题目内容

8.加热N2O5,依次发生分解反应:①N2O5(g)?N2O3(g)+O2(g)、②N2O3(g)?N2O(g)+O2(g).在体积为2L的恒容密闭容器中充入8mol N2O5,加热到T℃时O2和N2O3的物质的量分别为9mol、3.4mol,则T℃时$\frac{c({N}_{2}{O}_{3})•c({O}_{2})}{c({N}_{2}{O}_{5})}$为(  )
A.10.7B.8.5C.9.6D.10.2

分析 加热到T℃时O2和N2O3的物质的量分别为9mol、3.4mol,则
①N2O5(g)?N2O3(g)+O2(g)
                         x               x
②N2O3(g)?N2O(g)+O2(g)
       y                                y
则$\left\{\begin{array}{l}{x-y=3.4}\\{x+y=9}\end{array}\right.$,解得x=6.2,y=2.8,以此来解答.

解答 解:加热到T℃时O2和N2O3的物质的量分别为9mol、3.4mol,则
①N2O5(g)?N2O3(g)+O2(g)
                         x               x
②N2O3(g)?N2O(g)+O2(g)
       y                                y
则$\left\{\begin{array}{l}{x-y=3.4}\\{x+y=9}\end{array}\right.$,解得x=6.2,y=2.8,
则T℃时$\frac{c({N}_{2}{O}_{3})•c({O}_{2})}{c({N}_{2}{O}_{5})}$=$\frac{\frac{3.4mol}{2L}×\frac{9mol}{2L}}{\frac{8mol-6.2mol}{2L}}$=8.5,
故选B.

点评 本题考查化学平衡的计算,为高频考点,把握连续反应中物质的量的变化为解答的关键,侧重分析与计算能力的考查,注意N2O5的浓度计算为解答的难点和易错点,题目难度不大.

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