810 1 Typical complex reactions 10.1.1 Opposing Reaction/reversible reaction (2)rate equation Under equilibrium conditions For first-first order opposing reaction k(a-x)=kx k(a-xe) B x X.-X t=0 k fe k t (x-x The total rate is a-x xe dx k(a-x)-k atFor first-first order opposing reaction: (2) rate equation t = 0 a 0 The total rate is k a x k x dt dx = + − − − ( ) e e k a x k x ( ) + − − = e e k a x ( ) k x + − − = Under equilibrium conditions e e dx ( ) x x k a dt x + − = t = t e a-xe xe t = t a-x x 10.1.1 Opposing Reaction / reversible reaction e e e ln ( ) x x k at x x + = − e e e ln ( ) a x x k at x x − − = − §10.1 Typical complex reactions