question_answer

The rate of change of concentration of P for reaction : \[P\to Q\,\,is\,\,given\,\,by\frac{-d[P]}{dt}=k{{[P]}^{1/3}}\] The half-life period of the reaction will be

A)  \[\frac{3{{[{{P}_{0}}]}^{2/3}}{{[{{(2)}^{2/3}}-1]}^{2}}}{{{(2)}^{5/3}}\,\,\,K}\]               

B)  \[\frac{\frac{3}{2}{{[{{P}_{0}}]}^{2/3}}[{{(2)}^{2/3}}-1]}{\,K}\]

C)  \[\frac{3{{[{{P}_{0}}]}^{2/3}}[{{(2)}^{2/3}}-1]}{{{(2)}^{5/3}}\,\,\,K}\]

D)  \[\frac{\frac{2}{3}{{[{{P}_{0}}]}^{3/2}}[{{(2)}^{2/3}}-1]}{\,K}\]