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ARRHENIUS EQUATION CALCULATIONS The activation energy for the gas phase decomposition of dinitrogen pentoxide is 103...

ARRHENIUS EQUATION CALCULATIONS The activation energy for the gas phase decomposition of dinitrogen pentoxide is 103 kJ. N2O52 NO2 + 1/2 O2 The rate constant at 319 K is 5.59×10-4 /s. The rate constant will be 6.37×10-3 /s at ______ K.

PART 2 The activation energy for the gas phase isomerization of isopropenyl allyl ether is 123 kJ. CH2=C(CH3)-O-CH2CH=CH2CH3COCH2CH2CH=CH2 The rate constant at 432 K is 2.68×10-4 /s. The rate constant will be______ /s at 474 K.

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Answer #1

1)

Given:

T1 = 319 K

K1 = 5.59*10^-4 /s

K2 = 6.37*10^-3 /s

Ea = 103 KJ/mol

= 103000 J/mol

use:

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

ln(6.37*10^-3/5.59*10^-4) = (103000.0/8.314)*(1/319 - 1/T2)

2.4332 = 12388.7419*(1/319 - 1/T2)

T2 = 340 K

Answer: 340 K

2)

Given:

T1 = 432 K

T2 = 474 K

K1 = 2.68*10^-4 /s

Ea = 123 KJ/mol

= 123000 J/mol

use:

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

ln(K2/2.68*10^-4) = (123000.0/8.314)*(1/432 - 1/474.0)

ln(K2/2.68*10^-4) = 14794*(2.051*10^-4)

K2 = 5.572*10^-3 /s

Answer: 5.57*10^-3 /s

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