/(Lambda_m^2 [1 - (Lambda_m)/(Lambda_m^@)]) implies K_a = (Lambda_m^@ C)/(Lambda_m^(@2).((Lambda_m^@ - Lambda_m)/(Lambda_m)) implies k_a = (Lambda_m^2 C)/(Lambda_m^@(Lambda_m^@ - Lambda_m))` .
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Knowledge Check

  • Degree of dissociation alpha is

    A
    `alpha=(K_a)/(C )`
    B
    `alpha=(C^2)/(K_a)`
    C
    `alpha=sqrt((K_a)/(C ))`
    D
    `alpha=sqrt((C )/(K_a))`
  • Degree if dissociation is nearly equal to 1 for

    A
    Strong acids and strong bases
    B
    Strong acids and weak bases
    C
    Weak acids and strong bases
    D
    Weak acids and weak bases
  • The relationship between degree of dissociation of a weak acid and its dissociation constant in a very dilute solution is

    A
    `K_a=alpha^2 C`
    B
    `K_a=(alpha^2 C)/((1+alpha))`
    C
    `K_a=(alpha^2)/((1-alpha)C)`
    D
    `K_a=(alpha)/(C(I-alpha))`
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