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  • A finely divided catalyst has a greater surface area and has greater catalytic activity then a compact solid. If a total surface area of <img alt="6291456 \:\:cm^{2}" src

A finely divided catalyst has a greater surface area and has greater catalytic activity then a compact solid. If a total surface area of 6291456 \:\:cm^{2}   is required for adsorption of gaseous reaction in a catalysed reaction, then how many splits should be made to a cube of exactly 1 cm in length to achieve required surface area. (Given : One split of a cube gives eight cubes of same size)

Option: 1

60


Option: 2

80


Option: 3

20


Option: 4

22


Answers (1)

best_answer

the total surface area of  6291456 cm2  is required for adsorption of gaseous reaction in a catalysed reaction, then how many splits should be made to a cube of exactly 1 cm in length to achieve the required surface area.

This means we have to cut the cube into small pieces. So the total surface area of total pieces should be 6291456 cm2  

One condition, one split of a cube gives eight cubes of same size

Area of cube  = 6 side X area of one side = 6 X (1X1)

After  one split,  (eight cubes of the same size, length will be half of 1 cm or 1/2 cm)

After one split one cube is converting into 8 pieces.
\mathrm{Total\: surface\: area\: of\: eight\: cubes\:=8\times 6\times \left ( \frac{1}{2}\times \frac{1}{2} \right )^{2}}

So, n split the length will be (1/2)^n \ cm of each cube 

Surface will be = 8n

So,

   

Posted by

shivangi.bhatnagar

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