A volume of 112 cm³ hydrogen gas is adsorbed uniformly at the surface of 5 g palladium at 273°C and — Surface Chemistry Chemistry Question
Question
A volume of 112 cm³ hydrogen gas is adsorbed uniformly at the surface of 5 g palladium at 273°C and 2 atm. If the effective surface area of each hydrogen molecule is 0.4 nm², then the specific surface area of palladium is
Answer: C
💡 Solution & Explanation
Using ideal gas law, n = PV/RT = (2 atm × 0.112 L) / (0.0821 L atm K⁻¹ mol⁻¹ × 546 K) ≈ 0.005 moles. Number of molecules = 0.005 × 6.022 × 10²³ = 3.011 × 10²¹. Total area covered = (3.011 × 10²¹) × (0.4 × 10⁻¹⁴ cm²) = 1.2 × 10⁷ cm². Specific surface area = Total Area / Mass = 1.2 × 10⁷ cm² / 5 g = 2.4 × 10⁶ cm²/g. Therefore, correct answer is C.
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