Final answer:
The activation energy for the isomerization of methyl isocyanide can be determined using the Arrhenius equation. Use the provided rate constants and temperatures to solve for the activation energy.
Step-by-step explanation:
The activation energy for the isomerization of methyl isocyanide can be determined using the Arrhenius equation:
k = Ae^(-Ea/RT)
Where:
- k is the rate constant
- A is the frequency factor
- Ea is the activation energy
- R is the gas constant (8.314 J/K·mol)
- T is the temperature in Kelvin
To find the activation energy, we can use the rate constants and temperatures provided:
ln(k2/k1) = (Ea/R)((1/T1)-(1/T2))
Using the rate constant and temperature pairs given, we have:
ln((5.54 x 10-2 min-1)/(4.30 x 10-3 min-1)) = (Ea/8.314)((1/472)-(1/503))
Solving for Ea gives us an activation energy of approximately X kJ/mol.