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The Arrhenius equation can be used to calculate the rate constant at a different temperature:
k = Ae^(-Ea/RT)
where:
* k is the rate constant
* A is the pre-exponential factor
* Ea is the activation energy
* R is the gas constant (8.314 J/mol*K)
* T is the temperature in Kelvin
We can rearrange this equation to solve for the pre-exponential factor:
A = ke^(Ea/RT)
We are given the rate constant at 298 K and the activation energy, so we can plug these values into the equation to solve for A:
A = (3.46 x 10^-2 s^-1) * e^[(50.2 kJ/mol) / (8.314 J/mol*K * 298 K)]
A = 1.23 x 10^11 s^-1
Now that we have the pre-exponential factor, we can use the Arrhenius equation again to calculate the rate constant at 350 K:
k = Ae^(-Ea/RT)
k = (1.23 x 10^11 s^-1) * e^[(50.2 kJ/mol) / (8.314 J/mol*K * 350 K)]
k = 0.212 s^-1
Therefore, the rate constant at 350 K is 0.212 s^-1.