6. The activation energy, E., for the first-order decomposition reaction of dini

Question

6. The activation energy, E., for the first-order decomposition reaction of dinitrogen pentoxide is 102 kJ/mol: Ifthe value of the rate constant (k) ?s 1.35 x ï0" s-at 35°C. calculate the rate constant at 0°C K2. 8 31431K mol (308 273 E a 102 KJ/mol ?/mol 7. The decomposition of sulfuryl chloride occurs according to the reaction The pressure of sulfuryl chloride at 250°C was monitored as a function of time and the following data was collected Time (s) 0 2500 5000 7500 10,000 1.000 0.947 0.895 0.848 0.803 Determine (a) the order of the reaction and (b) the value of the rate constant for the reaction.

Explanation / Answer

1)

Given:

T1 = 35 oC

=(35+273)K

= 308 K

T2 = 0 oC

=(0+273)K

= 273 K

K1 = 1.35*10^-4 s-1

Ea = 102 KJ/mol

= 102000 J/mol

use:

ln(K2/K1) = (Ea/R)*(1/T1 - 1/T2)

ln(K2/1.35*10^-4) = (102000.0/8.314)*(1/308.0 - 1/273.0)

ln(K2/1.35*10^-4) = 12268*(-4.163*10^-4)

K2 = 8.175*10^-7 s-1

Answer: 8.175*10^-7 s-1

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