Surface ChemistryHard

Question

Finely divided catalyst has greater surface area and has greater catalytic activity than the compact solid. If a total surface area of 6291456 cm2 is required for adsorption in a catalysed gaseous 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)

Options

A.60
B.80
C.20
D.22

Solution

Total surface area of eight cubes = 8 × 6 ×
Apply the formula
Surface area on n split of a cube = 8n × 6 ×
6291456  = 8n × 6 ×

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