Thermokinetic Oscillator

α

0.05

β

5

γ

500

For a thermokinetic oscillator, the reaction scheme is

A⟶X

,

X⟶R

. The second reaction is exothermic with a reaction enthalpy

H

; it has a substantial activation energy

E

. The concentration of component

A

is constant, the temperature of the surroundings is

T

0

, the density and specific heat of the reaction mixture are

ρ

and

c

ρ

, the area for heat transfer is

A

, the volume of the system is

V

,

α=

2

(E/(RT))

,

β=Ah(Vρ

c

ρ

)

, and

γ=H

k

2

T

0

(ρ

c

ρ

)

. The relevant rate equations are solved and plotted for

ΔT(t)

and

C

X

, the latter scaled up by 1000 for convenience.