Consider the hypothetical reaction:
A+BrightleftharpoonsC+DA+B⇌C+D
Now there is a forward rate.......
"Rate forward"=k_f[A][B]Rate forward=kf[A][B]
And there is a reverse rate.......
"Rate backwards"=k_r[C][D]Rate backwards=kr[C][D].
The condition of chemical equilibrium does not specify the cessation of chemical change; it does specify equality of FORWARD and REVERSE rates.
"Rate forward"="Rate backward"Rate forward=Rate backward, and so.........
k_f[A][B]-=k_r[C][D]kf[A][B]≡kr[C][D].......and so......
k_f/k_r=([C][D])/([A][B])kfkr=[C][D][A][B]
We commonly call the k_f/k_rkfkr quotient as K_"eq"Keq, the
"thermodynamic equilibrium constant"thermodynamic equilibrium constant, which is usually independent of temperature.