To determine the activation energy

[Clari]

hi!

I am having serious problem at plotting the graph for the reaction between Bromide ion and Bromate(V) ion in Acid Solution. The Arrhenius euqation is:
$$k= Ae^{-E_a/RT}$$ Taking logarithms on both sides, the equation becomes: $$ln k = ln A + E_a/R (1/T)$$

So generally, a graph of ln k versus 1/T is plotted. However, I don't need to find k in my experiment, so it is suggested that a graph of ln (1/t) versus 1/T is plotted, where t is the time required for the complete disappearing of the red colour.

of course, if two rate constant values are compared, like: $$ln (k1/k2) = -E_a/R (1/T1 - 1/T2)$$, the ln(ka/k2) can be replaced by ln(rate1/rate2), since rate is proporational to k...

Can anybody kindly enough to explain to me why a ln (1/t) versus 1/T is plotted? *confusing*

Thanks!

 

[Gokul43201]

Irrespective of the order of the reaction, you will see that kt(@x=some fixed value) equals either a constant or a function of that fixed point in the reaction co-ordinate. So, it is always posiible to write
$$\frac {1}{t(x=something)} = k*(x=something)^{n-1}$$

$$So,~ln(1/t) = ln(k) + constant$$