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Finely divided catalyst has greater surf...

Finely divided catalyst has greater surface area and has greater catalytic activity than the compact solid. If a total surface area of 6291456 `cm^(2)` is required for adsorption in a catalytic gaseous reaction, then how many splits should be made in 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]

A

`60`

B

`80`

C

`20`

D

`22`

Text Solution

Verified by Experts

The correct Answer is:
C
Total surface area of eight cubes `=8xx6xx(1/2xx1/2)`
Apply the formula
Surface area on a split of a cube `=8^(n)xx6xx(1/2)^(2n)`
`6291456=8^(n)xx6xx(1/2)^(2n)`
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