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According to the collision model of kine...

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)):}`

A

`1.00 xx 10^(2)` kJ/mol

B

`1.23 xx 10^(3)` kJ/mol

C

`1.05 xx 10^(5)` kJ/mol

D

`1.34 xx 10^(6)` kJ/mol

Text Solution

Verified by Experts

`ln((k_(2))/(k_(1))) = (E_(a))/(R) ((T_(2)-T_(1))/(T_(1)T_(2)))` from first two data :
`rArr ln ((2.9 xx 10^(-1))/(6.6 xx 10^(-4))) = (E_(a))/(8.314)((100)/(400 xx 500)) rArr E_(a) = 101.2 kJ`
From last two data : `lm((1.63 xx 10)/(2.9 xx 10^(-1))) = (E_(a))/(8.314)((100)/(500 xx 600))`
`rArr E_(a) = 100.5 rArr E_(a) ~~ 100 kJ`
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