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It was found that 0.10 mg of an adsorbate covered 0.06 m² of a solid surface. If the molar mass of tSurface Chemistry Chemistry Question

Question

It was found that 0.10 mg of an adsorbate covered 0.06 m² of a solid surface. If the molar mass of the adsorbate is 0.25 kg/mol, then the effective area of each adsorbate molecule (in 10⁻²⁰ m²) is (N_A = 6.0 × 10²³).

Answer: 0025

💡 Solution & Explanation

Mass of adsorbate = 0.10 mg = 1.0 × 10⁻⁴ g. Molar mass = 0.25 kg/mol = 250 g/mol. Moles of adsorbate = (1.0 × 10⁻⁴) / 250 = 4.0 × 10⁻⁷ mol. Number of molecules = Moles × N_A = 4.0 × 10⁻⁷ × 6.0 × 10²³ = 2.4 × 10¹⁷ molecules. Total surface area covered = 0.06 m². Effective area per molecule = 0.06 m² / (2.4 × 10¹⁷ molecules) = 0.025 × 10⁻¹⁷ m² = 25 × 10⁻²⁰ m². The value in 10⁻²⁰ m² is 25. Therefore, correct answer is 0025.

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