The rate constant of a first order reaction is 4.60 x 10-4 s-1 at 350 oC. If the activation energy is 104 kJ/mol, calculate the temperature in Kelvin at which its rate constant is 1.80 x 10-3 s-1.

Question

The rate constant of a first order reaction is 4.60 x 10-4 s-1 at 350 oC.  If the activation energy is 104 kJ/mol, calculate the temperature in Kelvin at which its rate constant is 1.80 x 10-3 s-1.

DrBob222 · Answer

Use the Arrhenius equation. ln(k2/k Y1) = Ea(1/T1-1/T2)/R You have k1 and k2; also Ea and T1. Substitute and solve for T2.