A catalyst adsorb 100 mL of nitrogen gas at S.T.P. per gram of catalyst surface and forms a mono-molecular layer. The effective surface area occupied by one nitrogen molecule on the surface of catalys

Question

A catalyst adsorb 100 mL of nitrogen gas at S.T.P. per gram of catalyst surface and forms a mono-molecular layer. The effective surface area occupied by one nitrogen molecule on the surface of catalyst is $0.16 \times 10^{- 14} {cm}^{2}$ . What is the total surface area occupied by nitrogen molecules per gram of catalyst?
(Given: Volume of gas at STP = 22.4 L)

TestHub · Accepted Answer

N = 100 22400 × 6.023 × 10 23 = 2.69 × 10 21 Surface area occupied by one molecule = 0.16 × 10 - 14 c m 2 Total area covered by N 2 ( g ) /gram of catalyst = 0.16 × 10 - 14 × 2.69 × 10 21 = 43.04 × 10 5 c m 2

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