Final answer:
Using the balanced chemical equation, 3 moles of NO₂ produce 2 moles of HNO₃, and therefore from 3.75 moles of NO₂, 2.50 moles of HNO₃ are formed. The correct answer is (a) 2.5 moles.
Step-by-step explanation:
To determine how many moles of HNO₃ are formed from 3.75 moles of NO₂, we need to know the balanced chemical equation that describes the formation of HNO₃ from NO₂ in the presence of water. Although the specific balanced equation is not provided in the question, a common reaction that fits this description is:
3 NO₂(g) + H₂O(l) → 2 HNO₃(aq) + NO(g)
In this balanced equation, we can see that 3 moles of NO₂ produce 2 moles of HNO₃. To find out the number of moles of HNO₃ formed from 3.75 moles of NO₂, we use the mole ratio from the balanced equation:
2 moles of HNO₃ / 3 moles of NO₂ = x moles of HNO₃ / 3.75 moles of NO₂
Cross multiplying to solve for x gives:
x = (2 moles of HNO₃ * 3.75 moles of NO₂) / 3 moles of NO₂ = 2.50 moles of HNO₃
Therefore, from 3.75 moles of NO₂, 2.50 moles of HNO₃ are formed, which corresponds to answer choice (a).