Q.

In the reaction NH4NO2(aq)→N2(g)+2H2O(l) the volume of N2 after 20 min and after a long time is 40 ml and 70 ml respectively. The value of rate constant is :

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a

(1/20)ln⁡(7/4)min⁡−1

b

(2.303/1200)log⁡(7/3)sec⁡−1

c

(1/20)log⁡(7/3)min⁡−1

d

(2.303/20)log⁡(11/7)min⁡−1

answer is B.

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Detailed Solution

NH4NO2(aq)→N2(g)+2H2O(l)K=2.303tlog⁡V∞−VOV∞−Vt⇒ V0=0 ⇒K=2.30320log⁡70−070−40=2.30320log⁡(7030)⇒ K=2.30320×60log⁡73=2.3031200log73 sec-1
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