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From the following data for the decompos...

From the following data for the decomposition of ammonium nitrite in aqueous solution,prove that the reaction is first order
Time (minutes ) 10 15 20 25 `infty`
Volume `N_(2)` (mL) 6.25 9.00 11.40 13.65 35.05

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Time Vt(mL) `V_(prop)V_(t) (l)/(t) ln (V_(prop))/(V_(prop)-V_(t))=k`
`10 min 6.25 35.05 -6.25 =28.80 mL 1/10 ln 35.05/28.80 =0.01976 min^(-1)`
15 min 9.00 35.05 -9.00 =26.05 mL `1/15 ln 35.05/26.05=0.01976 min^(-1)`
25 min 13.65 35.05 -13.65 =21.40 mL `1/25 ln 35.05/21.40 =0.0197 min^(-1)`
Aconstant value of k shows that the reaction is first order
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