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The reaction is :-

2C2H6 + 7O2 ----------> 4CO2 + 6H2O

When one mole ethane is combusted 7/2 moles of oxygen are used.

When 3 moles of ethane are combusted 3 x 7/2 moles of oxygen used.

No. of oxygen molecules consumed =6.022 x 1023 x7/2= 21.077 x 1023=2.107 x 1024 molecules.

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