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Question: The reaction, N<sub>2</sub>O<sub>5</sub> (g)\(\rightleftarrows\)2 NO<sub>2</sub> (g) +\(\frac{1}{2}\...

The reaction, N2O5 (g)\rightleftarrows2 NO2 (g) +12\frac{1}{2} O2 (g), is started with initial pressure of N2O5 (g) equal to 600 torr. What fraction of N2O5 (g) decomposed when total pressure of the system is 960 torr?

A

0.05

B

0.1

C

0.2

D

0.4

Answer

0.4

Explanation

Solution

N2O5 (g) \rightleftarrows 2 NO2 (g) + 12\frac{1}{2} O2 (g)

Initially : 600 torr — —

At equilibrium: (600 – p) torr 2p torr p2\frac{p}{2} torr

Total press is (600+3p2)\left( 600 + \frac{3p}{2} \right) torr

\ 600 + 3p2\frac{3p}{2} = 960

or 3p2\frac{3p}{2} = 360

or p = 240 torr

\fraction of N2O5 (g) decomposed = 240600\frac{240}{600}= 0.4