The molar conductivity of $0.007 \,M$ acetic acid is $20\, S\, cm ^{2} mol ^{-1}$. What is the dissociation constant of acetic acid? Choose the correct option.
$\left[\Lambda_{ H ^{+}}^{\circ}=350 \,S \,cm ^{2} mol ^{-1},
\Lambda_{ CH _{3} COO ^{-}}^{\circ}=50\, S\, cm ^{2} mol ^{-1}\right]$
- $1.75 \times 10^{-4}\, mol\, L ^{-1}$
- $2.50 \times 10^{-4}\, mol\, L ^{-1}$
- $1.75 \times 10^{-5}\, mol\, L ^{-1}$
- $2.50 \times 10^{-5} \, mol\, L ^{-1}$
The Correct Option is C
Solution and Explanation
$=\frac{\Lambda_{ C }}{\Lambda_{0}}=\frac{20}{350+50}=\frac{1}{20}$
$ K _{ a }=\frac{ C \alpha^{2}}{1-\alpha} $
$1-\alpha \approx 1 $
$K _{ a }= C \alpha^{2} $
$ K _{ a }=0.007 \times \frac{1}{20} \times \frac{1}{20} $
$ K _{ a }=1.75 \times 10^{-5}$
Top Questions on Conductance
- The molar conductance of KCl, HCl and \( \text{CH}_3 \text{COOK} \) are 152, 425 and 91 cm\(^2\) ohm\(^-1\) respectively. Here, the molar conductance of \( \text{CH}_3 \text{COOH} \) at infinite dilution would be.
- Assam CEE - 2024
- Chemistry
- Conductance
- Which of the following substances is a bad conductor of electricity?
- On which factor, electrical conductivity of electrolytic cell does not depend
- JEE Main - 2024
- Chemistry
- Conductance
Following figure shows dependence of molar conductance of two electrolytes on concentration. Λo m is the limiting molar conductivity. The number of incorrect statement(s) from the following is ________
(A) \(\Lambda \text{o m}\) for electrolyte A is obtained by extrapolation.
(B) For electrolyte B, \(\Lambda \text{m}\) vs \(\sqrt c\) graph is a straight line with intercept equal to o \(\Lambda \text{m}\)
(C) At infinite dilution, the value of degree of dissociation approaches zero for electrolyte B.
(D) Λo m for any electrolyte A or B can be calculated using \(\lambda0\) for individual ions.- JEE Main - 2023
- Chemistry
- Conductance
- Choose the correct representation of conductometric titration of benzoic acid vs sodium hydroxide
- JEE Main - 2023
- Chemistry
- Conductance
Questions Asked in NEET exam
A particle is moving along x-axis with its position ($ x $) varying with time ($ t $) as:
$ x = \alpha t^4 + \beta t^2 + \gamma t + \delta. $
The ratio of its initial velocity to its initial acceleration, respectively, is:- NEET (UG) - 2024
- Kinematics
- The E° value for the Mn3+/Mn2+ couple is more positive than that of Cr3+/Cr2+ or Fe3+/Fe2+ due to change of
- NEET (UG) - 2024
- Electronic configuration of atoms and ions
- The compound that will undergo SN1 reaction with the fastest rate is
- NEET (UG) - 2024
- Organic Chemistry- Some Basic Principles and Techniques
- Auxin is used by gardener to prepare weed-free lawns. But no damage is caused to grass as auxin
- NEET (UG) - 2024
- Role of auxin
- In an ecosystem if the Net Primary Productivity (NPP) of first trophic level is 100x (kcal m-2)yr-1, what would be the GPP (Gross Primary Productivity) of the third trophic level of the same ecosystem?
- NEET (UG) - 2024
- Ecosystems
Concepts Used:
Conductance
What is conductance?
Conductance is an expression of the ease with which electric current flows through materials like metals and nonmetals. In equations, an uppercase letter G symbolizes conductance. The standard unit of conductance is siemens (S), formerly known as mho.
What is conductance in electricity?
Conductance in electricity is considered the opposite of resistance (R). Resistance is essentially the amount of friction a component presents to the flow of current.
The conductivity of electrolytic solutions is governed by the following factors:
- Interionic attraction
- Solvation of ions
- The viscosity of the solvent
- Temperature