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The critical micelle concentration CMC of a cationic colloidal electrolyte is 10 - 3 M . If 1 mm 3 contains 10 13 micelles, the number of cations making one micelle is (Given, N A = 6.0 × 10 23 mol - 1 )

Correct answer

60.00

Step-by-step solution

At C M C , the number of cationic colloidal particles = 10 - 3 × 6.0 × 10 23 = 6.0 × 10 20 per L Therefore, number of particles per m m 3 = 6.0 × 10 20 10 6 ∵ 1 L = 10 6 mm 3 = 6.0 × 10 14 particles/ m m 3 Number of micelles in 1 m m 3 = 10 13 (given) Number of cations forming one micelle = 6.0 × 10 14 10 13 = 60 cations

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