When ammonia burns in air, nitrogen dioxide and water are produced according to the reaction below:4 NH3(g) + 7 O2(g) → 4 NO2(g) + 6 H2O(l)At 0 °C and 1 atm pressure, burning 44.8 L of ammonia requires:A.6/7 moles O2.B.8/7 moles O2.C.7/4 moles O2.D.7/2 moles O2.
Question
When ammonia burns in air, nitrogen dioxide and water are produced according to the reaction below:4 NH3(g) + 7 O2(g) → 4 NO2(g) + 6 H2O(l)At 0 °C and 1 atm pressure, burning 44.8 L of ammonia requires:A.6/7 moles O2.B.8/7 moles O2.C.7/4 moles O2.D.7/2 moles O2.
Solution
The balanced chemical equation shows that 4 moles of NH3 react with 7 moles of O2. This means that the ratio of NH3 to O2 is 4:7.
At 0 °C and 1 atm pressure, 1 mole of any gas occupies 22.4 L. Therefore, 44.8 L of NH3 is equivalent to 44.8/22.4 = 2 moles of NH3.
Using the ratio of NH3 to O2 (4:7), we can calculate the required moles of O2 for 2 moles of NH3 as follows:
(2 moles NH3) * (7 moles O2 / 4 moles NH3) = 3.5 moles O2
Therefore, burning 44.8 L of ammonia requires 3.5 moles of O2, which is equivalent to 7/2 moles O2. So, the correct answer is D. 7/2 moles O2.
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