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 :
| [a] \[{{T}_{1/2}}\] 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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