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The quivalnet conductance of any electr...

The quivalnet conductance of any electrolyte `MA` at infinite dilution `wedge^(@)._((MA))` is equal `(` more than one correct answer`)`
1) `wedge^(@)._((MA))=wedge^(c-)._((MCl))+wedge^(@)._((NaA))+wedge^(@)._((NaCl))`
2) `wedge^(@)._((MA))=wedge^(c-)._((MCl))+wedge^(@)._((NaA))-wedge^(@)._((NaCl))`
3) `wedge^(@)._((MA))=lambda^(@)._((M^(o+)))+lambda^(@)._((A^(c-)))`
4) `wedge^(@)._((MA))=wedge^(c-)._((MCl))+wedge^(@)._((NaA))-wedge^(@)._((NaCl))`

A

`wedge^(@)._((MA))=wedge^(c-)._((MCl))+wedge^(@)._((NaA))+wedge^(@)._((NaCl))`

B

`wedge^(@)._((MA))=wedge^(c-)._((MCl))+wedge^(@)._((NaA))-wedge^(@)._((NaCl))`

C

`wedge^(@)._((MA))=lambda^(@)._((M^(o+)))+lambda^(@)._((A^(c-)))`

D

`wedge^(@)._((MA))=wedge^(c-)._((MCl))+wedge^(@)._((NaA))-wedge^(@)._((NaCl))`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the equivalent conductance of the electrolyte \( MA \) at infinite dilution, we will analyze the options provided based on Kohlrausch's Law. ### Step-by-Step Solution: 1. **Understanding Equivalent Conductance**: The equivalent conductance \( \Lambda^0_{MA} \) at infinite dilution is defined as the conductance of one equivalent of the electrolyte when it is completely dissociated into its ions. 2. **Kohlrausch's Law**: According to Kohlrausch's Law, the molar conductivity of a weak electrolyte at infinite dilution can be expressed as the sum of the molar conductivities of its constituent ions: \[ \Lambda^0_{MA} = \Lambda^0_{M^+} + \Lambda^0_{A^-} \] where \( M^+ \) is the cation and \( A^- \) is the anion. 3. **Evaluating the Options**: - **Option 1**: \[ \Lambda^0_{MA} = \Lambda^0_{MCl} + \Lambda^0_{NaA} + \Lambda^0_{NaCl} \] This does not match our expression from Kohlrausch's Law, as it includes additional terms that do not simplify to \( \Lambda^0_{M^+} + \Lambda^0_{A^-} \). **Not correct**. - **Option 2**: \[ \Lambda^0_{MA} = \Lambda^0_{MCl} + \Lambda^0_{NaA} - \Lambda^0_{NaCl} \] Breaking this down: - \( \Lambda^0_{MCl} = \Lambda^0_{M^+} + \Lambda^0_{Cl^-} \) - \( \Lambda^0_{NaA} = \Lambda^0_{Na^+} + \Lambda^0_{A^-} \) - \( \Lambda^0_{NaCl} = \Lambda^0_{Na^+} + \Lambda^0_{Cl^-} \) Substituting these into the equation, we find that the \( \Lambda^0_{Na^+} \) and \( \Lambda^0_{Cl^-} \) terms cancel out, leading to: \[ \Lambda^0_{MA} = \Lambda^0_{M^+} + \Lambda^0_{A^-} \] This matches our expression from Kohlrausch's Law. **Correct**. - **Option 3**: \[ \Lambda^0_{MA} = \Lambda^0_{M^+} + \Lambda^0_{A^-} \] This directly follows from Kohlrausch's Law, confirming that it is indeed correct. **Correct**. - **Option 4**: \[ \Lambda^0_{MA} = \Lambda^0_{MCl} + \Lambda^0_{NaA} - \Lambda^0_{NaCl} \] This is identical to Option 2, which we have already confirmed as correct. **Correct**. 4. **Conclusion**: The correct options are 2, 3, and 4. ### Final Answer: The equivalent conductance of the electrolyte \( MA \) at infinite dilution is correctly represented by options 2, 3, and 4.

To solve the question regarding the equivalent conductance of the electrolyte \( MA \) at infinite dilution, we will analyze the options provided based on Kohlrausch's Law. ### Step-by-Step Solution: 1. **Understanding Equivalent Conductance**: The equivalent conductance \( \Lambda^0_{MA} \) at infinite dilution is defined as the conductance of one equivalent of the electrolyte when it is completely dissociated into its ions. 2. **Kohlrausch's Law**: ...
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