Medium INTEGER +4 / -1 PYQ · JEE Mains 2021

A 5.0 m mol dm$-$3 aqueous solution of KCl has a conductance of 0.55 mS when measured in a cell of cell constant 1.3 cm$-$1. The molar conductivity of this solution is ___________ mSm2 mol$-$1. (Round off to the Nearest Integer).

Answer (integer) 14

Solution

Conductance = ${{Conductivity} \over {Cell\,cons\tan t}}$<br><br>$\therefore$ Conductivity = 0.55 $\times$ 10<sup>$-$3</sup> $\times$ 1.3 S cm<sup>$-$1</sup><br><br>Molar conductivity = ${{Conductivity\,(S\,c{m^{ - 1}}) \times 1000} \over {Molarity\,(mol/L)}}$<br><br>$$ = {{0.55 \times {{10}^{ - 3}} \times 1.3 \times 100} \over {5 \times {{10}^{ - 3}}}}$$<br><br>= 143 S cm<sup>2</sup> mol<sup>$-$1</sup><br><br>= 14.3 mS m<sup>2</sup> mol<sup>$-$1</sup><br><br>$\approx$ 14 mS m<sup>2</sup> mol<sup>$-$1</sup>

About this question

Subject: Chemistry · Chapter: Electrochemistry · Topic: Electrochemical Cells

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