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Q.

N2 is obtained by the decomposition of benzene diazonium chloride at constant temperature. It is a first - order reaction the various volumes obtained at different time intervals are as    The rate constant of the reaction is

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a

3.54×10−2min−1

b

3.2×10−3min−1

c

3.89×10−3min−1

d

3.1×10−5min−1

answer is B.

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Detailed Solution

Decomposition of benzene diazonium chloride occur the following manner.C6H5N=NCl⟶C6H5Cl+N2The volume of nitrogen obtained shows the extent of decomposition of benzene diazonium chloride so   a∝V∞=162mL(a−x)∝V∞−VtmLFor first order reaction, k=2.303tlog10V∞−V0V∞−Vtor                                   k=2.303tlog10V∞V∞−Vl                    ∵V0=0At 20 min                     k=2.30320log10162162−10                                         =2.30320log10162152=3.18×10−3min−1≈3.2×10−3min−1
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