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 ina catalysed gaseous reaction, then how many splits should be made to a cube of exactly I cm in length to achieve required surface area. (Given : One split of a cube giveseight cubes of same size)
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a
60
b
80
c
20
d
22
answer is C.
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Detailed Solution
Total surface area of eight cubes =8×6×12×12Apply the formulaSurface area on n split of a cube =8n×6×122n6291456=8n×6×122nn cubes of x cm surface are6x2=6291456x2=1048576∴2y=1048576y = 20