Which of the following graphs is correct for a first order reaction ?
For the first order reaction
k=2.303tlog[R]0[R]kt2.303=log[R]0[R]log[R]0[R]=(k2.303)×t+0 ↑y= ↑m ↑x+↑c
Correct plot of log log[R]0[R] can be represented by (d)
where, slope= k2.303
The time taken for any fraction of the reaction to complete is independent of the initial concentration. Let, us consider it for half of the reaction to complete.
For half-life t=t1/2and x=a2
Half-life time t1/2=0.693k
t1/2 is independent of initial concentration. Hence, correct plot of t1/2 and [R]0 can be represneted by a.