Answer: The rate constant
K= 0.967m-1s-1
Explanation: To calculate the rate constant, we will use the Arrhenius equation.
lnK = (- Ea/R) (1/T) + lnZ..........(1)
K is the rate constant
Ea is the activation energy
R is the gas constant
T is the temperature in Kelvin
Z is the constant related to the geometry needed, but in this question Z is equal to zero.
Therefore fro data given, we have
Ea = 1.50 × 102kj/mol = 153kj/mol
R = 8.314j/mol-k
T = 551k
Z= 0
Therefore using the equation
lnK = -153÷ (8.314 × 551) = -153 × 4581.014
lnK = - 0.033398719
Taking the ln inverse of K
K = e^ (-0.033398819) = 0.96715286
K= 0.967m-1s-1
This is the rate constant
