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← JEE Main 2022 · 25 Jul · Shift 2
ChemistrySingle correct+4 / -1Question 64 of 90

JEE Main 2022 · 25 Jul · Shift 2, Chemistry question 64

The molar conductivity of a conductivity cell filled with 10 moles of 20 mL NaCl solution is Λm1\Lambda_{m1} and that of 20 moles another identical cell heaving 80 mL NaCl solution is Λm2\Lambda_{m2}. The conductivities exhibited by these two cells are same. The relationship between Λm2\Lambda_{m2} and Λm1\Lambda_{m1} is

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Answer and worked solution

Official answer: A

Λm=κc\Lambda_m=\frac\kappa c with equal κ: c1=100.02c_1=\frac{10}{0.02}, c2=200.08c_2=\frac{20}{0.08}, half as much, so Λm2=2Λm1\Lambda_{m2}=2\Lambda_{m1}.

(A)