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For the reaction, N(2)O(5)(g)=2" NO"(2)(...

For the reaction, `N_(2)O_(5)(g)=2" NO"_(2)(g)+0.5" O"_(2)(g)`, calculate the mole fraction of `N_(2)O_(5)(g)` decomposed at a constant volume and temperature, if the initial pressure is 600 mm Hg and the pressure at any time is 960 mm Hg. Assume ideal gas behaviour.

Text Solution

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Suppose initial pressure of `N_(2)O_(5)` is P mm and decrease is pressure of `N_(2)O_(5)` in time t is p mm.
`"Then "N_(2)O_(5)(g)=2" NO"_(2)(g)+0.5" O"_(2)(g)`
`"Initial "P" mm"`
`{:("After time t,",,,(P-p),,,2p,,,0.5p,,,"Total"=P+1.5p):}`
`P prop 600" mm and "(P+1.5" p")prop 960" mm or "1.5" p "prop 360" mm or "p prop 240" mm"`
Mole fraction of `N_(2)O_(5)` decomposed `=(p)/(P)=(240)/(600)=0.4`
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