The decomposition of an aqueous solution of ammonium nitrite was studied. The volume of nitrogen gas collected at different intervals of time was follows: Time(minutes)101520∞Vol.ofN2(mL)6.259.0011.4035.05 From the above data prove that the reaction is of the first order.
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Solution
For this reaction:
K=1tlnV∞V∞−Vt;V∞=35.05 Values of K at different times are:-
Time
V∞−Vt
1tlnV∞V∞−Vt=k
10 min
35.05-6.25=28.80
110ln35.0528.80=0.019min−1
15 min
35.05-9.00=26.05
115ln35.0526.05=0.019min−1
20 min
35.05-11.40=23.65
120ln35.0523.65=0.019min−1
25 min
35.05-13.65=21.40
125ln35.0521.40=0.019min−1
As value of K is constant it shows that it is first order reaction.