Final answer:
Using stoichiometry and the provided balanced chemical equation, we calculated the number of moles of NO that could be produced from the reacted ammonia and oxygen, concluding that 5.85 moles of NO were formed.
The correct option is A.
Step-by-step explanation:
To calculate the number of moles of NO(g) formed, we can use the provided information and the stoichiometry of the balanced chemical equation:
4NH₃(g) + 5O₂(g) → 4NO(g) + 6H₂O(g)
Following the stoichiometry of the reaction, 4 moles of NH₃ react with 5 moles of O₂ to produce 4 moles of NO. Initially, 6.00 moles of NH₃ and 15.00 moles of O₂ were present.
Since all of the NH₃ is consumed, we can use the stoichiometry to determine that:
- 6.00 moles NH₃ (initial amount) × (5 moles O₂ / 4 moles NH₃) = 7.50 moles O₂ (theoretical amount needed)
- 15.00 moles O₂ (initial amount) - 5.15 moles O₂ (remaining amount) = 9.85 moles O₂ (actual amount reacted)
Since the actual amount of O₂ that reacted (9.85 moles) is more than what would be needed if only NO was formed (7.50 moles), it indicates that both NO and NO₂ may have formed. However, we need to calculate only for NO formation:
- 6.00 moles NH₃ (initial amount) × (4 moles NO / 4 moles NH₃) = 6.00 moles NO (theoretical amount if only NO was formed)
- The excess O₂ reacted while forming NO could not have resulted in more than the initial stoichiometric amount of NO.
Based on these calculations, the answer is 6.00 moles of NO, but we need to correct this with the actual amount of O₂ consumed. Since the amount of O₂ consumed was more than the stoichiometric requirement for NO, we deduce that all the NH₃ went into producing NO, and the excess O₂ was used for further reactions (such as forming NO₂ or being leftover).
The correct answer is: a) 5.85 moles
The correct option is A.