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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Surface Chemistry

NTA Abhyas 2020 · Chemistry · Surface Chemistry

A catalyst adsorb 100 mL of nitrogen gas at S.T.P. per gram of...

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 0.16×10−14cm20. 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)

Options

  1. A43.04×105cm243.04 \times {10}^{5}cm^{2}
  2. B0.18×10−15cm20.18 \times {10}^{- 15}cm^{2}
  3. C42×105cm242 \times {10}^{5}cm^{2}
  4. D0.19×9−15cm20.19 \times {9}^{- 15}cm^{2}

Correct answer

A. 43.04×105cm243.04 \times {10}^{5}cm^{2}

Step-by-step solution

N=10022400×6.023×1023=2.69×1021N = \dfrac{100}{22400} \times 6.023 \times {10}^{23} = 2.69 \times {10}^{21}

Surface area occupied by one molecule =0.16×10−14cm2= 0.16 \times {10}^{- 14}cm^{2}

Total area covered by N2(g){N}_{2} ( g ) /gram of catalyst =0.16×10−14×2.69×1021=43.04×105cm2= 0.16 \times {10}^{- 14} \times 2.69 \times {10}^{21} = 43.04 \times {10}^{5}cm^{2}
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