If an electrolyte on dissociation gives \(\nu_{+}\) cations and \(\nu_{-}\) anions, then its limiting molar conductivity is given by

The unit for molar conductivity is

Read the passage carefully and answer the questions
The resistance ( \(R\) ) of an object is given by the expression \(R=\rho \frac{l}{A}\)
The inverse of \(R\) is called conductance and the inverse of \(\rho\) is called conductivity or specific conductance represented by \(\kappa\).
The conductivity depends upon the nature of the material (insulator, semiconductor or conductor) and the temperature of the substance.
Similarly, the conductance due to the ions present in the solution. (ionic conductance) depends upon the nature of the electrolyte, size of ions, the nature of the solvent and the temperature.
Molar conductivity ( \(\Lambda _{ m }\) ) of a solution at a given concentration is the conductance of volume \(V\) containing one mole of electrolyte kept between two electrodes of area \(A\) and unit distance apart.
It is given by the expression.\(A_m=\kappa V .\)
Molar conductivity increases with decrease in concentration and when concentration approaches sero, it is called limiting molar conductivity.
The decrease is linear for a strong electrolyte. However, for a weak electrolyte the change is gradual at higher concentrations and sharp near zero concentration.
Using limiting molar conductivity values of strong electrolytes we can calculate the limiting molar conductivity of weak electrolytes using Kohlrausch law of independent migration of ions.
From molar conductivity and limiting molar conductivity we can determine the degree of dissociation \(\left(\frac{\Lambda_m}{\Lambda_m^0}\right)\) and the ionisation constant of a weak acid.
The limiting molar conductivity values for \(HCl , NaCl\) and \(CH _3 COONa\) are \(425.9,126.4\) and \(91.0 S cm ^2 mol^{-1}\), respectively.
Calculate the limiting molar conductivity value for acetic acid.

The molality of solution obtained by dissolving 1.5 g of ethanoic acid \(CH _3 COOH\) in \(2 5 ~ g\) of benzene is :

The half life of decaying \({ }^{14} C\) is 6000 years approximately. How much time is needed to decaying \(80 \%\) of \({ }^{14} C ?[\log 5=0.6990]\)

Correct electronic configuration of Cu and Cr are____________.

The total EMF of a voltaic cell is greater than zero. Which of the following statements is true?

Match List I with List II.

LIST I	LIST II
A. Artificial insemination	I. Infertility
B. Chromosomal disorder	II. Assisted Reproductive Technologies
C. Gonorrhoea	III. Amniocentesis
D. Inability to produce children	IV. Sexually transmitted infections

Choose the correct answer from the options given below:

"Answer the question on basis of passage given below:
\(G = \frac{\kappa A}{l}\) =k(both \(A\) and \(l\) are unity in their appropriate units in m or cm)
Molar conductivity of a solution at a given concentration is the conductance of the volume \(V\) of solution containing one mole of electrolyte kept between two electrodes with area of cross section \(A\) and distance of unit length (\(l\)). Therefore,
\(\Lambda_m = \frac{\kappa A}{l}\)
Since \(l = 1\) and \(A = V\) (volume containing 1 mole of electrolyte),
\(\Lambda_m = \kappa V\)
Calculate \(\Lambda_m\) for aluminium sulphate. When \(\Lambda_m\) for aluminium chloride, sulphuric acid and hydrochloric acid are 236.2, 459.8 and 121.4 S cm\(^2\) mol\(^{-1}\) respectively:"

The matrix \(A=\left[\begin{array}{ccc}0 & 1 & -3 \\ -1 & 0 & 0 \\ 3 & 0 & 0\end{array}\right]\) is a :

The value of \(\left|\begin{array}{ll}\sqrt{3} / 2 & 1 / 2 \\ \sqrt{3} / 2 & 1 / 2\end{array}\right|\)

\(\int_0^2 \frac{\sqrt{x}}{\sqrt{x}+\sqrt{2-x}} d x\) is equal to:

When aniline is reacted with benzoyl chloride, the correct product is