1.

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`

Answer» Correct Answer - 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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