1. Tardigrade
  2. Question
  3. Chemistry
  4. Calculate the surface area of a catalyst (in terms of 103 cm2) that adsorbs 103 cm3 of nitrogen reduced to STP per gram in order to form the monolayer. The effective area occupied by N2 molecule on the surface is 1.62 × 10-15 cm2

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Q. Calculate the surface area of a catalyst (in terms of $10^{3}$ cm$^{2}$) that adsorbs $10^{3}$ cm$^{3}$ of nitrogen reduced to $STP$ per gram in order to form the monolayer. The effective area occupied by $N_{2}$ molecule on the surface is $1.62 \times 10^{-15}$ cm$^{2}$

Surface Chemistry

Solution:

No. of $N_{2}$ molecules$= \frac{10^{3} \times6.023 \times10^{23}}{22400} = 2.69 \times10^{22}$
Total area covered by $N_{2} = 2.69 \times10^{22} \times1.62 \times10^{-15}$
$ = 435 \times10^{5}$ cm$^{2}$
$ = 4.35 \times10^{3}$ cm$^{2}$