A reaction R --> P has the rate constant, k1 = 2.52 x 10-3 s-1 at 80.0 °C, and activation energy, Ea = 54.6 kJ.mol-1. At 110 °C, what is new rate constant, k2?
4.48 x 10^8
1.33 x10^-3
1.33 x 10^8
1.08 x 10^-1
1.08 x 10^-2
this is the temperature dependent equation for rate constant
k = ko e^(-Ea/RT)
Given
Ea = 54.6 KJ/mol = 54600 J/mol
T1 = 80 C = 80 + 273 = 353 K
k1 = 2.52 * 10-3 s-1
T2 = 110 C = 273 + 110 = 383 K
k2 = ?
R = 8.314 J/mol.K
k1 / k2 = ko e^(-Ea/RT1) / ko e^(-Ea/RT2)
k1 / k2 = e^(-Ea/RT1) / e^(-Ea/RT2) = e^(-Ea/RT1+Ea/RT2)
sub known values
2.52 * 10-3 s-1 / k2 = e^( - (54600 / (8.314 J/mol.K *353 K) ) + (54600 / (8.314 J/mol.K *383 K) ) )
2.52 * 10-3 s-1 / k2 = e^(-1.457)
2.52 * 10-3 s-1 / k2 = 0.2329
k2 = 1.08 * 10-2 s-1 Answer
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