According to the collision model of kinetics, certain activtion energy must be overcome before a reaction can proceed. Based on the data given below, what is a reasonable estimate of the activation energy for the decomposition of NOCl ?
`2NOCl(g) rarr 2NO(g) + Cl_(g)`
`{:("Temperature (K)","Rate constant, k(L/mol s)"),(400,6.6 xx 10^(-4)),(500,2.9 xx 10^(-1)),(600,1.63 xx 10^(1)):}`

Options

A. `1.00 xx10^(2)` kj/mol
B. `1.23 xx10^(3)` kj/mol
C. `1.05 xx10^(5)` kj/mol
D. `1.34 xx10^(6)` kj/mol

Answer

A

Explanation

ln `(k_(2))/(k_(1))=(E_(a))/(R )(T_(2)-T_(1))/(T_(1)T_(2))` from first two data
From last two data L ln `(1.63 xx10)/(2.9 xx10^(-1))=(E_(a))/(8.314)(100)/(500xx600) rarr E_(a)=100.5 rarrEa =100 kj`