# Steady state approximation for three-step cycle

How to write the steady state for $$\ce{A}?$$ $$\ce{A ->[k_1] B ->[k_2] C ->[k_3] A}$$

Species $$\ce{A}$$ seems to appear on both side of equation as it uses itself to produce some of itself. I have checked some online tutorials but I found none cover this scenario.

• One approximation could be $\ce{B <=> C}$ and at steady state, $\ce{[B]}$ and $\ce{[C]}$ do not change. May 24 '21 at 18:41
• A, B and C remain constant in this scheme. May 24 '21 at 18:46
• They come to equilibrium with amounts proportional to the ratio of rate constants. If all k's are equal then the population is 1/3 each. May 25 '21 at 10:05
• May 25 '21 at 11:58