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