Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is $100 Ω$ 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 $Ω$ . The molar conductivity of 0.02 M solution of the electrolyte will be

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$1240 \times 10^{- 4} S m^{2} {mol}^{- 1}$

$12.4 \times 10 - 4 S m^{2} {mol}^{- 1}$

$124 \times 10^{- 4} S m^{2} {mol}^{- 1}$

$1.24 \times 10^{- 4} S m^{2} {mol}^{- 1}$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given $R = 100 Ω$ and $κ = 1.29 S m^{- 1}$

Cell constant $K_{cell} = κ R = (1.29 S m^{- 1}) (100 Ω) = 129 m^{- 1}$

For 0.02 M solution, we have $κ = \frac{K}{R} = \frac{129 m^{- 1}}{520 Ω}$ and $Λ = \frac{κ}{c} = \frac{(129 / 520) S m^{- 1}}{0.02 \times 10^{3} mol m^{- 3}} = 124 \times 10^{- 4} {Sm}^{2} {mol}^{- 1}$

Watch 3-min video & get full concept clarity

hear from our champions

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET