A) \[{{t}_{1/2}}\propto \frac{1}{a}\]
B) \[{{t}_{1/2}}\propto a\]
C) \[{{t}_{1/2}}\propto \frac{1}{{{a}^{2}}}\]
D) \[{{t}_{1/2}}\propto {{a}^{2}}\]
Correct Answer: B
Solution :
For zero order reaction integrated rate equation is: \[kt=[{{A}_{0}}]-[A]\] If \[[{{A}_{0}}]=a,[A]=\frac{a}{2},t={{t}_{1/2}}\] \[k{{t}_{1/2}}=a-\frac{a}{2}\] \[k{{t}_{1/2}}=\frac{a}{2}\] \[{{t}_{1/2}}=\frac{a}{2k}\] \[\therefore \] \[{{t}_{1/2}}\propto a\]
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