For a second order reaction, `2Ararr` Products, a plot of log `t_(1//2)` vs log a (where a is initial concentration) will give an intercept equal to which one of the following?

Options

A. `(1)/(k)`
B. `log ((1)/(2k))`
C. `log ((1)/(k))`
D. log k

Answer

D

Explanation

Kinetic equation for second order reaction is :
`k=(1)/(t)[(1)/((a-x))-(1)/(a)]`
when `x=(a)/(2)'t=t_(1//2)`
`:. Log_(1//2)=(1)/(k)xx(1)/(a)`
`log_(1//2)=-loga`