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Balancing C2H6 + O2 first gives 3H2O and 2CO2, which needs seven oxygen atoms. Which O2 coefficient is used before clearing fractions?
AA coefficient of 5/2 for O2
BA coefficient of 3/2 for O2
CA coefficient of 9/2 for O2
DA coefficient of 7/2 for O2
Answer & Solution
Correct answer: D. A coefficient of 7/2 for O2
1. With 3H2O and 2CO2 as products, the oxygen atoms needed are 3 + 4 = 7.
2. Each O2 molecule supplies 2 O atoms, so the coefficient required is 7 divided by 2.
3. That is 7/2, a fraction, which is allowed as an intermediate step.
4. A coefficient of 5/2 would supply only 5 O atoms and 9/2 would supply 9, so neither matches.
5. The fractions are cleared afterwards by multiplying every coefficient by 2.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 4 "Stoichiometry of Chemical Reactions", section 4.1 Writing and Balancing Chemical Equations_
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