The number of correct statements from the following is $...........$.
$(A)$ Conductivity always decreases with decrease in concentration for both strong and weak electrolytes.
$(B)$ The number of ions per unit volume that carry current in a solution increases on dilution.
$(C)$ Molar conductivity increases with decrease in concentration.
$(D)$ The variation in molar conductivity is different for strong and weak electrolytes.
$(E)$ For weak electrolytes,the change in molar conductivity with dilution is due to decrease in degree of dissociation.

  • A
    $2$
  • B
    $3$
  • C
    $4$
  • D
    $1$

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Resistance of a conductivity cell filled with a solution of an electrolyte of concentration $0.1 \, M$ is $100 \, \Omega .$ The conductivity of this solution is $1.29 \, S \, m^{-1}.$ Resistance of the same cell when filled with $0.2 \, M$ of the same solution is $520 \, \Omega .$ The molar conductivity of $0.2 \, M$ solution of electrolyte will be..........$\times 10^{-4} \, S \, m^2 \, mol^{-1}$

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Molar conductivity of a weak acid $HQ$ of concentration $0.18 \ M$ was found to be $1/30$ of the molar conductivity of another weak acid $HZ$ with concentration of $0.02 \ M$. If $\lambda_{Q^{-}}^0 = \lambda_{Z^{-}}^0$, then the difference of the $pK_a$ values of the two weak acids $(pK_a(HQ) - pK_a(HZ))$ is . . . . . . (Nearest integer).
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Which among the following is the $CORRECT$ formula for the determination of cell constant?

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