Which is the conductivity of $0.02 \ M \ HCl$ solution if molar conductivity of the solution at $25^{\circ} C$ is $412.3 \ \Omega^{-1} \ cm^{2} \ mol^{-1}$?

  • A
    $8.880 \times 10^{-3} \ \Omega^{-1} \ cm^{-1}$
  • B
    $8.414 \times 10^{-3} \ \Omega^{-1} \ cm^{-1}$
  • C
    $8.624 \times 10^{-3} \ \Omega^{-1} \ cm^{-1}$
  • D
    $8.246 \times 10^{-3} \ \Omega^{-1} \ cm^{-1}$

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Similar Questions

If the conductivity of mercury at $0^{\circ} \, C$ is $1.07 \times 10^{6} \, S \, m^{-1}$ and the resistance of a cell containing mercury is $0.243 \, \Omega$,then the cell constant of the cell is $x \times 10^{4} \, m^{-1}$. The value of $x$ is ...... (Nearest integer).

An aqueous solution of $X$ is added slowly to an aqueous solution of $Y$ as shown in List-$I$. The variation in conductivity of these reactions is given in List-$II$. Match List-$I$ with List-$II$ and select the correct answer using the code given below the lists :
List-$I$ List-$II$
$P$. $\underset{X}{(C_2H_5)_3N} + \underset{Y}{CH_3COOH}$ $1$. Conductivity decreases and then increases
$Q$. $\underset{X}{KI (0.1 \ M)} + \underset{Y}{AgNO_3 (0.01 \ M)}$ $2$. Conductivity decreases and then does not change much
$R$. $\underset{X}{CH_3COOH} + \underset{Y}{KOH}$ $3$. Conductivity increases and then does not change much
$S$. $\underset{X}{NaOH} + \underset{Y}{HI}$ $4$. Conductivity does not change much and then increases

Codes: $P \quad Q \quad R \quad S$

What is the concentration of an electrolyte solution to have molar conductivity of $101 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ and conductivity of $1.01 \times 10^{-2} \ \Omega^{-1} \ cm^{-1}$ at $298 \ K$ (in $M$)?

Calculate the molar conductivity of $CH_2ClCOOH$ at zero concentration if molar conductivities of $HCl$,$KCl$,and $CH_2ClCOOK$ at zero concentration are $4.2$,$1.4$,and $1.1 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ respectively.

In a conductivity cell,the electrodes are separated by a distance of $2 \ cm$ and have a cross-sectional area of $4 \ cm^2$. If the conductivity of pure water is $8 \times 10^{-7} \ S \ cm^{-1}$,then the resistance of the water is:

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