Question

Finely divided catalyst has greater surface area and has greater catalytic activity than a compact solid. If a total surface area of 6291456 cm² is required for adsorption of gaseous reaction in a catalysed reaction, then the number of splits should be made of a cube exactly 1 cm in length is ______.
[Given : After each split new cubes of equal dimensions are formed.]

Options

• 10.00

• 20

• 56.20

• 10.23

Answer 1

Finely divided catalyst has greater surface area and has greater catalytic activity than a compact solid. If a total surface area of 6291456 cm² is required for adsorption of gaseous reaction in a catalysed reaction, then the number of splits should be made of a cube exactly 1 cm in length is 20.

Explanation:

n cubes of x cm. Surface area are 

6x² = 6291456

x² = 1048576

∴ 2^y = 1048576

⇒ y = 20