A) initial concentration
B) cube root of initial concentration
C) first power of final concentration
D) square root of final concentration
Correct Answer: A
Solution :
\[{{T}_{1/2}}\] of nth order reaction \[\propto \,\,\frac{1}{{{a}^{n-1}}}\] where a\[\to\] initial concentration of reactant n \[\to \]order of reaction \[\therefore {{T}_{1/2}}\] for first order reaction \[{{T}_{1/2}}\,\propto \,\,\frac{1}{{{a}^{n-1}}}\,(n=1)\] \[{{T}_{1/2}}\,\propto \,\,\frac{1}{{{a}^{1-1}}}\] or \[{{T}_{1/2}}\,\propto \,\,\frac{1}{{{a}^{0}}}\] So, for a first order reaction half-life is independent on initial concentration of reactants.
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