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The decomposition of dinitrogen pentoxid...

The decomposition of dinitrogen pentoxide `(N_(2)O_(5))` follows first order rate law. Calculate the rate constant from the given data:
`t=800sec[N_(2)O_(5)]=1.45 "mol"L^(-1)=[A_()]`
`t=1600 sec [N_(2)O_(5)]=0.88"mol"L^(-1)=[A_(2)]`

Text Solution

Verified by Experts

Applying the formula,
`k=(2.303)/((t_(2-t_(1))))log_(10).([A_(1)])/([A_(2)]`
`=(2.303)/((1600-800))log_(10).(1.45)/(0.88)`
`=(2.303)/(800)xx0.2169=6.24xx10^(-4)sec^(-1)`
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